Pith Number

pith:PKOQOQGX

pith:2009:PKOQOQGXJUA5T4UG3LKPTGDLBG

not attested not anchored not stored refs pending

Rank-based attachment leads to power law graphs

Jeannette Janssen, Pawel Pralat

arxiv:0908.3436 v1 · 2009-08-24 · 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{PKOQOQGXJUA5T4UG3LKPTGDLBG}

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	2026-05-18T03:47:09.085786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9d0740d74d01d9f286dad4f9986b09b687f05b2b286db8132b339fb20922a2

Aliases

arxiv: 0908.3436 · arxiv_version: 0908.3436v1 · doi: 10.48550/arxiv.0908.3436 · pith_short_12: PKOQOQGXJUA5 · pith_short_16: PKOQOQGXJUA5T4UG · pith_short_8: PKOQOQGX

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/PKOQOQGXJUA5T4UG3LKPTGDLBG \
  | 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: 7a9d0740d74d01d9f286dad4f9986b09b687f05b2b286db8132b339fb20922a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "233375c14ae37c26870b616f57f413f9a4c3a2e49bde9d57dad264d35216734b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-24T15:21:52Z",
    "title_canon_sha256": "e1af332b927fff87dfa6e15a3a01130d737b7c9fce17b269116b40faceadb227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3436",
    "kind": "arxiv",
    "version": 1
  }
}