Pith Number

pith:N4ZOREV7

pith:2014:N4ZOREV7V3NRGLJIJ2H5Y426AA

not attested not anchored not stored refs pending

Developments in Formal Proofs

Thomas C. Hales

arxiv:1408.6474 v1 · 2014-08-24 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4ZOREV7V3NRGLJIJ2H5Y426AA}

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	2026-05-18T02:44:07.456198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f32e892bfaedb132d284e8fdc735e0009afcc16a13b7ae581574a93136f1e8b

Aliases

arxiv: 1408.6474 · arxiv_version: 1408.6474v1 · doi: 10.48550/arxiv.1408.6474 · pith_short_12: N4ZOREV7V3NR · pith_short_16: N4ZOREV7V3NRGLJI · pith_short_8: N4ZOREV7

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/N4ZOREV7V3NRGLJIJ2H5Y426AA \
  | 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: 6f32e892bfaedb132d284e8fdc735e0009afcc16a13b7ae581574a93136f1e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e92f177ea55c877f21775783b87ab0102e0be47c67c2327ef341e516097aeb",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-08-24T15:21:16Z",
    "title_canon_sha256": "a720b7e285a5f1637e25ed17ed9952b4949d9373a5d6f016ef359e2b0d666212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6474",
    "kind": "arxiv",
    "version": 1
  }
}