Pith Number

pith:S7THLDAM

pith:2004:S7THLDAMEM6SBGCCICKOSOGTLX

not attested not anchored not stored refs pending

On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree

Farruh Mukhamedov, Francesco Fidaleo

arxiv:math/0411196 v1 · 2004-11-09 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7THLDAMEM6SBGCCICKOSOGTLX}

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	2026-07-04T14:39:21.004729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e6758c0c233d2098424094e938d35dcfe53f3cba13e7982a1d708ffa1df845

Aliases

arxiv: math/0411196 · arxiv_version: math/0411196v1 · doi: 10.48550/arxiv.math/0411196 · pith_short_12: S7THLDAMEM6S · pith_short_16: S7THLDAMEM6SBGCC · pith_short_8: S7THLDAM

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/S7THLDAMEM6SBGCCICKOSOGTLX \
  | 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: 97e6758c0c233d2098424094e938d35dcfe53f3cba13e7982a1d708ffa1df845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41e62ba5a25d384413928accb4814fba5f56c52b95dcb7b32ad4a9a8cf2bd536",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-11-09T15:54:00Z",
    "title_canon_sha256": "8cbb321f2a0f623935f5fa2eb3be3eae2290da08ec2b7a2376f62df6fe5ca06e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411196",
    "kind": "arxiv",
    "version": 1
  }
}