Pith Number

pith:VOO4F6ME

pith:2014:VOO4F6MEVS2IK37ZFA34DYU46Q

not attested not anchored not stored refs pending

Reciprocity in directed networks

Lingjiong Zhu, Mei Yin

arxiv:1412.2187 v3 · 2014-12-06 · cond-mat.stat-mech · math.CO · 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{VOO4F6MEVS2IK37ZFA34DYU46Q}

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	2026-05-18T01:23:49.112626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9dc2f984acb4856ff92837c1e29cf435dd5018dbe63eff60a2ab7c9439912e

Aliases

arxiv: 1412.2187 · arxiv_version: 1412.2187v3 · doi: 10.48550/arxiv.1412.2187 · pith_short_12: VOO4F6MEVS2I · pith_short_16: VOO4F6MEVS2IK37Z · pith_short_8: VOO4F6ME

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/VOO4F6MEVS2IK37ZFA34DYU46Q \
  | 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: ab9dc2f984acb4856ff92837c1e29cf435dd5018dbe63eff60a2ab7c9439912e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf3b516d0c512bc635bf1744eb6d79b5cfd86b336f1bb47020e283d61c22836d",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-12-06T00:36:12Z",
    "title_canon_sha256": "0ca5494b6a7de6ae4dd4726296db1e103bc3e6a2f3a1a0548b0efca8244cad9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2187",
    "kind": "arxiv",
    "version": 3
  }
}