Paper Citation Record · LEDGER

Nesting behind $\hat{Z}$-invariants

As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.13996.

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

pith.paper-citation-record.v1
2507.13996 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:19:10.715826Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

16 of 16 outbound references displayed

verified exact1
verified fuzzy8
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 498faf23-36c8-4dd7-b7aa-a309348417b0 · outbound

This paper cites Arakawa, E.

Nesting behind $\hat{Z}$-invariants Arakawa, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:15.355633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 866f31df-c1b9-4559-b27d-4f3e7131dfc6 · outbound

This paper cites Creutzig, S.

Nesting behind $\hat{Z}$-invariants Creutzig, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:14.995122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bef0fac2-9a26-4597-b431-bba376676d91 · outbound

This paper cites an unresolved cited work.

Nesting behind $\hat{Z}$-invariants Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:14.524763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9c9449ab-9bb3-4fd7-bd2b-23f841abb8c3 · outbound

This paper cites an unresolved cited work.

Nesting behind $\hat{Z}$-invariants Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:14.101161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b3c1c25e-e6bf-4777-acc0-9582f1f7c573 · outbound

This paper cites Going to the Other Side via the Resurgent Bridge.

Nesting behind $\hat{Z}$-invariants Going to the Other Side via the Resurgent Bridge

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:09.070731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81124f10-8518-4899-86ed-c985402f260c · outbound

This paper cites Logarithmic CFTs connected with simple Lie algebras.

Nesting behind $\hat{Z}$-invariants Logarithmic CFTs connected with simple Lie algebras

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:09.205559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea6a55e6-857e-463d-a195-19a9ae6fdc97 · outbound

This paper cites Gukov and C.

Nesting behind $\hat{Z}$-invariants Gukov and C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:13.711064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a0497b7f-314a-49f1-8c57-3b34a73674db · outbound

This paper cites Gukov, D.

Nesting behind $\hat{Z}$-invariants Gukov, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:13.315420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c03976c7-b72d-4795-bf71-228f399cecdd · outbound

This paper cites A Lie algebraic pattern behind logarithmic CFTs.

Nesting behind $\hat{Z}$-invariants A Lie algebraic pattern behind logarithmic CFTs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:09.590168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3fd030b-4042-49e1-8ac1-fca69085a48b · outbound

This paper cites Murakami.

Nesting behind $\hat{Z}$-invariants Murakami

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:12.994976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 80a823b8-f8df-4686-9e25-f23bf23e2fdc · outbound

This paper cites Murakami.

Nesting behind $\hat{Z}$-invariants Murakami

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:12.615808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bd06335e-36a4-40b7-bcd9-ce57417ba2d8 · outbound

This paper cites Sugimoto.

Nesting behind $\hat{Z}$-invariants Sugimoto

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:12.198175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 429a6848-bf5c-4e07-8bb6-b582c348cae8 · outbound

This paper cites Sugimoto.

Nesting behind $\hat{Z}$-invariants Sugimoto

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:11.807517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 92e082a6-fa39-4feb-8305-877181894420 · outbound

This paper cites Atiyah-Bott formula and homological block of Seifert fibered homology $3$-spheres.

Nesting behind $\hat{Z}$-invariants Atiyah-Bott formula and homological block of Seifert fibered homology $3$-spheres

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:10.320077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c9be093-d8c7-4696-9bd4-d65c62d6a673 · outbound

This paper cites Hypercubic structures behind $\hat{Z}$-invariants.

Nesting behind $\hat{Z}$-invariants Hypercubic structures behind $\hat{Z}$-invariants

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:19:11.041170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 04135c4a-c6cf-4bda-869d-6ec8cbf70540 · outbound

This paper cites an unresolved cited work.

Nesting behind $\hat{Z}$-invariants Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:11.362652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.