Pith Number

pith:FYFTDWWJ

pith:2012:FYFTDWWJZ723QYTREFK5BMPVHH

not attested not anchored not stored refs pending

A theorem with constructive and non-constructive proofs

Jaime Gaspar

arxiv:1211.0442 v2 · 2012-11-02 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYFTDWWJZ723QYTREFK5BMPVHH}

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	2026-05-18T03:38:13.783648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0b31dac9cff5b862712155d0b1f539cb8f7a3dbbcf8304589f03e5e437059e

Aliases

arxiv: 1211.0442 · arxiv_version: 1211.0442v2 · doi: 10.48550/arxiv.1211.0442 · pith_short_12: FYFTDWWJZ723 · pith_short_16: FYFTDWWJZ723QYTR · pith_short_8: FYFTDWWJ

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/FYFTDWWJZ723QYTREFK5BMPVHH \
  | 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: 2e0b31dac9cff5b862712155d0b1f539cb8f7a3dbbcf8304589f03e5e437059e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "197381ae62ea323637f3577cb2ed7d36309232d04947b6a47cd975821f662278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-11-02T12:51:41Z",
    "title_canon_sha256": "ced280f85f06b78ffcad44cc3ceff7dc66a4b358283d27e67ed93a796946bd38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0442",
    "kind": "arxiv",
    "version": 2
  }
}