Pith Number

pith:K6FOFWQX

pith:2011:K6FOFWQXWTWB7KXOHNSLR4GD47

not attested not anchored not stored refs pending

Farey Graphs as Models for Complex Networks

Francesc Comellas, Zhongzhi Zhang

arxiv:1105.0575 v2 · 2011-05-03 · 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{K6FOFWQXWTWB7KXOHNSLR4GD47}

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	2026-05-18T01:28:21.999847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578ae2da17b4ec1faaee3b64b8f0c3e7f8fcf105520318ec535e8973afe2aebe

Aliases

arxiv: 1105.0575 · arxiv_version: 1105.0575v2 · doi: 10.48550/arxiv.1105.0575 · pith_short_12: K6FOFWQXWTWB · pith_short_16: K6FOFWQXWTWB7KXO · pith_short_8: K6FOFWQX

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/K6FOFWQXWTWB7KXOHNSLR4GD47 \
  | 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: 578ae2da17b4ec1faaee3b64b8f0c3e7f8fcf105520318ec535e8973afe2aebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f43e1a13924c9d5c24620759a95072c911c2d1d1d1b88cbee6b9212b0573462",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-05-03T13:00:32Z",
    "title_canon_sha256": "561ec0ca12fcdfd6beea6e1987cefae1fa9788498073e61ff1ad4d914408db8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0575",
    "kind": "arxiv",
    "version": 2
  }
}