pith. sign in
Pith Number

pith:25SG4QB7

pith:2009:25SG4QB7KKUC4TE5YICXAHPSEZ
not attested not anchored not stored refs pending

Designing optimal transport networks

A. A. Moreira, G. Li, H. E. Stanley, J. S. Andrade Jr, S. D. S. Reis, S. Havlin

arxiv:0908.3869 v1 · 2009-08-26 · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{25SG4QB7KKUC4TE5YICXAHPSEZ}

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 2026-05-18T02:53:30.707866Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d7646e403f52a82e4c9dc205701df226500397beb2677782f1dfb472ddef8670

Aliases

arxiv: 0908.3869 · arxiv_version: 0908.3869v1 · doi: 10.48550/arxiv.0908.3869 · pith_short_12: 25SG4QB7KKUC · pith_short_16: 25SG4QB7KKUC4TE5 · pith_short_8: 25SG4QB7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/25SG4QB7KKUC4TE5YICXAHPSEZ \
  | 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: d7646e403f52a82e4c9dc205701df226500397beb2677782f1dfb472ddef8670
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3101204618765c810386bb065447ef9488ca18f566af354119265c5de201c77e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2009-08-26T17:50:12Z",
    "title_canon_sha256": "c1963e118a7d15574a31dbca5c7bfcd09b7f4a6b5a62e52ceb3cbc56bda60fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3869",
    "kind": "arxiv",
    "version": 1
  }
}