Pith Number

pith:7O3UN565

pith:2014:7O3UN565DEXHBELYPHRUP6IOBU

not attested not anchored not stored refs pending

Universality, optimality, and randomness deficiency

Paul Shafer, Rupert H\"olzl

arxiv:1409.8589 v2 · 2014-09-30 · 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{7O3UN565DEXHBELYPHRUP6IOBU}

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	2026-05-18T02:40:46.911128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbb746f7dd192e70917879e347f90e0d268e4e9ab0fee0db2cd4b98ce54cc5de

Aliases

arxiv: 1409.8589 · arxiv_version: 1409.8589v2 · doi: 10.48550/arxiv.1409.8589 · pith_short_12: 7O3UN565DEXH · pith_short_16: 7O3UN565DEXHBELY · pith_short_8: 7O3UN565

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/7O3UN565DEXHBELYPHRUP6IOBU \
  | 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: fbb746f7dd192e70917879e347f90e0d268e4e9ab0fee0db2cd4b98ce54cc5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6914661ee973797b4f12d9d2bcb67124c3bde669fc1fd9d742af7117faa75f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-09-30T15:18:08Z",
    "title_canon_sha256": "9c38e1a397adb5eccfc30c808f47932a014e0a90ff142feeba018447d7956e54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8589",
    "kind": "arxiv",
    "version": 2
  }
}