Pith Number

pith:AQG2UOLL

pith:2012:AQG2UOLLMMY74YQF3VAECVMUW7

not attested not anchored not stored refs pending

Moderate deviations on different scales: no relations

Boris Tsirelson

arxiv:1207.4865 v1 · 2012-07-20 · 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{AQG2UOLLMMY74YQF3VAECVMUW7}

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	2026-05-18T03:50:34.879036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040daa396b6331fe6205dd40415594b7f17852a913ac3df5fb6e23e968e42106

Aliases

arxiv: 1207.4865 · arxiv_version: 1207.4865v1 · doi: 10.48550/arxiv.1207.4865 · pith_short_12: AQG2UOLLMMY7 · pith_short_16: AQG2UOLLMMY74YQF · pith_short_8: AQG2UOLL

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/AQG2UOLLMMY74YQF3VAECVMUW7 \
  | 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: 040daa396b6331fe6205dd40415594b7f17852a913ac3df5fb6e23e968e42106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb0882c63bca9a94af0c99f6dd01bba38227f86fdd1d0c62914d0ad5f64ad82d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-20T07:26:14Z",
    "title_canon_sha256": "cfcc8b3f804a2e0ed7b47f24abd2d212b2944b204f3e106ae4a4e9532b6ab13d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4865",
    "kind": "arxiv",
    "version": 1
  }
}