Pith Number

pith:26BLFN46

pith:2012:26BLFN4635ONU3IB25KKMLF4M7

not attested not anchored not stored refs pending

Sidorenko's conjecture for a class of graphs: an exposition

Benny Sudakov, David Conlon, Jacob Fox

arxiv:1209.0184 v1 · 2012-09-02 · 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{26BLFN4635ONU3IB25KKMLF4M7}

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	2026-05-18T03:46:29.725572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d782b2b79edf5cda6d01d754a62cbc67ffe14fef750f38b8364e509d88577b70

Aliases

arxiv: 1209.0184 · arxiv_version: 1209.0184v1 · doi: 10.48550/arxiv.1209.0184 · pith_short_12: 26BLFN4635ON · pith_short_16: 26BLFN4635ONU3IB · pith_short_8: 26BLFN46

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/26BLFN4635ONU3IB25KKMLF4M7 \
  | 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: d782b2b79edf5cda6d01d754a62cbc67ffe14fef750f38b8364e509d88577b70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aed3589a83980103682dba442aeaf3be2983fcf1004b8de78adcc9ddb1a2eb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-02T15:49:32Z",
    "title_canon_sha256": "c59f16522979e36de6418af81ebc69bf6471ba3537b37b792f18afef8ae8b0dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0184",
    "kind": "arxiv",
    "version": 1
  }
}