Pith Number

pith:DY3ODGGF

pith:2015:DY3ODGGFAUG7JAN7XN6QT7JPA6

not attested not anchored not stored refs pending

Factor Graphs for Quantum Probabilities

Hans-Andrea Loeliger, Pascal O. Vontobel

arxiv:1508.00689 v3 · 2015-08-04 · cs.IT · cs.AI · math.IT · math.ST · quant-ph · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY3ODGGFAUG7JAN7XN6QT7JPA6}

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	2026-05-18T00:42:39.760814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e36e198c5050df481bfbb7d09fd2f0793ef55f72eee4ae97685dbcfbec2ad57

Aliases

arxiv: 1508.00689 · arxiv_version: 1508.00689v3 · doi: 10.48550/arxiv.1508.00689 · pith_short_12: DY3ODGGFAUG7 · pith_short_16: DY3ODGGFAUG7JAN7 · pith_short_8: DY3ODGGF

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/DY3ODGGFAUG7JAN7XN6QT7JPA6 \
  | 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: 1e36e198c5050df481bfbb7d09fd2f0793ef55f72eee4ae97685dbcfbec2ad57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc0862b21879b8d3eb275567a6f57b650911e53ffde199a5f795a85f100301cf",
    "cross_cats_sorted": [
      "cs.AI",
      "math.IT",
      "math.ST",
      "quant-ph",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-08-04T07:38:51Z",
    "title_canon_sha256": "5f3a9e30b1e7530a130d9a8063bbe750374a10b4ccaa8de084d0c1e098b93440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00689",
    "kind": "arxiv",
    "version": 3
  }
}