Pith Number

pith:W6S64IC6

pith:2015:W6S64IC6Z7QZCZPHYCDXW6FHUM

not attested not anchored not stored refs pending

Mean-field solution of the Blume-Capel model under a random crystal field

Francisco A. da Costa, Jo\~ao M. de Ara\'ujo, Priscila V. dos Santos

arxiv:1501.07777 v2 · 2015-01-30 · 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{W6S64IC6Z7QZCZPHYCDXW6FHUM}

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	2026-05-18T02:28:06.570287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a5ee205ecfe19165e7c0877b78a7a31b785180293b9223a6e97a8406910651

Aliases

arxiv: 1501.07777 · arxiv_version: 1501.07777v2 · doi: 10.48550/arxiv.1501.07777 · pith_short_12: W6S64IC6Z7QZ · pith_short_16: W6S64IC6Z7QZCZPH · pith_short_8: W6S64IC6

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/W6S64IC6Z7QZCZPHYCDXW6FHUM \
  | 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: b7a5ee205ecfe19165e7c0877b78a7a31b785180293b9223a6e97a8406910651

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c0ad8e36b295488bab15e14478b58746e35ad6df2250e753aebf21572e0456b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-30T14:01:39Z",
    "title_canon_sha256": "4286ed981cf7407dbcf16cb0f1e52a4b3d99fb6f51013aae95fc20770220f5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07777",
    "kind": "arxiv",
    "version": 2
  }
}