Pith Number

pith:DJSNHKZY

pith:2019:DJSNHKZYVODG4MARR5EXQSLIQ2

not attested not anchored not stored refs pending

Quantum Markov States on Cayley trees

Abdessatar Souissi, Farrukh Mukhamedov

arxiv:1902.04156 v1 · 2019-02-08 · math-ph · math.FA · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJSNHKZYVODG4MARR5EXQSLIQ2}

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	2026-05-17T23:48:50.140244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a64d3ab38ab866e30118f4978496886b9359ae8d2c64858aaa77c5334c50793

Aliases

arxiv: 1902.04156 · arxiv_version: 1902.04156v1 · doi: 10.48550/arxiv.1902.04156 · pith_short_12: DJSNHKZYVODG · pith_short_16: DJSNHKZYVODG4MAR · pith_short_8: DJSNHKZY

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/DJSNHKZYVODG4MARR5EXQSLIQ2 \
  | 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: 1a64d3ab38ab866e30118f4978496886b9359ae8d2c64858aaa77c5334c50793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274238f52a8f0dd040c7b4ac9b6504a9140598ea985bfa1fda6603917e496e34",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-08T18:48:49Z",
    "title_canon_sha256": "c1f2275a14c4ce52358284a565e13c30a43093da1f8264a20ebd2da6ec1136cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04156",
    "kind": "arxiv",
    "version": 1
  }
}