Pith Number

pith:5X5TUG53

pith:2016:5X5TUG537BINC4TFXHOVH6UVYP

not attested not anchored not stored refs pending

Synthesizing Probabilistic Invariants via Doob's Decomposition

Gilles Barthe, Justin Hsu, Luis Mar\'ia Ferrer Fioriti, Thomas Espitau

arxiv:1605.02765 v1 · 2016-05-09 · cs.PL · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5X5TUG537BINC4TFXHOVH6UVYP}

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	2026-05-18T00:20:59.517188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfb3a1bbbf850d17265b9dd53fa95c3ecf9fb0a2da6921b77e47de4faf13f16

Aliases

arxiv: 1605.02765 · arxiv_version: 1605.02765v1 · doi: 10.48550/arxiv.1605.02765 · pith_short_12: 5X5TUG537BIN · pith_short_16: 5X5TUG537BINC4TF · pith_short_8: 5X5TUG53

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/5X5TUG537BINC4TFXHOVH6UVYP \
  | 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: edfb3a1bbbf850d17265b9dd53fa95c3ecf9fb0a2da6921b77e47de4faf13f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce85e243dd789b2aa3a99cbd545dca45fdd31a6c24fc440004ebd74a20502ff",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-05-09T20:30:20Z",
    "title_canon_sha256": "4e8b9c4346f38fea1a2cfd35bea1a0320e9aafef9c88ed54f596c0dcdb4d866f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02765",
    "kind": "arxiv",
    "version": 1
  }
}