Pith Number

pith:VFD5TOVN

pith:2005:VFD5TOVNC2E3Q7NVIG547SVSKD

not attested not anchored not stored refs pending

Frobenius-Schur Indicators and Exponents of Spherical Categories

Peter Schauenburg, Siu-Hung Ng

arxiv:math/0601012 v3 · 2005-12-31 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFD5TOVNC2E3Q7NVIG547SVSKD}

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

Updating the holomorphic modular bootstrap

Receipt and verification

First computed	2026-07-04T15:00:01.975156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a947d9baad1689b87db541bbcfcab250c0fd0f66db9cfde0e67e61726c1d1bc5

Aliases

arxiv: math/0601012 · arxiv_version: math/0601012v3 · doi: 10.48550/arxiv.math/0601012 · pith_short_12: VFD5TOVNC2E3 · pith_short_16: VFD5TOVNC2E3Q7NV · pith_short_8: VFD5TOVN

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/VFD5TOVNC2E3Q7NVIG547SVSKD \
  | 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: a947d9baad1689b87db541bbcfcab250c0fd0f66db9cfde0e67e61726c1d1bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66b65336fd4f7b22a892f39265d7db80fcfee716b9785fcb5ae088e586fffc76",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-12-31T19:40:21Z",
    "title_canon_sha256": "30341997218f45119ae478f9272a48b4e0be483d6025d460a931d7eadb432406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601012",
    "kind": "arxiv",
    "version": 3
  }
}