Pith Number

pith:VGO36XB2

pith:2015:VGO36XB2UBIX3SLWQM6LH4IWEJ

not attested not anchored not stored refs pending

Typical distances in a geometric model for complex networks

Michel Bode, Mohammed Amin Abdullah, Nikolaos Fountoulakis

arxiv:1506.07811 v2 · 2015-06-25 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGO36XB2UBIX3SLWQM6LH4IWEJ}

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	2026-05-18T00:38:44.249001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99dbf5c3aa0517dc976833cb3f1162246c6ca6ca165ab2276b6576792e03ba6

Aliases

arxiv: 1506.07811 · arxiv_version: 1506.07811v2 · doi: 10.48550/arxiv.1506.07811 · pith_short_12: VGO36XB2UBIX · pith_short_16: VGO36XB2UBIX3SLW · pith_short_8: VGO36XB2

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/VGO36XB2UBIX3SLWQM6LH4IWEJ \
  | 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: a99dbf5c3aa0517dc976833cb3f1162246c6ca6ca165ab2276b6576792e03ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4ff7a753f7bd0cd864cdc1969ff470ab5bcce95b8c707c8bc2da7eb4a4d8c2",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-25T16:48:45Z",
    "title_canon_sha256": "37a804246490803be3a6119a74df93a0ccfecee5ef537a301dd59d1515ac4cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07811",
    "kind": "arxiv",
    "version": 2
  }
}