Pith Number

pith:IU4KK6K5

pith:2011:IU4KK6K5IW3FHCRUPFXXHCNKSG

not attested not anchored not stored refs pending

Contact process with sublattice symmetry breaking

Marcelo Martins de Oliveira, Ronald Dickman

arxiv:1107.0510 v1 · 2011-07-04 · 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{IU4KK6K5IW3FHCRUPFXXHCNKSG}

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	2026-05-18T04:18:53.828394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0

Aliases

arxiv: 1107.0510 · arxiv_version: 1107.0510v1 · doi: 10.48550/arxiv.1107.0510 · pith_short_12: IU4KK6K5IW3F · pith_short_16: IU4KK6K5IW3FHCRU · pith_short_8: IU4KK6K5

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/IU4KK6K5IW3FHCRUPFXXHCNKSG \
  | 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: 4538a5795d45b6538a34796f7389aa91be76bdc77093e139bf8e3d0013b23ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe7f86479e8d3f8977e536b739f986f85f37983a7c0ca688c408920276ba565",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-04T01:25:58Z",
    "title_canon_sha256": "cd978d6c7269e3cc811665aab15829668c17bc686dc4ce914a2b669f3cd2ce5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0510",
    "kind": "arxiv",
    "version": 1
  }
}