Pith Number

pith:JRPY5ZI3

pith:2015:JRPY5ZI37JHTWABDWEWYGL7NV5

not attested not anchored not stored refs pending

Global cycle properties in graphs with large minimum clustering coefficient

Adam Borchert, Ortrud R. Oellermann, Skylar Nicol

arxiv:1506.03691 v2 · 2015-06-11 · 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{JRPY5ZI37JHTWABDWEWYGL7NV5}

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	2026-05-18T01:23:16.386336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5f8ee51bfa4f3b0023b12d832fedaf7b8752b8834c2b2964c3a7fdfd6bffab

Aliases

arxiv: 1506.03691 · arxiv_version: 1506.03691v2 · doi: 10.48550/arxiv.1506.03691 · pith_short_12: JRPY5ZI37JHT · pith_short_16: JRPY5ZI37JHTWABD · pith_short_8: JRPY5ZI3

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/JRPY5ZI37JHTWABDWEWYGL7NV5 \
  | 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: 4c5f8ee51bfa4f3b0023b12d832fedaf7b8752b8834c2b2964c3a7fdfd6bffab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd12e332cecefb2bc4075354e6400482d1854e10cdeaeeb8ccae4c9a73500ddf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-11T14:37:04Z",
    "title_canon_sha256": "3d04df61b947aa1f1086b950d09c6d1ba9d68cfb0919d33367f3b3ed07e7f3fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03691",
    "kind": "arxiv",
    "version": 2
  }
}