Pith Number

pith:QI2Z64H2

pith:2009:QI2Z64H23SERLYV42CA2GYI6IJ

not attested not anchored not stored refs pending

On the spread of random graphs

Colin McDiarmid, Louigi Addario-Berry, Svante Janson

arxiv:0902.1156 v2 · 2009-02-06 · math.PR · 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{QI2Z64H23SERLYV42CA2GYI6IJ}

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	2026-05-18T03:49:09.464137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82359f70fadc8915e2bcd081a3611e426dd3d458685450703f00881eaeb19e13

Aliases

arxiv: 0902.1156 · arxiv_version: 0902.1156v2 · doi: 10.48550/arxiv.0902.1156 · pith_short_12: QI2Z64H23SER · pith_short_16: QI2Z64H23SERLYV4 · pith_short_8: QI2Z64H2

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/QI2Z64H23SERLYV42CA2GYI6IJ \
  | 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: 82359f70fadc8915e2bcd081a3611e426dd3d458685450703f00881eaeb19e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b5311994ecb4c7df4ce2020b30c6d0be31471a296a7fe668532b46afb5a071",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-02-06T18:40:24Z",
    "title_canon_sha256": "b30eeb4f4c10ca76f5a58bde8d5b0a33190af4287e449bd34fbe3497c64579c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1156",
    "kind": "arxiv",
    "version": 2
  }
}