Pith Number

pith:OFZR3A36

pith:2016:OFZR3A36322VR66QA3YQBBUI2J

not attested not anchored not stored refs pending

On Ground States and Phase Transitions of $\lambda$-Model on the Cayley Tree

Chin Hee Pah, Farrukh Mukhamedov, Hakim Jamil

arxiv:1610.07019 v1 · 2016-10-22 · math-ph · cond-mat.stat-mech · 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{OFZR3A36322VR66QA3YQBBUI2J}

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	2026-05-18T00:38:09.263437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71731d837edeb558fbd006f1008688d25fe3ac7c5ecf92af18e6cfc411214237

Aliases

arxiv: 1610.07019 · arxiv_version: 1610.07019v1 · doi: 10.48550/arxiv.1610.07019 · pith_short_12: OFZR3A36322V · pith_short_16: OFZR3A36322VR66Q · pith_short_8: OFZR3A36

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/OFZR3A36322VR66QA3YQBBUI2J \
  | 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: 71731d837edeb558fbd006f1008688d25fe3ac7c5ecf92af18e6cfc411214237

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8b890cd133ff284a9666527546899730009383131ae6ffa33596ed6c5ce7c7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-22T09:04:47Z",
    "title_canon_sha256": "91da567edfc974016ba13d65605ec959272b48d0f74cb03674f096557a0b42bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07019",
    "kind": "arxiv",
    "version": 1
  }
}