Pith Number

pith:V42HV4YU

pith:2015:V42HV4YUTOET4CB2DFV3PEC2ZJ

not attested not anchored not stored refs pending

Relational reasoning via probabilistic coupling

Benjamin Gr\'egoire, Gilles Barthe, Justin Hsu, L\'eo Stefanesco, Pierre-Yves Strub, Thomas Espitau

arxiv:1509.03476 v2 · 2015-09-11 · cs.LO · 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{V42HV4YUTOET4CB2DFV3PEC2ZJ}

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	2026-05-18T00:21:00.223673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af347af3149b893e083a196bb7905aca64e084ff8a20c3a153ac577f63b773e7

Aliases

arxiv: 1509.03476 · arxiv_version: 1509.03476v2 · doi: 10.48550/arxiv.1509.03476 · pith_short_12: V42HV4YUTOET · pith_short_16: V42HV4YUTOET4CB2 · pith_short_8: V42HV4YU

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/V42HV4YUTOET4CB2DFV3PEC2ZJ \
  | 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: af347af3149b893e083a196bb7905aca64e084ff8a20c3a153ac577f63b773e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c131bf75d83411093f3bffa13987cd99778e399a2cc08a32641977e2e845ad",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-09-11T12:29:04Z",
    "title_canon_sha256": "0b03d4e5987d7888a59ca0c950d8d14d332579ec8f27ad4f5e4204abc2ebfcc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03476",
    "kind": "arxiv",
    "version": 2
  }
}