pith. sign in
Pith Number

pith:P4XVAHFQ

pith:2015:P4XVAHFQO47JVOGJGPH7MAPMBG
not attested not anchored not stored refs pending

A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results

Jozef Strecka, Michal Jascur

arxiv:1511.03031 v2 · 2015-11-10 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P4XVAHFQO47JVOGJGPH7MAPMBG}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T01:27:14.762296Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f2f501cb0773e9ab8c933cff601ec09ac77bd226335abacb03f541ba1b18103

Aliases

arxiv: 1511.03031 · arxiv_version: 1511.03031v2 · doi: 10.48550/arxiv.1511.03031 · pith_short_12: P4XVAHFQO47J · pith_short_16: P4XVAHFQO47JVOGJ · pith_short_8: P4XVAHFQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P4XVAHFQO47JVOGJGPH7MAPMBG \
  | 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: 7f2f501cb0773e9ab8c933cff601ec09ac77bd226335abacb03f541ba1b18103
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "928cc547e95304aa1f554b42857a5ee4df24948eb4e5c332d9d972d5b571d744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-10T09:27:55Z",
    "title_canon_sha256": "9808f5b415f41ad9ad4166b8eddb4449ff927a6b5d5898a76cdbe3f24ca2d920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03031",
    "kind": "arxiv",
    "version": 2
  }
}