Pith Number

pith:5V3N232B

pith:2013:5V3N232BWOKARHOAYRBPKHCSNI

not attested not anchored not stored refs pending

On completions, neat embeddings and omittings types, yet again

Tarek Sayed Ahmed

arxiv:1307.1016 v1 · 2013-07-02 · 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{5V3N232BWOKARHOAYRBPKHCSNI}

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	2026-05-18T03:19:23.167858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed76dd6f41b394089dc0c442f51c526a3564a8a7dad7f93140c6c5fab3553da6

Aliases

arxiv: 1307.1016 · arxiv_version: 1307.1016v1 · doi: 10.48550/arxiv.1307.1016 · pith_short_12: 5V3N232BWOKA · pith_short_16: 5V3N232BWOKARHOA · pith_short_8: 5V3N232B

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/5V3N232BWOKARHOAYRBPKHCSNI \
  | 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: ed76dd6f41b394089dc0c442f51c526a3564a8a7dad7f93140c6c5fab3553da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db36a628c8ecdd28092184bc4e6cce240982bde631017abc1cb2254ea9d7dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-02T17:08:59Z",
    "title_canon_sha256": "00d80829e634b80820b25bf5cf8fb4565d0a921d4fab909579e1e0136afd0c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1016",
    "kind": "arxiv",
    "version": 1
  }
}