Pith Number

pith:52HEIJOA

pith:2021:52HEIJOA7TMQ4X2CK5MV44NVLM

not attested not anchored not stored refs pending

On a necessary condition for unitary categorification of fusion rings

Dmitri Nikshych, Pavel Etingof, Victor Ostrik

arxiv:2102.13239 v2 · 2021-02-26 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52HEIJOA7TMQ4X2CK5MV44NVLM}

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

Alterfold Theory and Topological Modular Invariance

Receipt and verification

First computed	2026-07-05T07:08:26.973617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8e4425c0fcd90e5f4257595e71b55b08da6f9df385e48c8a8974a535c0b00e

Aliases

arxiv: 2102.13239 · arxiv_version: 2102.13239v2 · doi: 10.48550/arxiv.2102.13239 · pith_short_12: 52HEIJOA7TMQ · pith_short_16: 52HEIJOA7TMQ4X2C · pith_short_8: 52HEIJOA

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/52HEIJOA7TMQ4X2CK5MV44NVLM \
  | 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: ee8e4425c0fcd90e5f4257595e71b55b08da6f9df385e48c8a8974a535c0b00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a50b0f30c02eec3419d03b69dd57e7764188ef34300c1d7f5ec28a5c242e65f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-02-26T00:13:37Z",
    "title_canon_sha256": "319b199c335839f333699b574bd3b2b058b3357ff1931ac3142ed954a05ae24c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.13239",
    "kind": "arxiv",
    "version": 2
  }
}