Pith Number

pith:LKAHF4JK

pith:2009:LKAHF4JKBZR2WGMT5O3BRMS5OD

not attested not anchored not stored refs pending

Link communities reveal multiscale complexity in networks

James P. Bagrow, Sune Lehmann, Yong-Yeol Ahn

arxiv:0903.3178 v3 · 2009-03-18 · physics.soc-ph · physics.data-an · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKAHF4JKBZR2WGMT5O3BRMS5OD}

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	2026-05-18T04:40:56.242650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8072f12a0e63ab1993ebb618b25d70f029bb8c365af4559bfa4f8bf11213ea

Aliases

arxiv: 0903.3178 · arxiv_version: 0903.3178v3 · doi: 10.48550/arxiv.0903.3178 · pith_short_12: LKAHF4JKBZR2 · pith_short_16: LKAHF4JKBZR2WGMT · pith_short_8: LKAHF4JK

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/LKAHF4JKBZR2WGMT5O3BRMS5OD \
  | 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: 5a8072f12a0e63ab1993ebb618b25d70f029bb8c365af4559bfa4f8bf11213ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d874eddd3ab9b5a8bd7fe5868d72a575fbec180065f4f80bb353fb3c03696eb",
    "cross_cats_sorted": [
      "physics.data-an",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-03-18T19:03:29Z",
    "title_canon_sha256": "d2835d6d27a5872716b54ba3404c2d9228a4564283a0318e6260093d8332ecaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3178",
    "kind": "arxiv",
    "version": 3
  }
}