Pith Number

pith:DNDQTN6P

pith:2013:DNDQTN6PUAHBD7KNDIOOZ33WTL

not attested not anchored not stored refs pending

Size bias for one and all

Fred Kochman, Larry Goldstein, Richard Arratia

arxiv:1308.2729 v3 · 2013-08-13 · 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{DNDQTN6PUAHBD7KNDIOOZ33WTL}

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	2026-05-18T00:04:42.281938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4709b7cfa00e11fd4d1a1cecef769aedabb9a3662f7df5e9617f5c79f963da

Aliases

arxiv: 1308.2729 · arxiv_version: 1308.2729v3 · doi: 10.48550/arxiv.1308.2729 · pith_short_12: DNDQTN6PUAHB · pith_short_16: DNDQTN6PUAHBD7KN · pith_short_8: DNDQTN6P

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/DNDQTN6PUAHBD7KNDIOOZ33WTL \
  | 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: 1b4709b7cfa00e11fd4d1a1cecef769aedabb9a3662f7df5e9617f5c79f963da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56a9ce4f691752edc8876dcf134049b124c2c09d9e8c6726fa14fb95410796e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-13T00:56:40Z",
    "title_canon_sha256": "23c07a6ff7ed7d2b1414788ea6fabae8f76eefaa7a20789dfdc9fccfa011032b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2729",
    "kind": "arxiv",
    "version": 3
  }
}