Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:35:44.375836Z
Paper Citation Record · LEDGER
A bound for the Waring rank of the determinant via syzygies
As of 18 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:1908.08896.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
50 of 50 outbound references displayed
- verified exact6
- verified fuzzy28
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 26a5fbdf-7f95-4fa0-a5f5-5d7b66281966 · outbound
This paper cites Alexander and A.
A bound for the Waring rank of the determinant via syzygies Alexander and A
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.904445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 08e59b21-35ce-4c26-bef9-cc7fb71815e9 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.894302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 71aaaac7-1bb9-4269-9a40-0ce53016f0b7 · outbound
This paper cites 460 (2014), 205–230.
A bound for the Waring rank of the determinant via syzygies 460 (2014), 205–230
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.885517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4747aa8d-ca8a-4bac-9f12-29d73ba975dc · outbound
This paper cites The Hitchhiker guide to: Secant Varieties and Tensor Decomposition.
A bound for the Waring rank of the determinant via syzygies The Hitchhiker guide to: Secant Varieties and Tensor Decomposition
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.494654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 50e005be-6779-4626-9569-47c09869f749 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.876870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1d0af54c-29e1-45c9-9def-4f7e382e4f13 · outbound
This paper cites Symbolic Comput.
A bound for the Waring rank of the determinant via syzygies Symbolic Comput
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.868070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f42279e8-36f6-4333-aa8e-75913b8bbe18 · outbound
This paper cites Algebra 226 (2000), no.
A bound for the Waring rank of the determinant via syzygies Algebra 226 (2000), no
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.858461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2f2536a7-c357-45af-9e7b-8f26f77b0899 · outbound
This paper cites 433 (2010), no.
A bound for the Waring rank of the determinant via syzygies 433 (2010), no
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.848836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fbba9d8f-7583-4029-a1aa-5a9a06503e5c · outbound
This paper cites 39, Cambridge University Press, Cambridge, 1993.
A bound for the Waring rank of the determinant via syzygies 39, Cambridge University Press, Cambridge, 1993
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.839534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b9efa30f-7f85-4d99-90af-f3bbb607e472 · outbound
This paper cites Algebraic Geom.
A bound for the Waring rank of the determinant via syzygies Algebraic Geom
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.830037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 95890f4b-4852-41bc-b74b-8570fe185c1e · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.820452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a423dc7-a799-4628-b558-12c8debb0e89 · outbound
This paper cites Apolarity, border rank and multigraded Hilbert scheme.
A bound for the Waring rank of the determinant via syzygies Apolarity, border rank and multigraded Hilbert scheme
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.480559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 812422fd-8f5d-4445-9cfa-3c8c899cd532 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.811334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation aa6a23e0-c5f8-4f96-b157-fc67fd33a0cd · outbound
This paper cites Algebra 378 (2013), 45–57.
A bound for the Waring rank of the determinant via syzygies Algebra 378 (2013), 45–57
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.801464Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4b611a91-9158-4a77-a57b-7a985fdc923d · outbound
This paper cites Vis., Springer, Berlin, 2006, pp.
A bound for the Waring rank of the determinant via syzygies Vis., Springer, Berlin, 2006, pp
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.792096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e479b62d-75a0-4f39-9f8d-0af57642eccf · outbound
This paper cites Geramita, The solution to the Waring problem for monomials and the sum of coprime monomials , J.
A bound for the Waring rank of the determinant via syzygies Geramita, The solution to the Waring problem for monomials and the sum of coprime monomials , J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.782770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6dde9f96-c081-4817-b511-354215cb576e · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.773229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 425fba36-fdbe-4b86-863c-6417a05d8c63 · outbound
This paper cites Pure Appl.
A bound for the Waring rank of the determinant via syzygies Pure Appl
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.764202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0f750148-1adc-4d0d-8a6e-c0fd46ad2c45 · outbound
This paper cites 7, 1525–1570.
A bound for the Waring rank of the determinant via syzygies 7, 1525–1570
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.754888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 17219e61-c19a-4e38-964b-e04b9a5688fc · outbound
This paper cites Rank and border rank of Kronecker powers of tensors and Strassen's laser method.
A bound for the Waring rank of the determinant via syzygies Rank and border rank of Kronecker powers of tensors and Strassen's laser method
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.466045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a036079f-c361-4dee-b7ba-2f9008137947 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.746284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e6a04d69-a9ae-415b-93c5-e4c7e6ff10d9 · outbound
This paper cites Pure Appl.
A bound for the Waring rank of the determinant via syzygies Pure Appl
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.737959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 09a06aca-d1d3-471f-a9e7-04b2aaf884bd · outbound
This paper cites Dolgachev, Classical algebraic geometry: A modern view , Cambridge University Press, Cambridge,.
A bound for the Waring rank of the determinant via syzygies Dolgachev, Classical algebraic geometry: A modern view , Cambridge University Press, Cambridge,
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.729509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8cdd6312-1de4-444f-a10d-7d91970d5a75 · outbound
This paper cites 229, Springer-Verlag , New York, 2005, A second course in commutative algebra and al gebraic geometry.
A bound for the Waring rank of the determinant via syzygies 229, Springer-Verlag , New York, 2005, A second course in commutative algebra and al gebraic geometry
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.719987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a87103c-8bdf-44ec-9c80-6c23aa4933ab · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.710787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 357d2fa5-d90c-4fcf-ba5e-46aa427727b6 · outbound
This paper cites Algebra 447 (2016), 664–676.
A bound for the Waring rank of the determinant via syzygies Algebra 447 (2016), 664–676
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.700869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5ffeba9f-fe75-425c-8e9b-6c4a962b7c39 · outbound
This paper cites 521 (2017), 254–262.
A bound for the Waring rank of the determinant via syzygies 521 (2017), 254–262
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.691657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9f9012a9-ccc2-4cb2-a88c-229a5a3ab162 · outbound
This paper cites Glynn, The permanent of a square matrix , European J.
A bound for the Waring rank of the determinant via syzygies Glynn, The permanent of a square matrix , European J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.682459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 63a6802e-1787-4a95-b37b-285005a47444 · outbound
This paper cites Grayson and Michael E.
A bound for the Waring rank of the determinant via syzygies Grayson and Michael E
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.672912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9ff6bba2-14b6-43f0-b730-1a954934d371 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.663352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ae27fd28-feed-4943-9734-6f811524131f · outbound
This paper cites Hillar and Lek-Heng Lim, Most tensor problems are NP-hard , J.
A bound for the Waring rank of the determinant via syzygies Hillar and Lek-Heng Lim, Most tensor problems are NP-hard , J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.653942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b8bb5812-77b5-4a9a-b8df-4d267e9de207 · outbound
This paper cites Huibregtse, Some elementary components of the Hilbert scheme of points , Rocky Mountain J.
A bound for the Waring rank of the determinant via syzygies Huibregtse, Some elementary components of the Hilbert scheme of points , Rocky Mountain J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.644376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ef198f59-c1e7-4d3b-98de-2c248da5a032 · outbound
This paper cites Iarrobino and J.
A bound for the Waring rank of the determinant via syzygies Iarrobino and J
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.635076Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bd9567b8-13b7-4a76-82e6-579470463cfc · outbound
This paper cites 1721, Springer-Verlag, Berlin, 1999, Appendix C by Iarrobino and Steven L.
A bound for the Waring rank of the determinant via syzygies 1721, Springer-Verlag, Berlin, 1999, Appendix C by Iarrobino and Steven L
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.625404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06aefcf1-6539-4861-a398-772664ba2393 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.615614Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c1f44a0c-6817-4c32-8ccb-aab371046efa · outbound
This paper cites On the tensor rank of $3\times 3$ permanent and determinant.
A bound for the Waring rank of the determinant via syzygies On the tensor rank of $3\times 3$ permanent and determinant
Reference 36
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.451860Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06f3a35f-92d8-4aa5-a1ff-fd6ed8f3c1ef · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.606942Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d2622fed-3737-4564-8062-4c68f286243d · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.596576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 67f3b532-448f-4086-89be-6b7896bfb8ca · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.586583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7de8a054-560a-4a60-942e-14bb7f360473 · outbound
This paper cites 492 (2016), 89–97.
A bound for the Waring rank of the determinant via syzygies 492 (2016), 89–97
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.576778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8f2f29e3-f292-4e6f-80a0-ab630c884efd · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.567063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7e687884-f78c-40a2-bc37-b2479f2d8158 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.556390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9b1e7e9c-2a27-4943-80ca-c2f0cf34dac6 · outbound
This paper cites Waring Rank, Parameterized and Exact Algorithms.
A bound for the Waring rank of the determinant via syzygies Waring Rank, Parameterized and Exact Algorithms
Reference 43
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.436967Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3578393e-e7fe-4bbf-857c-f095b8f483d8 · outbound
This paper cites Reine Angew.
A bound for the Waring rank of the determinant via syzygies Reine Angew
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.546174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1eabe5b0-2bd2-48eb-9b25-00ff01797abf · outbound
This paper cites Algebra 346 (2011), 340–342.
A bound for the Waring rank of the determinant via syzygies Algebra 346 (2011), 340–342
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.536801Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8cdaa7e4-8aec-4ee8-bfed-f3bd765276c8 · outbound
This paper cites an unresolved cited work.
A bound for the Waring rank of the determinant via syzygies Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:35:44.527546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cad962ed-dc22-4190-b04e-dce726514b59 · outbound
This paper cites How hard is the tensor rank?.
A bound for the Waring rank of the determinant via syzygies How hard is the tensor rank?
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:35:44.365908Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0a3a5d14-5136-4a77-bfbf-33eadd2b19f5 · outbound
This paper cites Sylvester, On a remarkable discovery in the theory of canonical forms and of h yperdeterminants, originally published in Philosophical Magazine, vol.
A bound for the Waring rank of the determinant via syzygies Sylvester, On a remarkable discovery in the theory of canonical forms and of h yperdeterminants, originally published in Philosophical Magazine, vol
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.518011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e23a7bdd-3c49-4349-badb-1ca1ea3045c9 · outbound
This paper cites Geometric lower bounds for generalized ranks.
A bound for the Waring rank of the determinant via syzygies Geometric lower bounds for generalized ranks
Reference 49
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:35:44.411499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b0ba8d52-e064-4b3d-ba51-5b594787f3a3 · outbound
This paper cites Algebraic Combin.
A bound for the Waring rank of the determinant via syzygies Algebraic Combin
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:35:44.506756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.