Pith Number

pith:OYWG7UY7

pith:2002:OYWG7UY74NEXOOGG7NHWZUWF57

not attested not anchored not stored refs pending

Average path length in random networks

Agata Fronczak, Janusz A. Holyst, Piotr Fronczak

arxiv:cond-mat/0212230 v3 · 2002-12-10 · cond-mat.dis-nn · 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{OYWG7UY74NEXOOGG7NHWZUWF57}

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	2026-05-18T03:24:32.711096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762c6fd31fe3497738c6fb4f6cd2c5efca0677988dec620bc8b500610c9fe8f1

Aliases

arxiv: cond-mat/0212230 · arxiv_version: cond-mat/0212230v3 · doi: 10.48550/arxiv.cond-mat/0212230 · pith_short_12: OYWG7UY74NEX · pith_short_16: OYWG7UY74NEXOOGG · pith_short_8: OYWG7UY7

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/OYWG7UY74NEXOOGG7NHWZUWF57 \
  | 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: 762c6fd31fe3497738c6fb4f6cd2c5efca0677988dec620bc8b500610c9fe8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86e36e82b39c5c010383984533dca9ef6056695007dc3f22893b1a854232a62f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2002-12-10T19:51:04Z",
    "title_canon_sha256": "d0b79061d5dd6c5cea991dd3c78db5dbd22f87f92b662c302ecbb75e0a6e3819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0212230",
    "kind": "arxiv",
    "version": 3
  }
}