Paper Citation Record · LEDGER

Formal Languages and TQFTs with Defects

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2412.09688.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.09688 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:58:43.604783Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact4
verified fuzzy10
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34e3802b-8229-425f-aa31-10d6cb314820 · outbound

This paper cites an unresolved cited work.

Formal Languages and TQFTs with Defects Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:58:44.730208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6031d745-b9a3-47e4-8bbe-acfe19af3e63 · outbound

This paper cites Lecture notes on 2-dimensional defect TQFT.

Formal Languages and TQFTs with Defects Lecture notes on 2-dimensional defect TQFT

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:43.306031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation adf2e9eb-c248-4d53-b239-4a5b3b17024d · outbound

This paper cites an unresolved cited work.

Formal Languages and TQFTs with Defects Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:58:44.709053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0fcb835f-8cf2-4a58-a634-10f1d94a3e6c · outbound

This paper cites Chomsky, On certain formal properties of grammars , Information and Control, 2 (1959) 137–167.

Formal Languages and TQFTs with Defects Chomsky, On certain formal properties of grammars , Information and Control, 2 (1959) 137–167

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.689011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6819ff1d-5c90-4ce9-aa43-e898aed1b6ec · outbound

This paper cites Computer program- ming and formal systems.

Formal Languages and TQFTs with Defects Computer program- ming and formal systems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.566931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cd9cc80f-cead-4452-8a94-b16a1bb02b31 · outbound

This paper cites Connes, D.

Formal Languages and TQFTs with Defects Connes, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.478713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 67aad81a-d341-442b-8869-9c9732c5e228 · outbound

This paper cites Formal languages, spin systems, and quasicrystals.

Formal Languages and TQFTs with Defects Formal languages, spin systems, and quasicrystals

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:58:43.935939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4099b1e-e461-4c2b-8b52-271797472f36 · outbound

This paper cites Algebra and Coalgebra in Computer Science.

Formal Languages and TQFTs with Defects Algebra and Coalgebra in Computer Science

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.460584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 78b923f6-e363-49d8-b83e-df00ec9975f5 · outbound

This paper cites Goodman, Semiring parsing, Computational Linguistics, Vol.25 (1999) N.4, 573–605.

Formal Languages and TQFTs with Defects Goodman, Semiring parsing, Computational Linguistics, Vol.25 (1999) N.4, 573–605

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.402946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 92c90176-25a3-404d-b73a-235e4f62441b · outbound

This paper cites Automata and one-dimensional TQFTs with defects.

Formal Languages and TQFTs with Defects Automata and one-dimensional TQFTs with defects

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:58:43.912281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6658c866-00b6-4df6-8d90-28f2cd168294 · outbound

This paper cites Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words.

Formal Languages and TQFTs with Defects Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:58:43.829380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 94d386a9-2e82-4a79-aae3-ade2ac45e81d · outbound

This paper cites Topological theories and automata.

Formal Languages and TQFTs with Defects Topological theories and automata

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:43.366282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a582bb79-5acb-41b6-a9b9-8c751e204c8a · outbound

This paper cites From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions.

Formal Languages and TQFTs with Defects From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:43.372327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c50418a2-6039-492b-b575-32cafde4a4cc · outbound

This paper cites J¨ ager, J.

Formal Languages and TQFTs with Defects J¨ ager, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.258919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5ad95ca3-4b6e-466f-a648-cc10b1d8a835 · outbound

This paper cites Kambites, Formal languages and groups as memory , arXiv:math/060161.

Formal Languages and TQFTs with Defects Kambites, Formal languages and groups as memory , arXiv:math/060161

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.238390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ebb14647-abd9-4ed9-88e9-17b721ce61b6 · outbound

This paper cites Parsing as a lifting problem and the Chomsky-Sch\"utzenberger representation theorem.

Formal Languages and TQFTs with Defects Parsing as a lifting problem and the Chomsky-Sch\"utzenberger representation theorem

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T16:58:43.703944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f54da39-0b65-47ff-9330-bea2aca37dcf · outbound

This paper cites The categorical contours of the Chomsky-Sch\"utzenberger representation theorem.

Formal Languages and TQFTs with Defects The categorical contours of the Chomsky-Sch\"utzenberger representation theorem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:43.465134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c2ed1b5-dd81-4b45-bce7-fbe11dbdd417 · outbound

This paper cites Tensor Product Representations of Subregular Formal Languages.

Formal Languages and TQFTs with Defects Tensor Product Representations of Subregular Formal Languages

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:58:43.652239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 49137a6e-a3f4-4746-830f-0e6761b63bb9 · outbound

This paper cites Rogers, Syntactic structures as multi-dimensional trees , Research on Language and Computation 1(3–4), 265–305 (2003).

Formal Languages and TQFTs with Defects Rogers, Syntactic structures as multi-dimensional trees , Research on Language and Computation 1(3–4), 265–305 (2003)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.220509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 36630092-a451-4da2-a478-e32c1b1ae40c · outbound

This paper cites Spivak, P.

Formal Languages and TQFTs with Defects Spivak, P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:44.092831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 399bcb12-8e5a-4f51-938b-7f5b721905c6 · outbound

This paper cites Takahashi, Extensions of Semimodules I , Math.

Formal Languages and TQFTs with Defects Takahashi, Extensions of Semimodules I , Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:58:43.973164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.