Pith Number

pith:CCVRQAML

pith:2025:CCVRQAMLRZ2P2KAROWPWS7MXQZ

not attested not anchored not stored refs pending

Voter model on heterogeneous directed networks

Diego Garlaschelli, Federico Capannoli, Luca Avena, Rajat Subhra Hazra

arxiv:2506.12169 v3 · 2025-06-13 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCVRQAMLRZ2P2KAROWPWS7MXQZ}

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	2026-07-05T11:23:30.035121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ab18018b8e74fd2811759f697d9786459499a228cd47306aade40537b4d679

Aliases

arxiv: 2506.12169 · arxiv_version: 2506.12169v3 · doi: 10.48550/arxiv.2506.12169 · pith_short_12: CCVRQAMLRZ2P · pith_short_16: CCVRQAMLRZ2P2KAR · pith_short_8: CCVRQAML

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/CCVRQAMLRZ2P2KAROWPWS7MXQZ \
  | 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: 10ab18018b8e74fd2811759f697d9786459499a228cd47306aade40537b4d679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed89a1b3ecad3c54800c49a675bb0e3e27dd8880926526948a92cfeae0abbadf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-13T18:41:01Z",
    "title_canon_sha256": "08ef2cde09a15f638b88f4df62b216a29808f9646f34853d03ccb03b3a40c2bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12169",
    "kind": "arxiv",
    "version": 3
  }
}