Pith Number

pith:3BR2X27L

pith:2025:3BR2X27LFRE37QF74TRKSMLS3U

not attested not anchored not stored refs pending

On the quotient of a groupoid by an action of a 2-group

Vladimir Drinfeld

arxiv:2504.21764 v2 · 2025-04-30 · math.CT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BR2X27LFRE37QF74TRKSMLS3U}

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	2026-07-05T11:35:13.397789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d863abebeb2c49bfc0bfe4e2a93172dd18edb33c8aab567a30158cd3b2d7dc3a

Aliases

arxiv: 2504.21764 · arxiv_version: 2504.21764v2 · doi: 10.48550/arxiv.2504.21764 · pith_short_12: 3BR2X27LFRE3 · pith_short_16: 3BR2X27LFRE37QF7 · pith_short_8: 3BR2X27L

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/3BR2X27LFRE37QF74TRKSMLS3U \
  | 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: d863abebeb2c49bfc0bfe4e2a93172dd18edb33c8aab567a30158cd3b2d7dc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96023f75d1864607c2bb54e91e8bc5a9db9558e5acc48f233fc77419dd18742d",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-04-30T16:02:59Z",
    "title_canon_sha256": "f8223bd471c8bd7a7f70d93599f4c5d6014f253038e9a0d9db7ae6a15fec29a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21764",
    "kind": "arxiv",
    "version": 2
  }
}