Pith Number

pith:Y3S5IRV3

pith:2012:Y3S5IRV3S2NBZQCAXLXP5RRVIO

not attested not anchored not stored refs pending

A Short Introduction to Numerical Linked-Cluster Expansions

Baoming Tang, Ehsan Khatami, Marcos Rigol

arxiv:1207.3366 v1 · 2012-07-13 · cond-mat.stat-mech · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3S5IRV3S2NBZQCAXLXP5RRVIO}

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	2026-05-18T03:31:17.536421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e5d446bb969a1cc040baeefec63543949558c0b221280a6dd0e6a264213e0c

Aliases

arxiv: 1207.3366 · arxiv_version: 1207.3366v1 · doi: 10.48550/arxiv.1207.3366 · pith_short_12: Y3S5IRV3S2NB · pith_short_16: Y3S5IRV3S2NBZQCA · pith_short_8: Y3S5IRV3

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/Y3S5IRV3S2NBZQCAXLXP5RRVIO \
  | 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: c6e5d446bb969a1cc040baeefec63543949558c0b221280a6dd0e6a264213e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddf3e24a4b5115346bfde8f46ec0d60de9d0a0e9f6980738df5a602976d823cb",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-13T21:20:04Z",
    "title_canon_sha256": "d4c974cf3adc8fa835f405196d074c97d4ac81d0fc24c09b541228b98c64ce5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3366",
    "kind": "arxiv",
    "version": 1
  }
}