Pith Number

pith:GEZKMZB4

pith:2010:GEZKMZB4USBAWFKDKWQOY42SUL

not attested not anchored not stored refs pending

Gibbs measures of disordered lattice systems with unbounded spins

Tanja Pasurek, Yuri Kondratiev, Yuri Kozitsky

arxiv:1008.2686 v1 · 2010-08-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GEZKMZB4USBAWFKDKWQOY42SUL}

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	2026-05-18T04:42:12.779970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3132a6643ca4820b154355a0ec7352a2eb406d5b433510b9c18b85ffaecb608a

Aliases

arxiv: 1008.2686 · arxiv_version: 1008.2686v1 · doi: 10.48550/arxiv.1008.2686 · pith_short_12: GEZKMZB4USBA · pith_short_16: GEZKMZB4USBAWFKD · pith_short_8: GEZKMZB4

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/GEZKMZB4USBAWFKDKWQOY42SUL \
  | 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: 3132a6643ca4820b154355a0ec7352a2eb406d5b433510b9c18b85ffaecb608a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cc1b6446f261c756c2b77f1ae66ee6833a8deacefa9e5d1d1ad9056d5dec878",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-16T15:16:24Z",
    "title_canon_sha256": "2825d44fa875affd5a1f76be69f18224660f78e3d0d8ff626748c0871431dc9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2686",
    "kind": "arxiv",
    "version": 1
  }
}