Pith Number

pith:POENVVQO

pith:2017:POENVVQOXHCGTR5WE42QKWLAPU

not attested not anchored not stored refs pending

Relationships Between Characteristic Path Length, Efficiency, Clustering Coefficients, and Graph Density

Alexander Strang, Darren A. Narayan, Nathan D. Cahill, Oliver Haynes

arxiv:1702.02621 v2 · 2017-02-03 · math.CO · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POENVVQOXHCGTR5WE42QKWLAPU}

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	2026-05-18T00:34:35.131238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b88dad60eb9c469c7b627350559607d1e94de26f40acf7087b60e99ad479fb6

Aliases

arxiv: 1702.02621 · arxiv_version: 1702.02621v2 · doi: 10.48550/arxiv.1702.02621 · pith_short_12: POENVVQOXHCG · pith_short_16: POENVVQOXHCGTR5W · pith_short_8: POENVVQO

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/POENVVQOXHCGTR5WE42QKWLAPU \
  | 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: 7b88dad60eb9c469c7b627350559607d1e94de26f40acf7087b60e99ad479fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b02e010b4cc98b8aecd6194e17c2656e80661ebb591cafd360d73aeb78989ef",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-03T14:10:14Z",
    "title_canon_sha256": "1e1d56096bae48135d3f7cc266e369264a6f531d67d4085245ce74424235af74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02621",
    "kind": "arxiv",
    "version": 2
  }
}