Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:14:22.244748Z
Paper Citation Record · LEDGER
On the invariance of the string topology coproduct
As of 20 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:1908.03857.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-24T14:57:37.727465Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-24T14:59:36.333677Z
Reference resolution
23 of 23 outbound references displayed
- verified exact1
- verified fuzzy14
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3386cf70-8675-49a5-b7de-f474fad5259a · outbound
This paper cites On algebraic structures of the Hochschild complex.
On the invariance of the string topology coproduct On algebraic structures of the Hochschild complex
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.705174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 04e9aa8e-d33e-4618-ba33-6e02f21a4c92 · outbound
This paper cites The goresky-hingston product via higher hochschild homology.
On the invariance of the string topology coproduct The goresky-hingston product via higher hochschild homology
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.690550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 104481cc-203a-44bc-b09a-e817a502cfda · outbound
This paper cites an unresolved cited work.
On the invariance of the string topology coproduct Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:14:22.675037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 93194b23-b899-4d03-a74d-7155c8870702 · outbound
This paper cites Chas and D.
On the invariance of the string topology coproduct Chas and D
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:14:22.153160Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca668fce-a19f-4533-92ae-a0b3624f3382 · outbound
This paper cites Knot contact homology, string topology, and the cord algebra.
On the invariance of the string topology coproduct Knot contact homology, string topology, and the cord algebra
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.660572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4dcd6642-c5a3-477e-9691-f05ac912cadd · outbound
This paper cites Cohen and John D.
On the invariance of the string topology coproduct Cohen and John D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.641035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e19a8925-ec12-47d2-b69d-3d9b9580ec73 · outbound
This paper cites Cohen, John R.
On the invariance of the string topology coproduct Cohen, John R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.625441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5fea6a86-f66e-42ef-86d8-e026fb0ee23d · outbound
This paper cites an unresolved cited work.
On the invariance of the string topology coproduct Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:14:22.609578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4cf30776-afcc-4962-94b3-e9e7066cb329 · outbound
This paper cites Chain-Level String Topology Operations.
On the invariance of the string topology coproduct Chain-Level String Topology Operations
Reference 9
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T14:14:22.330934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 209c841c-3f57-4c73-b8bc-99cf88c39fbf · outbound
This paper cites Rational string topology.J.
On the invariance of the string topology coproduct Rational string topology.J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.594128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a8f8e389-eeb3-4aba-9861-d72b3d58fb3a · outbound
This paper cites Loop products and closed geodesics.
On the invariance of the string topology coproduct Loop products and closed geodesics
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.578277Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7e89d33b-438e-4849-8200-ef3b6ef7d1fe · outbound
This paper cites Generalized string topology operations.
On the invariance of the string topology coproduct Generalized string topology operations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.563099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 91101170-7b27-4a94-b89b-b6641cf69184 · outbound
This paper cites Loop products on connected sums of projective spaces.
On the invariance of the string topology coproduct Loop products on connected sums of projective spaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.546993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 697152b1-7c5a-4c1b-ab51-b4afce0aa078 · outbound
This paper cites Compactified string topology.
On the invariance of the string topology coproduct Compactified string topology
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.531880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e98fdc81-6ba2-4dac-8c70-05fd586b9cfd · outbound
This paper cites Product and coproduct in string topology.
On the invariance of the string topology coproduct Product and coproduct in string topology
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:14:22.204251Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8b1e34d-b48a-4a9f-ba53-91b82109f245 · outbound
This paper cites an unresolved cited work.
On the invariance of the string topology coproduct Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:14:22.513155Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a7bb8ba7-7f47-4edf-a026-f9f1180a470e · outbound
This paper cites an unresolved cited work.
On the invariance of the string topology coproduct Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:14:22.493177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3a8e0c91-8079-4dec-a3ce-8961d6b45192 · outbound
This paper cites Natural operations on the Hochschild complex of commutative Frobenius algebras via the complex of looped diagrams.
On the invariance of the string topology coproduct Natural operations on the Hochschild complex of commutative Frobenius algebras via the complex of looped diagrams
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:14:22.290787Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c399d0d0-772d-46e9-a2b3-aa70c6bbc705 · outbound
This paper cites String topology and configuration spaces of two points.
On the invariance of the string topology coproduct String topology and configuration spaces of two points
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.475300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ddf6189c-cdd3-4833-b2f3-ff1ccb95e042 · outbound
This paper cites Open and closed string field theory interpreted in classical algebraic topology.
On the invariance of the string topology coproduct Open and closed string field theory interpreted in classical algebraic topology
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.457122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fe711ed6-cdd6-479c-9157-8981a6d08f7a · outbound
This paper cites Loop coproducts in string topology and triviality of higher genus TQFT operations.
On the invariance of the string topology coproduct Loop coproducts in string topology and triviality of higher genus TQFT operations
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.440120Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3ae54bac-a952-4e4c-818a-531497cf060c · outbound
This paper cites an unresolved cited work.
On the invariance of the string topology coproduct Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:14:22.425024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 009f8f15-f980-410c-8a18-706d88f2d731 · outbound
This paper cites Hochschild homology of structured algebras.
On the invariance of the string topology coproduct Hochschild homology of structured algebras
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:14:22.408809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation d77948b3-898e-46a1-831a-332ab35caa6a · inbound
Poincar\'e duality for loop spaces cites this paper.
Poincar\'e duality for loop spaces On the invariance of the string topology coproduct
Reference 47
- Resolution
- verified exact
- arxiv_id, observed 2026-07-08T01:18:16.151788Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.