Pith Number

pith:PPAIPNVZ

pith:2016:PPAIPNVZQJNGPU5LDZD6WYBVYD

not attested not anchored not stored refs pending

Classification of Rank 5 Premodular Categories

Carlos M. Ortiz, Paul Bruillard

arxiv:1612.08769 v2 · 2016-12-27 · 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{PPAIPNVZQJNGPU5LDZD6WYBVYD}

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.

Receipt and verification

First computed	2026-05-18T00:01:53.689972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc087b6b9825a67d3ab1e47eb6035c0c78d942125bdeb56caa75f63cf868ae4

Aliases

arxiv: 1612.08769 · arxiv_version: 1612.08769v2 · doi: 10.48550/arxiv.1612.08769 · pith_short_12: PPAIPNVZQJNG · pith_short_16: PPAIPNVZQJNGPU5L · pith_short_8: PPAIPNVZ

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/PPAIPNVZQJNGPU5LDZD6WYBVYD \
  | 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: 7bc087b6b9825a67d3ab1e47eb6035c0c78d942125bdeb56caa75f63cf868ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e625c7e5934aeec64964c58461887a3bbf4b4b2f970795ec99e70be970f43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-12-27T22:55:54Z",
    "title_canon_sha256": "dc871ddf3a529b2d3b9395b911802b252c28d679f88009d354bfd5e04c83b86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08769",
    "kind": "arxiv",
    "version": 2
  }
}