Pith Number

pith:VNT7BPZA

pith:2013:VNT7BPZAWPBNEAFQLT3QAZRCIU

not attested not anchored not stored refs pending

Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets

Hui Ma, Lei-Han Tang, Liang Tian, Wenan Guo

arxiv:1303.1605 v2 · 2013-03-07 · cond-mat.dis-nn · 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{VNT7BPZAWPBNEAFQLT3QAZRCIU}

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	2026-05-18T01:51:15.883342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab67f0bf20b3c2d200b05cf700662245140910056d2a537cc4568af6aec829ef

Aliases

arxiv: 1303.1605 · arxiv_version: 1303.1605v2 · doi: 10.48550/arxiv.1303.1605 · pith_short_12: VNT7BPZAWPBN · pith_short_16: VNT7BPZAWPBNEAFQ · pith_short_8: VNT7BPZA

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/VNT7BPZAWPBNEAFQLT3QAZRCIU \
  | 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: ab67f0bf20b3c2d200b05cf700662245140910056d2a537cc4568af6aec829ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57e8d9e4c99774ad0f5e30a121b4e11237fe3193d80036c91745955ffa3f99d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2013-03-07T04:55:44Z",
    "title_canon_sha256": "d75f4ad4f0f39cd25a6494602619dc37e1cc63912f7be843c57de676e1a295fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1605",
    "kind": "arxiv",
    "version": 2
  }
}