Pith Number

pith:NATY5ARQ

pith:2026:NATY5ARQNOC2JZ2MRUYXWUACS7

not attested not anchored not stored refs pending

Erd\H{o}s-Hajnal beyond the five-vertex path

Shenwei Huang, Yiao Ju, Yidong Zhou

arxiv:2606.06258 v1 · 2026-06-04 · 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{NATY5ARQNOC2JZ2MRUYXWUACS7}

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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

A Single-Exponential Erd\H{o}s--Hajnal Bound for Graphs of Bounded VC-Dimension

Receipt and verification

First computed	2026-06-05T01:15:39.510402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68278e82306b85a4e74c8d317b500297ed80eb340224e96dffe742284e46b122

Aliases

arxiv: 2606.06258 · arxiv_version: 2606.06258v1 · doi: 10.48550/arxiv.2606.06258 · pith_short_12: NATY5ARQNOC2 · pith_short_16: NATY5ARQNOC2JZ2M · pith_short_8: NATY5ARQ

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/NATY5ARQNOC2JZ2MRUYXWUACS7 \
  | 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: 68278e82306b85a4e74c8d317b500297ed80eb340224e96dffe742284e46b122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f26a8fd43ab4061f6f93d63d4853e95d16799664923c33b6098187028338167",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T15:01:38Z",
    "title_canon_sha256": "8f968b61e8bdba7387bf2c531316e9801427e2c57a23014bd2782733cfdcee4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06258",
    "kind": "arxiv",
    "version": 1
  }
}