Pith Number

pith:7XF5XFYZ

pith:2026:7XF5XFYZ5GJUKUGJSJMEC3ENPV

not attested not anchored not stored refs pending

Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes

Lin Niu, Qizhong Lin

arxiv:2607.10111 v1 · 2026-07-11 · 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{7XF5XFYZ5GJUKUGJSJMEC3ENPV}

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	2026-07-14T01:20:25.778483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdcbdb9719e9934550c99258416c8d7d5b05f167feccb40f2ed9fe32cd1fb0e5

Aliases

arxiv: 2607.10111 · arxiv_version: 2607.10111v1 · doi: 10.48550/arxiv.2607.10111 · pith_short_12: 7XF5XFYZ5GJU · pith_short_16: 7XF5XFYZ5GJUKUGJ · pith_short_8: 7XF5XFYZ

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/7XF5XFYZ5GJUKUGJSJMEC3ENPV \
  | 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: fdcbdb9719e9934550c99258416c8d7d5b05f167feccb40f2ed9fe32cd1fb0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637022546fb5a7778a80250248c0fa33f245d381e920597755c1994b9d1b2fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-11T04:13:38Z",
    "title_canon_sha256": "50649835a7a70f8497217328668e4fec1a1c81432060fcee5c135b523782de17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10111",
    "kind": "arxiv",
    "version": 1
  }
}