Pith Number

pith:M6BN5DI7

pith:2013:M6BN5DI7262B4EBIDCL6KEK653

not attested not anchored not stored refs pending

Third-order phase transition in random tilings

A. G. Pronko, F. Colomo

arxiv:1306.6207 v3 · 2013-06-26 · math-ph · cond-mat.stat-mech · hep-th · math.CO · 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{M6BN5DI7262B4EBIDCL6KEK653}

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	2026-05-18T02:50:50.565651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6782de8d1fd7b41e10281897e5115eeefd5dee6715fdb6bf854ae81d3b3367a6

Aliases

arxiv: 1306.6207 · arxiv_version: 1306.6207v3 · doi: 10.48550/arxiv.1306.6207 · pith_short_12: M6BN5DI7262B · pith_short_16: M6BN5DI7262B4EBI · pith_short_8: M6BN5DI7

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/M6BN5DI7262B4EBIDCL6KEK653 \
  | 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: 6782de8d1fd7b41e10281897e5115eeefd5dee6715fdb6bf854ae81d3b3367a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932ae6f8586bedf202bcd3b0e67be0b13eac43eff34ae2ecdc3c5bd32b045fb7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-26T11:37:26Z",
    "title_canon_sha256": "5ad47eca7d3f235c20faac2904a2385ad401390fde8a127604165214a30fb229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6207",
    "kind": "arxiv",
    "version": 3
  }
}