Pith Number

pith:2PGFOAPS

pith:2015:2PGFOAPSJTQRKAXODWV4SZK77P

not attested not anchored not stored refs pending

Holographic Transformation, Belief Propagation and Loop Calculus for Generalized Probabilistic Theories

Ryuhei Mori

arxiv:1501.04183 v2 · 2015-01-17 · cs.IT · cond-mat.stat-mech · math.IT · 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{2PGFOAPSJTQRKAXODWV4SZK77P}

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	2026-05-18T02:17:51.405450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cc5701f24ce11502ee1dabc9655ffbcd8cd566c8cfa465fbec6233b2b7f60a

Aliases

arxiv: 1501.04183 · arxiv_version: 1501.04183v2 · doi: 10.48550/arxiv.1501.04183 · pith_short_12: 2PGFOAPSJTQR · pith_short_16: 2PGFOAPSJTQRKAXO · pith_short_8: 2PGFOAPS

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/2PGFOAPSJTQRKAXODWV4SZK77P \
  | 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: d3cc5701f24ce11502ee1dabc9655ffbcd8cd566c8cfa465fbec6233b2b7f60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "498e397c08345eb29af26c0c3bab11620a06a0938f2435565a99c99561589e2f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-17T09:50:25Z",
    "title_canon_sha256": "8b57304f0e7acf48f0f67569d994ae900fc67c515c2ecb0e30c9e2e37a2801f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04183",
    "kind": "arxiv",
    "version": 2
  }
}