Pith Number

pith:AVPQ3NIF

pith:2011:AVPQ3NIF7V4JLJHKAFKNLOFMU4

not attested not anchored not stored refs pending

Information causality from an entropic and a probabilistic perspective

Anthony J. Short, Sabri W. Al-Safi

arxiv:1107.4031 v2 · 2011-07-20 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVPQ3NIF7V4JLJHKAFKNLOFMU4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:23:46.943998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

055f0db505fd7895a4ea0154d5b8aca720eb99afd07fd2b69f59d77edab331de

Aliases

arxiv: 1107.4031 · arxiv_version: 1107.4031v2 · doi: 10.48550/arxiv.1107.4031 · pith_short_12: AVPQ3NIF7V4J · pith_short_16: AVPQ3NIF7V4JLJHK · pith_short_8: AVPQ3NIF

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/AVPQ3NIF7V4JLJHKAFKNLOFMU4 \
  | 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: 055f0db505fd7895a4ea0154d5b8aca720eb99afd07fd2b69f59d77edab331de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324134ab4b4d951d1f551902cbff3624f7bfc53cf41d07e5eac129d1d7907bc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-20T16:53:16Z",
    "title_canon_sha256": "18af2825e4407123f371b21ac21066d0ebcc69d7bc13ed2e3ac68f2263a36482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4031",
    "kind": "arxiv",
    "version": 2
  }
}