Pith Number

pith:PRP6CVT3

pith:2010:PRP6CVT3MYEMAZDJOUWRAJXZT5

not attested not anchored not stored refs pending

The high-temperature expansion of the classical Ising model with S_z^2 term

M.T. Thomaz, O. Rojas

arxiv:1009.4078 v4 · 2010-09-21 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRP6CVT3MYEMAZDJOUWRAJXZT5}

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	2026-05-18T03:57:00.935339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c5fe1567b6608c06469752d1026f99f65029dd99fa54ff9e00152daf01efa56

Aliases

arxiv: 1009.4078 · arxiv_version: 1009.4078v4 · doi: 10.48550/arxiv.1009.4078 · pith_short_12: PRP6CVT3MYEM · pith_short_16: PRP6CVT3MYEMAZDJ · pith_short_8: PRP6CVT3

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/PRP6CVT3MYEMAZDJOUWRAJXZT5 \
  | 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: 7c5fe1567b6608c06469752d1026f99f65029dd99fa54ff9e00152daf01efa56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a8ccfb3b1b1c93982abcd1a6e726432273ca53099b11b90ddb205a86d70ee44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-09-21T12:47:41Z",
    "title_canon_sha256": "2cc81a625bb8fb3c51ddcf6c60bf963aacc65848264a332daa8aae50907e921c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4078",
    "kind": "arxiv",
    "version": 4
  }
}