Pith Number

pith:YEZPB5CI

pith:2013:YEZPB5CISK43TSAZLRCTISEA2P

not attested not anchored not stored refs pending

From minimal embeddings to minimal diffusions

Alexander M.G. Cox, Martin Klimmek

arxiv:1306.2873 v2 · 2013-06-12 · 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{YEZPB5CISK43TSAZLRCTISEA2P}

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	2026-05-18T02:59:08.677516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c132f0f44892b9b9c8195c45344880d3d0a000422fa08c3451caa9a101e5daba

Aliases

arxiv: 1306.2873 · arxiv_version: 1306.2873v2 · doi: 10.48550/arxiv.1306.2873 · pith_short_12: YEZPB5CISK43 · pith_short_16: YEZPB5CISK43TSAZ · pith_short_8: YEZPB5CI

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/YEZPB5CISK43TSAZLRCTISEA2P \
  | 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: c132f0f44892b9b9c8195c45344880d3d0a000422fa08c3451caa9a101e5daba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba94d5a5daae63dd74ae4b1161eecf5f09cf3c52d898fad6895f9661fbc5843",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-12T15:58:40Z",
    "title_canon_sha256": "8592620d997f2cf4a8ef84963f8ce2034b4cfab2b98a75b7333a56baee28c8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2873",
    "kind": "arxiv",
    "version": 2
  }
}