Pith Number

pith:OCZ7AQOY

pith:2012:OCZ7AQOYVYAYD4R4JBECCXNECU

not attested not anchored not stored refs pending

The averaging principle

Arieh Gavious, Eilon Solan, Gadi Fibich

arxiv:1204.0321 v3 · 2012-04-02 · 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{OCZ7AQOYVYAYD4R4JBECCXNECU}

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	2026-05-18T03:58:36.527828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b3f041d8ae0181f23c4848215da4151c0308e31f8cd10e31293ff061bbdc71

Aliases

arxiv: 1204.0321 · arxiv_version: 1204.0321v3 · doi: 10.48550/arxiv.1204.0321 · pith_short_12: OCZ7AQOYVYAY · pith_short_16: OCZ7AQOYVYAYD4R4 · pith_short_8: OCZ7AQOY

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/OCZ7AQOYVYAYD4R4JBECCXNECU \
  | 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: 70b3f041d8ae0181f23c4848215da4151c0308e31f8cd10e31293ff061bbdc71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f173ec520264f3986733d669a81a2797e7d217d31a784413dfb50310040d6f92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-02T06:42:50Z",
    "title_canon_sha256": "8adf083ce9b34e6e4eb7247f5d86d48674b2786ed3de744f90fff0a25de3b091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0321",
    "kind": "arxiv",
    "version": 3
  }
}