Pith Number

pith:D5GNOUWI

pith:2015:D5GNOUWIDICQVCYYBLBQ7A36FR

not attested not anchored not stored refs pending

Marginal dimensions of the Potts model with invisible states

B. Berche, M. Krasnytska, P. Sarkanych, R. Kenna, Yu. Holovatch

arxiv:1512.03635 v1 · 2015-12-11 · 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{D5GNOUWIDICQVCYYBLBQ7A36FR}

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	2026-05-18T01:14:44.510302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4cd752c81a050a8b180ac30f837e2c761aed4d2e344a54c61ce3baa167c49c

Aliases

arxiv: 1512.03635 · arxiv_version: 1512.03635v1 · doi: 10.48550/arxiv.1512.03635 · pith_short_12: D5GNOUWIDICQ · pith_short_16: D5GNOUWIDICQVCYY · pith_short_8: D5GNOUWI

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/D5GNOUWIDICQVCYYBLBQ7A36FR \
  | 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: 1f4cd752c81a050a8b180ac30f837e2c761aed4d2e344a54c61ce3baa167c49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d80951d2ad0d69f9871921a0ba38d6ba36781a21db0f68bd13f8afd3b67b76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-11T13:39:31Z",
    "title_canon_sha256": "b9df3ba88bed8f4b4b710b39c63055fdaa3a1982339c7725ff6eebc5532dcb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03635",
    "kind": "arxiv",
    "version": 1
  }
}