Pith Number

pith:75GOPBAE

pith:2013:75GOPBAEAZ5RNTC7AEKXIMSORS

not attested not anchored not stored refs pending

Anarchy is free in network creation

Ariel Levavi, Linus Hamilton, Po-Shen Loh, Ronald Graham

arxiv:1307.3113 v1 · 2013-07-11 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75GOPBAEAZ5RNTC7AEKXIMSORS}

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	2026-05-18T03:18:41.149953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4ce78404067b16cc5f011574324e8c960f680c778a670b692d05aecf1d354b

Aliases

arxiv: 1307.3113 · arxiv_version: 1307.3113v1 · doi: 10.48550/arxiv.1307.3113 · pith_short_12: 75GOPBAEAZ5R · pith_short_16: 75GOPBAEAZ5RNTC7 · pith_short_8: 75GOPBAE

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/75GOPBAEAZ5RNTC7AEKXIMSORS \
  | 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: ff4ce78404067b16cc5f011574324e8c960f680c778a670b692d05aecf1d354b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b7f83c362a6468d6b97881b3561da6a97da5544fe908222dc0d52bf5900c5ca",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-11T14:01:50Z",
    "title_canon_sha256": "fb41f3f0f0f90f54b9bb254360958578b53cadfec86cd4a9c552899c30f7eb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3113",
    "kind": "arxiv",
    "version": 1
  }
}