Pith Number

pith:FRCBJG5Y

pith:2016:FRCBJG5YMKMFVIIEAPEHLFZMTE

not attested not anchored not stored refs pending

The cocycle identity holds under stopping

Alexander C. R. Belton, Kalyan B. Sinha

arxiv:1606.07465 v1 · 2016-06-20 · math.OA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRCBJG5YMKMFVIIEAPEHLFZMTE}

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	2026-05-18T01:11:58.064671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c44149bb862985aa10403c875972c990eb38fcc9a4c3e3b0677ac374f4852b0

Aliases

arxiv: 1606.07465 · arxiv_version: 1606.07465v1 · doi: 10.48550/arxiv.1606.07465 · pith_short_12: FRCBJG5YMKMF · pith_short_16: FRCBJG5YMKMFVIIE · pith_short_8: FRCBJG5Y

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/FRCBJG5YMKMFVIIEAPEHLFZMTE \
  | 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: 2c44149bb862985aa10403c875972c990eb38fcc9a4c3e3b0677ac374f4852b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2753b069e1efe69a0bb7ae1ba4100203459ecf55738a60432efc5d702db31233",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-06-20T16:13:05Z",
    "title_canon_sha256": "9709be7b41b8c2aa473831872751fcf9defcb340b79438086211c362fb774950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07465",
    "kind": "arxiv",
    "version": 1
  }
}