Pith Number

pith:VYEOR57C

pith:2011:VYEOR57CKT5SVFQ4HBM26GBYRM

not attested not anchored not stored refs pending

Graded cluster expansion for lattice systems

Emilio N.M. Cirillo, E. Olivieri, L. Bertini

arxiv:1110.6028 v1 · 2011-10-27 · 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{VYEOR57CKT5SVFQ4HBM26GBYRM}

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	2026-05-18T02:00:03.198561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae08e8f7e254fb2a961c3859af18388b247b59cd98c246524cfb4f2e34bdc76d

Aliases

arxiv: 1110.6028 · arxiv_version: 1110.6028v1 · doi: 10.48550/arxiv.1110.6028 · pith_short_12: VYEOR57CKT5S · pith_short_16: VYEOR57CKT5SVFQ4 · pith_short_8: VYEOR57C

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/VYEOR57CKT5SVFQ4HBM26GBYRM \
  | 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: ae08e8f7e254fb2a961c3859af18388b247b59cd98c246524cfb4f2e34bdc76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010e6c97d5561396baa0821e115dc5e8dc9d904d450ab8cca899fb9c5c3795a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-10-27T09:42:31Z",
    "title_canon_sha256": "c6e42999d7821a7e48683315002682ea78c341a8ee8bd94ab9657329bb32250a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6028",
    "kind": "arxiv",
    "version": 1
  }
}