Pith Number

pith:IWONC2CD

pith:2018:IWONC2CDVHM4CUYEKCJ6PRJLXU

not attested not anchored not stored refs pending

Anticoncentration for subgraph statistics

Benny Sudakov, Matthew Kwan, Tuan Tran

arxiv:1807.05202 v5 · 2018-07-13 · 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{IWONC2CDVHM4CUYEKCJ6PRJLXU}

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	2026-05-17T23:59:52.217757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

459cd16843a9d9c153045093e7c52bbd1e2adc7daa9721b8053a6af42369cbc3

Aliases

arxiv: 1807.05202 · arxiv_version: 1807.05202v5 · doi: 10.48550/arxiv.1807.05202 · pith_short_12: IWONC2CDVHM4 · pith_short_16: IWONC2CDVHM4CUYE · pith_short_8: IWONC2CD

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/IWONC2CDVHM4CUYEKCJ6PRJLXU \
  | 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: 459cd16843a9d9c153045093e7c52bbd1e2adc7daa9721b8053a6af42369cbc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4873f31c86d5be2f416dc76977c797a06a434f67f291c9a6a5233d258815f099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-13T17:37:56Z",
    "title_canon_sha256": "b3837c32108be8804f02789673b21e9b63c49188dcbc923b54d61c1bec64afcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05202",
    "kind": "arxiv",
    "version": 5
  }
}