Pith Number

pith:KXDVIOUC

pith:2016:KXDVIOUCVXGZS43AHMNPOUDHSI

not attested not anchored not stored refs pending

Coupling proofs are probabilistic product programs

Benjamin Gr\'egoire, Gilles Barthe, Justin Hsu, Pierre-Yves Strub

arxiv:1607.03455 v5 · 2016-07-12 · cs.PL · cs.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{KXDVIOUCVXGZS43AHMNPOUDHSI}

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	2026-05-18T00:20:59.360346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c7543a82adcd9973603b1af7506792131e5e485fc3073fda9a4d9acdeb669b

Aliases

arxiv: 1607.03455 · arxiv_version: 1607.03455v5 · doi: 10.48550/arxiv.1607.03455 · pith_short_12: KXDVIOUCVXGZ · pith_short_16: KXDVIOUCVXGZS43A · pith_short_8: KXDVIOUC

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/KXDVIOUCVXGZS43AHMNPOUDHSI \
  | 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: 55c7543a82adcd9973603b1af7506792131e5e485fc3073fda9a4d9acdeb669b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d9898f9e98464de96d60a00791167981dfab91d3eea1bfddf3bebe49f6e3d5",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-07-12T18:19:22Z",
    "title_canon_sha256": "b1f328a6fa04d8a1e637f22901b5dec2a97b1a15fb9ef4e9458dc2925fcf5fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03455",
    "kind": "arxiv",
    "version": 5
  }
}