Pith Number

pith:CS27DC74

pith:2015:CS27DC74B3IWWGDXG2S7VHEJID

not attested not anchored not stored refs pending

Sparse graph limits, entropy maximization and transitive graphs

Balazs Szegedy

arxiv:1504.00858 v1 · 2015-04-03 · math.CO · math.GR · 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{CS27DC74B3IWWGDXG2S7VHEJID}

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.

Cited by

2 papers in Pith

Logarithmic convergence of finite projective planes

Spectral Sidorenko inequalities and edge-spectral supersaturation

Receipt and verification

First computed	2026-05-18T02:19:36.876153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b5f18bfc0ed16b187736a5fa9c8940ec90cdbe859daa8e818c78aac2b93532

Aliases

arxiv: 1504.00858 · arxiv_version: 1504.00858v1 · doi: 10.48550/arxiv.1504.00858 · pith_short_12: CS27DC74B3IW · pith_short_16: CS27DC74B3IWWGDX · pith_short_8: CS27DC74

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/CS27DC74B3IWWGDXG2S7VHEJID \
  | 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: 14b5f18bfc0ed16b187736a5fa9c8940ec90cdbe859daa8e818c78aac2b93532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "422dc1ea86895fdf6f8928d253020e45eb91a9026cee299b252438ce95ba5684",
    "cross_cats_sorted": [
      "math.GR",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-03T15:13:52Z",
    "title_canon_sha256": "ae3c8b4e37d1489caab13843d09348edc6e17e9eb1a3b7ca5141e22838ca3147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00858",
    "kind": "arxiv",
    "version": 1
  }
}