Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T01:14:14.703142Z
Paper Citation Record · LEDGER
The multiplicity sequence of monomial ideals
As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2608.12731.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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
28 of 28 outbound references displayed
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- unresolved3
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ee0d5eb0-953c-4c82-8440-a24e192e5ce4 · outbound
This paper cites Achilles and M.
The multiplicity sequence of monomial ideals Achilles and M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:15.026031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 130c9119-aa1d-46a2-b1bc-c7fa7853648a · outbound
This paper cites Multiplicity for ideals of maximal analytic spread and intersection theory.
The multiplicity sequence of monomial ideals Multiplicity for ideals of maximal analytic spread and intersection theory
Reference 2
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- raw_fallback, observed 2026-08-16T01:14:15.017120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9d8fb0df-a222-4cbd-9d7d-5d6e39552d87 · outbound
This paper cites Generalized Samuel multiplicities of monomial ideals and volumes.Exp.
The multiplicity sequence of monomial ideals Generalized Samuel multiplicities of monomial ideals and volumes.Exp
Reference 3
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- raw_fallback, observed 2026-08-16T01:14:15.007112Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6334d861-09e8-44ab-b075-a578aaa4a751 · outbound
This paper cites Intersection numbers, Segre numbers and generalized Samuel multiplicities.
The multiplicity sequence of monomial ideals Intersection numbers, Segre numbers and generalized Samuel multiplicities
Reference 4
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- raw_fallback, observed 2026-08-16T01:14:14.997139Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4126ce82-a56c-4fe2-afc6-5967e705936e · outbound
This paper cites Segre classes as integrals over polytopes.J.
The multiplicity sequence of monomial ideals Segre classes as integrals over polytopes.J
Reference 5
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c8ca1f88-aaad-4f4c-885d-933a0508e520 · outbound
This paper cites an unresolved cited work.
The multiplicity sequence of monomial ideals Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T01:14:14.975706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 26b4fa36-e7a1-4bae-ae88-655f4ea959e0 · outbound
This paper cites Polyhedra: a package for computations with convex polyhedral objects.J.
The multiplicity sequence of monomial ideals Polyhedra: a package for computations with convex polyhedral objects.J
Reference 7
- Resolution
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- raw_fallback, observed 2026-08-16T01:14:14.965315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3248183b-00c8-4ff1-b459-f72f83105309 · outbound
This paper cites Springer Monographs in Mathematics.
The multiplicity sequence of monomial ideals Springer Monographs in Mathematics
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.954401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation af130862-44e0-457b-8fa0-036f47703abd · outbound
This paper cites Callejas-Bedregal and V.
The multiplicity sequence of monomial ideals Callejas-Bedregal and V
Reference 9
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- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.943774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1cea5a16-a317-4687-87f9-d82abf63af00 · outbound
This paper cites Computing multiplicity sequences.J.
The multiplicity sequence of monomial ideals Computing multiplicity sequences.J
Reference 10
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- raw_fallback, observed 2026-08-16T01:14:14.933395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b866fb0d-1ad8-4995-a6e7-037a0870b43e · outbound
This paper cites Multidegrees, families, and integral dependence.
The multiplicity sequence of monomial ideals Multidegrees, families, and integral dependence
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T01:14:14.636812Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fb8da86-b581-4838-936a-a20b74c74169 · outbound
This paper cites A numerical characterization of theS2-ification of a Rees algebra.J.
The multiplicity sequence of monomial ideals A numerical characterization of theS2-ification of a Rees algebra.J
Reference 12
- Resolution
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- raw_fallback, observed 2026-08-16T01:14:14.921090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b3438147-d20b-4989-b589-95f40e125b4d · outbound
This paper cites Finitely generated saturated multi-Rees algebras.J.
The multiplicity sequence of monomial ideals Finitely generated saturated multi-Rees algebras.J
Reference 13
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- raw_fallback, observed 2026-08-16T01:14:14.909990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4de5d87b-3324-4cba-8075-cdb41db0a362 · outbound
This paper cites Springer-Verlag, New York, 1996.
The multiplicity sequence of monomial ideals Springer-Verlag, New York, 1996
Reference 14
- Resolution
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- raw_fallback, observed 2026-08-16T01:14:14.899205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2b75434c-f31e-413a-bc56-3fa89e7b699a · outbound
This paper cites A numerical characterization of reduction ideals.Math.
The multiplicity sequence of monomial ideals A numerical characterization of reduction ideals.Math
Reference 15
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- raw_fallback, observed 2026-08-16T01:14:14.889597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b3214193-628c-4f70-89e5-8d757ed3825f · outbound
This paper cites Segre numbers and hypersurface singularities.J.
The multiplicity sequence of monomial ideals Segre numbers and hypersurface singularities.J
Reference 16
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5d34b92d-005c-4fba-813e-e6294670ceb6 · outbound
This paper cites Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers.J.
The multiplicity sequence of monomial ideals Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers.J
Reference 17
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- raw_fallback, observed 2026-08-16T01:14:14.869785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 34e3b4d1-3796-4cac-b6c4-ed4a0e6414dc · outbound
This paper cites Grayson and Michael E.
The multiplicity sequence of monomial ideals Grayson and Michael E
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.858022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5ee47399-4309-48b1-9ed3-849434380d06 · outbound
This paper cites Cambridge University Press, Cambridge, 2006.
The multiplicity sequence of monomial ideals Cambridge University Press, Cambridge, 2006
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.847854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 497784ac-b0e6-4078-b845-6de859bd7c45 · outbound
This paper cites Thej-multiplicity of monomial ideals.Math.
The multiplicity sequence of monomial ideals Thej-multiplicity of monomial ideals.Math
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.836469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f11fe579-8e3a-4fa8-9399-3b19bbe0009b · outbound
This paper cites Multiplicities and Rees valuations.Collect.
The multiplicity sequence of monomial ideals Multiplicities and Rees valuations.Collect
Reference 21
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- raw_fallback, observed 2026-08-16T01:14:14.825004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e6619f23-301c-4c75-83cd-b7b329b95dab · outbound
This paper cites McMullen.
Reference 22
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- raw_fallback, observed 2026-08-16T01:14:14.813954Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cd7dd79f-3c2d-460f-ab67-4af72e241c62 · outbound
This paper cites Multiplicity sequence and integral depen- dence.Math.
The multiplicity sequence of monomial ideals Multiplicity sequence and integral depen- dence.Math
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.802186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 51b52ce8-9c27-433b-b4b6-6dc775458ee1 · outbound
This paper cites Rees.a-transforms of local rings and a theorem on multiplicities of ideals.Proc.
The multiplicity sequence of monomial ideals Rees.a-transforms of local rings and a theorem on multiplicities of ideals.Proc
Reference 24
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- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.789552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ec3545a-5c8b-4d9d-8bac-d0a981db5f73 · outbound
This paper cites Monˆ omes, volumes et multiplicit´ es.
The multiplicity sequence of monomial ideals Monˆ omes, volumes et multiplicit´ es
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T01:14:14.778473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 97fc5fc8-6be3-4d50-93d2-0f5e62f25742 · outbound
This paper cites an unresolved cited work.
The multiplicity sequence of monomial ideals Unresolved cited work
Reference 26
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- unresolved
- raw_fallback, observed 2026-08-16T01:14:14.767961Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 754cc95a-0a13-4add-9d9f-f283ddaaa67b · outbound
This paper cites Mixed multiplicities of ideals versus mixed volumes of polytopes.Trans.
The multiplicity sequence of monomial ideals Mixed multiplicities of ideals versus mixed volumes of polytopes.Trans
Reference 27
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- raw_fallback, observed 2026-08-16T01:14:14.757652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b8d7510b-df25-4459-9498-c70d46fd7669 · outbound
This paper cites On some multiplicity and mixed multiplicity formulas.Forum Math., 26(2):413–442, 2014.
The multiplicity sequence of monomial ideals On some multiplicity and mixed multiplicity formulas.Forum Math., 26(2):413–442, 2014
Reference 28
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- raw_fallback, observed 2026-08-16T01:14:14.746219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
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