Pith Number

pith:FNQQ2GYK

pith:2012:FNQQ2GYKI7DREGSDSSY6MAFJ6H

not attested not anchored not stored refs pending

Causal conditioning and instantaneous coupling in causality graphs

Olivier J. J. Michel, Pierre-Olivier Amblard

arxiv:1203.5572 v1 · 2012-03-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNQQ2GYKI7DREGSDSSY6MAFJ6H}

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	2026-05-18T03:59:14.746862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b610d1b0a47c7121a4394b1e600a9f1cc29cae11f7400499ed506286ffafd9d

Aliases

arxiv: 1203.5572 · arxiv_version: 1203.5572v1 · doi: 10.48550/arxiv.1203.5572 · pith_short_12: FNQQ2GYKI7DR · pith_short_16: FNQQ2GYKI7DREGSD · pith_short_8: FNQQ2GYK

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/FNQQ2GYKI7DREGSDSSY6MAFJ6H \
  | 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: 2b610d1b0a47c7121a4394b1e600a9f1cc29cae11f7400499ed506286ffafd9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e4ae3b4ff1966f32a19e3deb05ab3a878112416ccc6260b8399955cd6721a2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-26T03:28:45Z",
    "title_canon_sha256": "d6a3d1f91f7d9e3b67b44fe997271b9c82082b0a7800dcf42a44aa4bef46b656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5572",
    "kind": "arxiv",
    "version": 1
  }
}