Pith Number

pith:T32QV7VU

pith:2025:T32QV7VUAKYVWCLLQQWXAHINQW

not attested not anchored not stored refs pending

How are pseudo-$q$-traces related to (co)ends?

Bin Gui, Hao Zhang

arxiv:2508.04532 v1 · 2025-08-06 · math.QA · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T32QV7VUAKYVWCLLQQWXAHINQW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

One-point functions for $C_2$-cofinite VOAs: pseudo-traces and trace spaces of projective modules

Receipt and verification

First computed	2026-07-05T11:49:39.055593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ef50afeb402b15b096b842d701d0d85bcf724d33bab6ba192cd7fc6a2471288

Aliases

arxiv: 2508.04532 · arxiv_version: 2508.04532v1 · doi: 10.48550/arxiv.2508.04532 · pith_short_12: T32QV7VUAKYV · pith_short_16: T32QV7VUAKYVWCLL · pith_short_8: T32QV7VU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T32QV7VUAKYVWCLLQQWXAHINQW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9ef50afeb402b15b096b842d701d0d85bcf724d33bab6ba192cd7fc6a2471288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3622740243d5d973f7616e9bd1d0c2087067a7a4ab054d2ab81e3c8327ec56b4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-08-06T15:13:48Z",
    "title_canon_sha256": "456697a9ddd9976bea8cfb85344fc3a22053fde2d814d0f31fd1d0a24fc4e413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04532",
    "kind": "arxiv",
    "version": 1
  }
}