Pith Number

pith:B2HYBNP4

pith:2013:B2HYBNP4AHXFOXAQLDN2OMXVF6

not attested not anchored not stored refs pending

Clustering and the hyperbolic geometry of complex networks

Elisabetta Candellero, Nikolaos Fountoulakis

arxiv:1309.0459 v3 · 2013-09-02 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2HYBNP4AHXFOXAQLDN2OMXVF6}

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	2026-05-18T01:37:47.625296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8f80b5fc01ee575c1058dba732f52f9ed94dea1a7b554655824c058eb3f3c7

Aliases

arxiv: 1309.0459 · arxiv_version: 1309.0459v3 · doi: 10.48550/arxiv.1309.0459 · pith_short_12: B2HYBNP4AHXF · pith_short_16: B2HYBNP4AHXFOXAQ · pith_short_8: B2HYBNP4

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/B2HYBNP4AHXFOXAQLDN2OMXVF6 \
  | 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: 0e8f80b5fc01ee575c1058dba732f52f9ed94dea1a7b554655824c058eb3f3c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688db69613180efa2a124710ee574f6e2ffbd817136cc551856c8f6b6403b92c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-02T16:34:07Z",
    "title_canon_sha256": "f0e3bafa59b65e6f065d9612ad65aaa773a7054e065313ffbb6372ea8f7cc912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0459",
    "kind": "arxiv",
    "version": 3
  }
}