Pith Number

pith:5BETBCWO

pith:2016:5BETBCWOWLZM2JYERRDBCREL3O

not attested not anchored not stored refs pending

Cubical $(\omega,p)$-categories

Maxime Lucas

arxiv:1612.07050 v2 · 2016-12-21 · 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{5BETBCWOWLZM2JYERRDBCREL3O}

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	2026-05-18T00:27:36.433830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e849308aceb2f2cd27048c4611448bdb89a4d003d9de6b8b9fa5ab5f4f6ca9db

Aliases

arxiv: 1612.07050 · arxiv_version: 1612.07050v2 · doi: 10.48550/arxiv.1612.07050 · pith_short_12: 5BETBCWOWLZM · pith_short_16: 5BETBCWOWLZM2JYE · pith_short_8: 5BETBCWO

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/5BETBCWOWLZM2JYERRDBCREL3O \
  | 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: e849308aceb2f2cd27048c4611448bdb89a4d003d9de6b8b9fa5ab5f4f6ca9db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6acf8595d9ba999536a98896c209ce3db6ec87b9fd35c4e427ad9ee468a9d1da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-12-21T10:44:49Z",
    "title_canon_sha256": "384520594f46c04f4ae91282251b242ae6b5b973189cb9915f432d0a97be6833"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07050",
    "kind": "arxiv",
    "version": 2
  }
}