Pith Number

pith:EIRZGHM3

pith:2016:EIRZGHM3XMVQQ3JMA5LRIBKPAB

not attested not anchored not stored refs pending

Periodic and Weakly Periodic Ground States for the $\lambda$-Model on Cayley Tree

Chin Hee Pah, Farrukh Mukhamedov, Hakim Jamil, Muzaffar Rahmatullaev

arxiv:1612.05940 v1 · 2016-12-18 · 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{EIRZGHM3XMVQQ3JMA5LRIBKPAB}

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	2026-05-18T00:26:01.560323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2223931d9bbb2b086d2c075714054f004d898f213782ac5ba94b66d99eea7121

Aliases

arxiv: 1612.05940 · arxiv_version: 1612.05940v1 · doi: 10.48550/arxiv.1612.05940 · pith_short_12: EIRZGHM3XMVQ · pith_short_16: EIRZGHM3XMVQQ3JM · pith_short_8: EIRZGHM3

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/EIRZGHM3XMVQQ3JMA5LRIBKPAB \
  | 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: 2223931d9bbb2b086d2c075714054f004d898f213782ac5ba94b66d99eea7121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9444f5bf27ae467a24d1fe10c505119f7c6e82ba3294e609f45d5db2c4a7565d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-18T16:23:20Z",
    "title_canon_sha256": "c9ca1ba1d95432c6bf65c92e5ec4e9ce8f76bb54df2793ede8850e0e7820f9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05940",
    "kind": "arxiv",
    "version": 1
  }
}