Pith Number

pith:UDJVT5RP

pith:2015:UDJVT5RPGTGRZ476BIMRAHT3EQ

not attested not anchored not stored refs pending

Bridges in the random-cluster model

Eren Metin El\c{c}i, Martin Weigel, Nikolaos G. Fytas

arxiv:1509.00668 v3 · 2015-09-02 · cond-mat.stat-mech · hep-lat · 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{UDJVT5RPGTGRZ476BIMRAHT3EQ}

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	2026-05-18T01:21:47.166764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d359f62f34cd1cf3fe0a19101e7b241a6ab145feebe4c4a376f4cef8bd464d

Aliases

arxiv: 1509.00668 · arxiv_version: 1509.00668v3 · doi: 10.48550/arxiv.1509.00668 · pith_short_12: UDJVT5RPGTGR · pith_short_16: UDJVT5RPGTGRZ476 · pith_short_8: UDJVT5RP

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/UDJVT5RPGTGRZ476BIMRAHT3EQ \
  | 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: a0d359f62f34cd1cf3fe0a19101e7b241a6ab145feebe4c4a376f4cef8bd464d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7ec5d1dc655999fc1ce6d6239dfc3c2dc1547abc57a46028d418f45eda7c28d",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-02T12:47:25Z",
    "title_canon_sha256": "bb912aad2ea17c22c0d76bbbcfe9f2b1e0e91ec93b81bf8676ad6cf0b6296c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00668",
    "kind": "arxiv",
    "version": 3
  }
}