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Pith Number

pith:ZQDJPGVH

pith:2015:ZQDJPGVH4YEFKG75IYGVT7Y5YX
not attested not anchored not stored refs pending

Minimal paths between communities induced by geographical networks

Cesar Henrique Comin, Henrique Ferraz de Arruda, Luciano da Fontoura Costa

arxiv:1501.02728 v2 · 2015-01-12 · physics.soc-ph · cs.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZQDJPGVH4YEFKG75IYGVT7Y5YX}

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 2026-05-17T23:52:56.499599Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc06979aa7e608551bfd460d59ff1dc5fc764c48b54132510dc8ef6b44c0dfa0

Aliases

arxiv: 1501.02728 · arxiv_version: 1501.02728v2 · doi: 10.48550/arxiv.1501.02728 · pith_short_12: ZQDJPGVH4YEF · pith_short_16: ZQDJPGVH4YEFKG75 · pith_short_8: ZQDJPGVH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZQDJPGVH4YEFKG75IYGVT7Y5YX \
  | 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: cc06979aa7e608551bfd460d59ff1dc5fc764c48b54132510dc8ef6b44c0dfa0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7a87b096e60fabfaa4784bcc7575d95a417ae2628188b8360887c87c2e779249",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-01-12T17:26:34Z",
    "title_canon_sha256": "37a017f6b4a9fe534e046ba95b9a2032550fe458ed4b500486a6a387cf315f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02728",
    "kind": "arxiv",
    "version": 2
  }
}