Pith Number

pith:3ZUWQP4H

pith:2009:3ZUWQP4HIUSJCGWJ6FBZXRCE4R

not attested not anchored not stored refs pending

Duality in inhomogeneous random graphs, and the cut metric

Oliver Riordan, Svante Janson

arxiv:0905.0434 v1 · 2009-05-04 · 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{3ZUWQP4HIUSJCGWJ6FBZXRCE4R}

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	2026-05-18T04:09:36.457002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de69683f874524911ac9f1439bc444e4522e3b478916e8350da2f74524e1100f

Aliases

arxiv: 0905.0434 · arxiv_version: 0905.0434v1 · doi: 10.48550/arxiv.0905.0434 · pith_short_12: 3ZUWQP4HIUSJ · pith_short_16: 3ZUWQP4HIUSJCGWJ · pith_short_8: 3ZUWQP4H

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/3ZUWQP4HIUSJCGWJ6FBZXRCE4R \
  | 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: de69683f874524911ac9f1439bc444e4522e3b478916e8350da2f74524e1100f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a63c779cca9f68e4167d0c184058f18ff0685806f67d1c82f54db4052cca256",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-04T17:56:27Z",
    "title_canon_sha256": "c071c9e35a3471b122c3dfa5e480067d495905a8fe50bb12680f9f82cc3f6c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0434",
    "kind": "arxiv",
    "version": 1
  }
}