Pith Number

pith:3D3CJOPJ

pith:2016:3D3CJOPJYIRQJBG3G7W2KZPJYR

not attested not anchored not stored refs pending

Construction of a new class of quantum Markov fields

Abdessatar Souissi, Farrukh Mukhamedov, Luigi Accardi

arxiv:1612.05549 v1 · 2016-12-16 · math.OA · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D3CJOPJYIRQJBG3G7W2KZPJYR}

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	2026-05-18T00:36:47.729062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f624b9e9c2230484db37eda565e9c46857f213599bca0aa8c89ea5930eb2fc

Aliases

arxiv: 1612.05549 · arxiv_version: 1612.05549v1 · doi: 10.48550/arxiv.1612.05549 · pith_short_12: 3D3CJOPJYIRQ · pith_short_16: 3D3CJOPJYIRQJBG3 · pith_short_8: 3D3CJOPJ

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/3D3CJOPJYIRQJBG3G7W2KZPJYR \
  | 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: d8f624b9e9c2230484db37eda565e9c46857f213599bca0aa8c89ea5930eb2fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49811060942ecdbf7f54b255d604b6ffaffff7409d8f096a8d7b2124da8af530",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-16T16:47:22Z",
    "title_canon_sha256": "62e5d9b6b3a088c5e9a3a72f629a5088d36bbc5006b0b34999e109517eed59a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05549",
    "kind": "arxiv",
    "version": 1
  }
}