Pith. sign in

Paper Citation Record · LEDGER

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

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation 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 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:53:41.075103Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T15:53:41.160855Z

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.156038Z digest=sha256:da3ccb122c7d67d80a7bb9d15a12f566f0e1cadc480d4a4a27cd137659357c7a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.205467Z digest=sha256:a9d6089c40ec51f3e3c98331d0ef039b7dadc190e2da8a78c804917fa282988c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.299126Z digest=sha256:e780c96debba6714022238eb0f0cf8d30efa3eed5037b7927769226519ed33f0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.374887Z digest=sha256:81483de4c69fdac4bd3c9fcdbc80c0e39dd5d31c5fe1b8822d9aee9a39f3222b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.448566Z digest=sha256:59ebece26fa548b1c6004441034529a8e0c5b807044003cd2eaa78ec71746bed

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.518189Z digest=sha256:e2c082d6504df23152473eeec65b2e9af2e1c48753de7948565b8cee624ca761

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.591511Z digest=sha256:a0fbed3a30911351f3d1e0c6f01700842a3e739b19b447b5d48ba27c7cf32865

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.679824Z digest=sha256:fb355c6bcec8688ed4766352b02dd631c00248e8d85b9e3882211e5a47440e9b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.758229Z digest=sha256:7b8f2c12e135b8ebff40f8fcbbf493db7fcf19a3425c5761eea6909a3d9de186

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.830153Z digest=sha256:a3e4b4f84d8f36f4a83a52d07147d30a0731c853afcecaee2f97bbba5717d9fc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:41.938178Z digest=sha256:9706003181f1ac215a90efcfb09a396a51b4637879d88cf413ed0e098b486696

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:42.015498Z digest=sha256:877c214954d8a3125c65d0c3b074d8bb7f9e24e64c50a87bee697053d1cfd1ef

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:42.092301Z digest=sha256:2b26a30c55d7e70ea0ef4ec991d0f0e08895e37932b04f49f7606034795e5d14

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:42.157223Z digest=sha256:a255c0ed4b26d2eb33b49488e96b69a60a65d0988589ba97b38814e2734da103

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T10:43:42.233068Z digest=sha256:3200d24c88fd9758045f36aa34ed0f5b3fb1b1baa825ac67f6ba4ceff8e9c173

Pith citing papers

Observation 8d30281e-c67a-43fe-9858-db59772d619c · inbound

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

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

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-08T15:53:41.198798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T15:53:41.075103Z digest=sha256:4e9dc1f689e90b89a28cf30de064102882aa11a9dfdd0d0d76720a8a63327265