Paper Citation Record · LEDGER

A Torres formula for twisted Reidemeister torsion

As of 22 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2412.00080.

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

pith.paper-citation-record.v1
2412.00080 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T12:03:24.714720Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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 fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 297646a1-d2a8-45be-a2fc-c14b6f8e1043 · outbound

This paper cites an unresolved cited work.

A Torres formula for twisted Reidemeister torsion Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:25.588544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ad19d3b6-7dcf-4195-a882-691379270d65 · outbound

This paper cites Studying the multivariable A lexander polynomial by means of S eifert surfaces.

A Torres formula for twisted Reidemeister torsion Studying the multivariable A lexander polynomial by means of S eifert surfaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.582621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b5241097-5fb3-47f9-9878-421668a3f0d6 · outbound

This paper cites Invariants of colored links and generalizations of the B urau representation.

A Torres formula for twisted Reidemeister torsion Invariants of colored links and generalizations of the B urau representation

Reference 3

Resolution: verified exact; doi, observed 2026-08-12T12:03:24.741463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8a9349fe-394b-4770-a875-7fdf9054983e · outbound

This paper cites Thurston norm, fibered manifolds and twisted alexander polynomials, 2006.

A Torres formula for twisted Reidemeister torsion Thurston norm, fibered manifolds and twisted alexander polynomials, 2006

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.571991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2cdcb58b-b414-4572-a91d-4cd8d4de8f2f · outbound

This paper cites A survey of the foundations of four-manifold theory in the topological category, 2024.

A Torres formula for twisted Reidemeister torsion A survey of the foundations of four-manifold theory in the topological category, 2024

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.548659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 096b2eda-6793-4779-9cc5-9202fb56c87f · outbound

This paper cites Floquetifying the Colour Code.

A Torres formula for twisted Reidemeister torsion Floquetifying the Colour Code

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T12:03:24.298756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4c8bf38-1ccd-4ab4-bd9e-f91afd41ea41 · outbound

This paper cites A survey of twisted A lexander polynomials.

A Torres formula for twisted Reidemeister torsion A survey of twisted A lexander polynomials

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.434011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation df745dea-0481-43c0-afc0-2aef54e8950e · outbound

This paper cites A survey of knot theory.

A Torres formula for twisted Reidemeister torsion A survey of knot theory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.285067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 008c2ec8-32a6-46b9-a84c-ebf085199d5d · outbound

This paper cites Twisted A lexander polynomial and R eidemeister torsion.

A Torres formula for twisted Reidemeister torsion Twisted A lexander polynomial and R eidemeister torsion

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.177403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a21352d-03d1-4892-978e-4772d9de0e75 · outbound

This paper cites Twisted A lexander invariants, R eidemeister torsion, and C asson- G ordon invariants.

A Torres formula for twisted Reidemeister torsion Twisted A lexander invariants, R eidemeister torsion, and C asson- G ordon invariants

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.129293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7cc73fe8-b872-44a6-a00a-d0cc2778d9a9 · outbound

This paper cites Representations of knot groups and twisted A lexander polynomials.

A Torres formula for twisted Reidemeister torsion Representations of knot groups and twisted A lexander polynomials

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.114959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bcf690d0-7491-4c7d-84d4-91c5e0427638 · outbound

This paper cites A T orres condition for twisted A lexander polynomials.

A Torres formula for twisted Reidemeister torsion A T orres condition for twisted A lexander polynomials

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.106169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2dc9353a-ef65-451b-b11a-729dd7d9b800 · outbound

This paper cites On the A lexander polynomial.

A Torres formula for twisted Reidemeister torsion On the A lexander polynomial

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:25.099503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 87b92a87-87cf-4ec0-9fdf-17f01ad059ee · outbound

This paper cites an unresolved cited work.

A Torres formula for twisted Reidemeister torsion Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T12:03:25.081257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c9ee4096-a932-4c85-afe4-165c8459686e · outbound

This paper cites u rich. Birkh\.

A Torres formula for twisted Reidemeister torsion u rich. Birkh\

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:24.963862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0437b17-7314-4f7c-97b1-d926e828317a · outbound

This paper cites Twisted A lexander polynomial for finitely presentable groups.

A Torres formula for twisted Reidemeister torsion Twisted A lexander polynomial for finitely presentable groups

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:03:24.797747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.