Pith Number

pith:NGNK5ODB

pith:2017:NGNK5ODBPB7I7PHXQSQISNIWMN

not attested not anchored not stored refs pending

Ramsey graphs induce subgraphs of quadratically many sizes

Benny Sudakov, Matthew Kwan

arxiv:1711.02937 v4 · 2017-11-08 · 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{NGNK5ODBPB7I7PHXQSQISNIWMN}

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

1 paper in Pith

An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs

Receipt and verification

First computed	2026-07-05T03:11:50.862717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699aaeb861787e8fbcf784a089351663787bea2996590072609c834794b7d202

Aliases

arxiv: 1711.02937 · arxiv_version: 1711.02937v4 · doi: 10.48550/arxiv.1711.02937 · pith_short_12: NGNK5ODBPB7I · pith_short_16: NGNK5ODBPB7I7PHX · pith_short_8: NGNK5ODB

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/NGNK5ODBPB7I7PHXQSQISNIWMN \
  | 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: 699aaeb861787e8fbcf784a089351663787bea2996590072609c834794b7d202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01593a24756e6af1402b760dcc55ed7afb67bf90de8c26b5fec940bdef0077b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-08T13:28:48Z",
    "title_canon_sha256": "3212637b2a7829f87a7aee603641254e2a6e6cadd3d80dc72b797b2052e50355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02937",
    "kind": "arxiv",
    "version": 4
  }
}