Pith Number

pith:K6BAIFWU

pith:2026:K6BAIFWUP6U76NQ7WCF4MWRPXL

not attested not anchored not stored refs pending

Generalized Erd\H{o}s--Rogers problems for $r$-uniform hypergraphs

Lulu Dai, Qizhong Lin

arxiv:2607.00732 v1 · 2026-07-01 · 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{K6BAIFWUP6U76NQ7WCF4MWRPXL}

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	2026-07-02T01:17:52.870075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57820416d47fa9ff361fb08bc65a2fbad2bec108a32d85ebf2d8aa7406f5b97c

Aliases

arxiv: 2607.00732 · arxiv_version: 2607.00732v1 · doi: 10.48550/arxiv.2607.00732 · pith_short_12: K6BAIFWUP6U7 · pith_short_16: K6BAIFWUP6U76NQ7 · pith_short_8: K6BAIFWU

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/K6BAIFWUP6U76NQ7WCF4MWRPXL \
  | 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: 57820416d47fa9ff361fb08bc65a2fbad2bec108a32d85ebf2d8aa7406f5b97c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e96f2247b3611a943dd1212db886cb270acd7ac0715b67622f6ad54bc6bf9801",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T10:17:22Z",
    "title_canon_sha256": "9489672a0c5da4030a333b63f1f36599e1235b60d72f3399e010190be119376b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00732",
    "kind": "arxiv",
    "version": 1
  }
}