Pith Number

pith:BQFH7FHN

pith:2012:BQFH7FHNGD7SF7PNS4UUPFOANY

not attested not anchored not stored refs pending

A Factor-Graph Representation of Probabilities in Quantum Mechanics

Hans-Andrea Loeliger, Pascal O. Vontobel

arxiv:1201.5422 v2 · 2012-01-26 · cs.IT · math-ph · math.IT · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQFH7FHNGD7SF7PNS4UUPFOANY}

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	2026-05-18T00:59:09.934576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c0a7f94ed30ff22fded97294795c06e3ea7471c794eea8f56e67f4ac42da1f3

Aliases

arxiv: 1201.5422 · arxiv_version: 1201.5422v2 · doi: 10.48550/arxiv.1201.5422 · pith_short_12: BQFH7FHNGD7S · pith_short_16: BQFH7FHNGD7SF7PN · pith_short_8: BQFH7FHN

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/BQFH7FHNGD7SF7PNS4UUPFOANY \
  | 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: 0c0a7f94ed30ff22fded97294795c06e3ea7471c794eea8f56e67f4ac42da1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a464eb17bafc491b2eee9eab706c9fce5bbf7b93694d1885e98a457b8af40a",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-26T01:30:51Z",
    "title_canon_sha256": "f20f78425c5a9288a030b66764f3cbeea40d9532102ed945e9a8ad4f195b5a25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5422",
    "kind": "arxiv",
    "version": 2
  }
}