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Paper Citation Record · LEDGER

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.04722.

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

pith.paper-citation-record.v1
2506.04722 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:43:42.233068Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

15 of 15 outbound references displayed

  • verified exact2
  • verified fuzzy5
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7c7429e2-3193-4926-8a00-dd38d2db9a55 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:44.898150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.156038Z digest=sha256:2d56de5fe187af44f36c22cb17432fea604c59a807e236f6fe7cfd3110a84ae1

Observation 7f782417-0622-4b40-b36f-3f624ce7d6fc · outbound

This paper cites Gorelik,Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number, J.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Gorelik,Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:44.703768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.205467Z digest=sha256:936b2c21f72aca60bebe5c7718b0a6110ea608040efdc9f813bebee01812cdfc

Observation 6c3e47cb-d9b3-4c32-bf87-dc800fb2e011 · outbound

This paper cites Gorelik and S.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Gorelik and S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:44.538605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.299126Z digest=sha256:ffd87dee8b4f51e5b898e66353e4a2a2c3e32e2ceb1eed9e289b253431a7b42f

Observation ccabd519-ef19-423b-8e0b-466d01756346 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:44.353005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.374887Z digest=sha256:c9ee1d620d252061e5fa757eb4451fff021ed0765795aff126503738e6bc2928

Observation 381161ac-92bf-4d52-a36a-28c322b80c5a · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:44.212784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.448566Z digest=sha256:a92f380f6e20cd42ed2b6db384e123043489aa25ca8e49227bfb2cb1cc986708

Observation 866f8947-5ee5-4d00-b545-d0991d0ad58e · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:44.041549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.518189Z digest=sha256:87b72280d2f2f4a9a47570a97739801b1588417970d0befabd40f13ee761d793

Observation 40c89fc0-10ff-4ea3-aac6-bcac4282329e · outbound

This paper cites Denominator identity for the affine Lie superalgebra $\widehat{\mathfrak{spo}}(2m,2m+1)$ and indefinite theta functions.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Denominator identity for the affine Lie superalgebra $\widehat{\mathfrak{spo}}(2m,2m+1)$ and indefinite theta functions

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:43:42.638217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.591511Z digest=sha256:86d50ca5dd02143f680d4c08b4aa81f84eb86fedc4f00acf5d4f28ff0fd63255

Observation 6f1f5653-b7b2-4704-b7d2-01846ecfbd50 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:43.855242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.679824Z digest=sha256:4f2520a23adf15437892bd9cd197517bd9ea06f5b275efd851cae5492844fb77

Observation a40bfb22-566e-4afa-a7b4-c75981f70c27 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:43.654340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.758229Z digest=sha256:f15d8ae3061b602b7b08a6e1f3b7fd86fc918898a45d3c39a36e1e1653e135f1

Observation 648a384f-92b5-428c-94a7-2bdf153f30a2 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:43.498597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.830153Z digest=sha256:b11ac4fdfad2f83a08357f37d2aaedbecaf5de71c7e051c1f2ae8617ebc414e3

Observation 5a2b990b-c02f-4eb6-bc36-871adcf55aa3 · outbound

This paper cites Roehrig and S.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Roehrig and S

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:43.311273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:41.938178Z digest=sha256:2bc2a93a0b8fd0c7f28b174446afc12701503f82397ac908de4cce66522f1a66

Observation 370f9995-0e9b-4434-a3eb-cfa85ae8f186 · outbound

This paper cites Theta Series for Quadratic Forms of Signature $(n-1,1)$ with (Spherical) Polynomials II.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Theta Series for Quadratic Forms of Signature $(n-1,1)$ with (Spherical) Polynomials II

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:43:42.482090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:42.015498Z digest=sha256:448de4110bbf51008d413819c93050d3e94dcf54c0504cfa2bf435e6ddeaf23d

Observation eef608a1-462f-49ab-a4f5-2fbd889fb0f4 · outbound

This paper cites Vign´ eras,S´ eries thˆ eta des formes quadratiques ind´ efinies, Modular functions in one variable vi, 1977, pp.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Vign´ eras,S´ eries thˆ eta des formes quadratiques ind´ efinies, Modular functions in one variable vi, 1977, pp

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:43.118295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:42.092301Z digest=sha256:ec513e7257b1cdb39b3a6728f28529f42f1f5aa4a843f2e1f489fe447b11c65e

Observation 5bc181c6-790e-410c-87df-171181fc79e6 · outbound

This paper cites Zagier,A proof of the Kac-Wakimoto affine denominator formula for the strange series, Math.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Zagier,A proof of the Kac-Wakimoto affine denominator formula for the strange series, Math

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:43:42.939663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:42.157223Z digest=sha256:d9ea7e2429ee8782ee8a169979a5ccdfbad7d256304e094acf471a889b15b80a

Observation f2bd3d64-c572-4b54-a489-4e5e6023ab70 · outbound

This paper cites an unresolved cited work.

Indefinite theta functions arising from affine Lie superalgebras and sums of triangular numbers Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:43:42.786217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:43:42.233068Z digest=sha256:2e08d261e757c7dafd9902383f7668b37f0550c7ed4be30bf3a2ca5c039c43c5

Pith citing papers

No inbound Pith citation observations are available.