Pith Number

pith:5ZF4GPES

pith:2015:5ZF4GPESZZE6URM5RQDVTJWG2T

not attested not anchored not stored refs pending

All or Nothing at All

Douglas R. Stinson, Navid Nasr Esfahani, Paolo D'Arco

arxiv:1510.03655 v2 · 2015-10-13 · math.CO · cs.CR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZF4GPESZZE6URM5RQDVTJWG2T}

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	2026-05-18T01:30:07.645663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4bc33c92ce49ea459d8c0759a6c6d4c6c4af8b0bdfda60761668543ca05081

Aliases

arxiv: 1510.03655 · arxiv_version: 1510.03655v2 · doi: 10.48550/arxiv.1510.03655 · pith_short_12: 5ZF4GPESZZE6 · pith_short_16: 5ZF4GPESZZE6URM5 · pith_short_8: 5ZF4GPES

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/5ZF4GPESZZE6URM5RQDVTJWG2T \
  | 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: ee4bc33c92ce49ea459d8c0759a6c6d4c6c4af8b0bdfda60761668543ca05081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4088dff72321cf9db4132d601dfd756b163724ca174269a0aa789f4819d69a43",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-13T13:03:50Z",
    "title_canon_sha256": "9bb73bb0380692e77a74544400212259d6e5db3a029d333015543ed83d0957fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03655",
    "kind": "arxiv",
    "version": 2
  }
}