Pith Number

pith:ZAGHF6QQ

pith:2009:ZAGHF6QQHJIMB54FZARXFTG3H5

not attested not anchored not stored refs pending

Finitely forcible graphons

Balazs Szegedy, Laszlo Lovasz

arxiv:0901.0929 v2 · 2009-01-07 · 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{ZAGHF6QQHJIMB54FZARXFTG3H5}

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	2026-05-18T03:15:21.300141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c80c72fa103a50c0f785c82372ccdb3f56fbfed991f3cf725066912367a67229

Aliases

arxiv: 0901.0929 · arxiv_version: 0901.0929v2 · doi: 10.48550/arxiv.0901.0929 · pith_short_12: ZAGHF6QQHJIM · pith_short_16: ZAGHF6QQHJIMB54F · pith_short_8: ZAGHF6QQ

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/ZAGHF6QQHJIMB54FZARXFTG3H5 \
  | 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: c80c72fa103a50c0f785c82372ccdb3f56fbfed991f3cf725066912367a67229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d54c39478128b0df7d6ef5bc88c15dea58ebdde520974c7df538b331ae6306",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-01-07T21:07:59Z",
    "title_canon_sha256": "256b6a5384e426cd2ba3701817f51cb12c210392dc04023d6bfbc07f4369b897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0929",
    "kind": "arxiv",
    "version": 2
  }
}