Pith Number

pith:36D2QL5S

pith:2026:36D2QL5SH47NATMEPT7XRE2BHM

not attested not anchored not stored refs pending

The Erd\H{o}s-Hajnal High-Girth Subgraph Conjecture Holds in the Polynomial Chromatic-Sparsity Regime

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.17901 v1 · 2026-06-16 · math.CO · 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{36D2QL5SH47NATMEPT7XRE2BHM}

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	2026-06-19T16:10:43.136276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df87a82fb23f3ed04d847cff7893413b3478968faf5c398dd63b2ea252462976

Aliases

arxiv: 2606.17901 · arxiv_version: 2606.17901v1 · doi: 10.48550/arxiv.2606.17901 · pith_short_12: 36D2QL5SH47N · pith_short_16: 36D2QL5SH47NATME · pith_short_8: 36D2QL5S

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/36D2QL5SH47NATMEPT7XRE2BHM \
  | 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: df87a82fb23f3ed04d847cff7893413b3478968faf5c398dd63b2ea252462976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b0c35659a2a0507b5aee3afc446d61299e9ede38b42a0c97bfe3c108cc3f8d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-16T13:28:17Z",
    "title_canon_sha256": "8b4ccd9fb549a9b591b89188c64e997e2d99da25d2f6356ef75eb05714f8cfbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17901",
    "kind": "arxiv",
    "version": 1
  }
}