Pith Number

pith:IUNUWN36

pith:2017:IUNUWN36YQ4B77LPBGOUUPQD5R

not attested not anchored not stored refs pending

Equivalences of Graded Categories

Cain Edie-Michell

arxiv:1711.00645 v2 · 2017-11-02 · 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{IUNUWN36YQ4B77LPBGOUUPQD5R}

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	2026-05-17T23:58:19.564706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451b4b377ec4381ffd6f099d4a3e03ec752c3582bdd34e0676837e692fc351f0

Aliases

arxiv: 1711.00645 · arxiv_version: 1711.00645v2 · doi: 10.48550/arxiv.1711.00645 · pith_short_12: IUNUWN36YQ4B · pith_short_16: IUNUWN36YQ4B77LP · pith_short_8: IUNUWN36

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/IUNUWN36YQ4B77LPBGOUUPQD5R \
  | 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: 451b4b377ec4381ffd6f099d4a3e03ec752c3582bdd34e0676837e692fc351f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eac3b682feadc7b12e9c106895755342e6a3bf0dca26dbe062a979798c617c1",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-11-02T08:17:28Z",
    "title_canon_sha256": "4b41210c080e9ed6eaccf8267752fa5e341473f131a24025637d26de43bb84e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00645",
    "kind": "arxiv",
    "version": 2
  }
}