Pith Number

pith:MG7MKJZY

pith:2019:MG7MKJZYZ33EYKV4DC4PUPHOL2

not attested not anchored not stored refs pending

Condensation of degrees emerging through a first-order phase transition in classical random graphs

Fernando L. Metz, Isaac P\'erez Castillo

arxiv:1904.09457 v1 · 2019-04-20 · cond-mat.dis-nn · cond-mat.stat-mech · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG7MKJZYZ33EYKV4DC4PUPHOL2}

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	2026-05-17T23:40:38.828155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61bec52738cef64c2abc18b8fa3cee5ea90dd7f061d66d636606dc521ea79d34

Aliases

arxiv: 1904.09457 · arxiv_version: 1904.09457v1 · doi: 10.48550/arxiv.1904.09457 · pith_short_12: MG7MKJZYZ33E · pith_short_16: MG7MKJZYZ33EYKV4 · pith_short_8: MG7MKJZY

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/MG7MKJZYZ33EYKV4DC4PUPHOL2 \
  | 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: 61bec52738cef64c2abc18b8fa3cee5ea90dd7f061d66d636606dc521ea79d34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7299fc99a65e96d988795522f5193ab1bc2a34be279ad1695cb08538a6bdd1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2019-04-20T15:15:06Z",
    "title_canon_sha256": "54d08ea1c7593b88ddb4750d79d6ebe9c96bd872db447e7f37e623f29a46f199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09457",
    "kind": "arxiv",
    "version": 1
  }
}