Pith Number

pith:APF67G2Z

pith:2020:APF67G2ZKOXIHB6O2MI4DTBGOC

not attested not anchored not stored refs pending

2-Dimensional Categories

Donald Yau, Niles Johnson

arxiv:2002.06055 v3 · 2020-02-14 · math.CT · math.AG · math.AT · math.QA · 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{APF67G2ZKOXIHB6O2MI4DTBGOC}

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

3 papers in Pith

Braided cohomology of quasi-triangular bialgebras and braided Morita invariance

Adjusted connections on non-abelian bundle gerbes

Presenting Neural Networks via Coherent Functors

Receipt and verification

First computed	2026-07-05T01:11:12.399280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cbef9b5953ae8387ced311c1cc2670ba63e3aa28f806853490453f6f12a970

Aliases

arxiv: 2002.06055 · arxiv_version: 2002.06055v3 · doi: 10.48550/arxiv.2002.06055 · pith_short_12: APF67G2ZKOXI · pith_short_16: APF67G2ZKOXIHB6O · pith_short_8: APF67G2Z

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/APF67G2ZKOXIHB6O2MI4DTBGOC \
  | 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: 03cbef9b5953ae8387ced311c1cc2670ba63e3aa28f806853490453f6f12a970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2126613c8765a3a9219cb8edfb8bf5a01f39adaab5d24081c730540d9f7ce828",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-02-14T14:37:48Z",
    "title_canon_sha256": "2314846482d749b6896875dc143f42ed208a54d57a36dc5a37d144bb90bb1219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.06055",
    "kind": "arxiv",
    "version": 3
  }
}