Pith Number

pith:4APOQR4O

pith:2013:4APOQR4OVL46O5BRYIZZGCWAUD

not attested not anchored not stored refs pending

Abstract interpretation as anti-refinement

Arnaud Spiwack

arxiv:1310.4283 v2 · 2013-10-16 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4APOQR4OVL46O5BRYIZZGCWAUD}

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	2026-05-18T02:49:47.130073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e01ee8478eaaf9e77431c233930ac0a0cf8a3e9ec78a577f02dd7a8a8ce20d9b

Aliases

arxiv: 1310.4283 · arxiv_version: 1310.4283v2 · doi: 10.48550/arxiv.1310.4283 · pith_short_12: 4APOQR4OVL46 · pith_short_16: 4APOQR4OVL46O5BR · pith_short_8: 4APOQR4O

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/4APOQR4OVL46O5BRYIZZGCWAUD \
  | 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: e01ee8478eaaf9e77431c233930ac0a0cf8a3e9ec78a577f02dd7a8a8ce20d9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f137a2e043f0808c0d91570d2ba6ecc5db660c1fd1f3313e62f3f974af6aef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2013-10-16T07:16:49Z",
    "title_canon_sha256": "78421afe78cc272119426048be4fc64f3021125fedf297a2c4702a01c4143037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4283",
    "kind": "arxiv",
    "version": 2
  }
}