Pith Number

pith:AWGHYY7N

pith:2026:AWGHYY7NALACXYC3K2KGALE3V6

not attested not anchored not stored refs pending

Homogeneous hypergraph regularity lemmas via $k$-strong honest definitions

Mervyn Tong

arxiv:2607.19202 v1 · 2026-07-21 · math.LO · 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{AWGHYY7NALACXYC3K2KGALE3V6}

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	2026-07-22T01:24:13.996794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058c7c63ed02c02be05b5694602c9baf895201bf4d4e1042d4a8eedc89d3e904

Aliases

arxiv: 2607.19202 · arxiv_version: 2607.19202v1 · doi: 10.48550/arxiv.2607.19202 · pith_short_12: AWGHYY7NALAC · pith_short_16: AWGHYY7NALACXYC3 · pith_short_8: AWGHYY7N

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/AWGHYY7NALACXYC3K2KGALE3V6 \
  | 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: 058c7c63ed02c02be05b5694602c9baf895201bf4d4e1042d4a8eedc89d3e904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c295311c01e9bca70458d22fa301899c8656059daf145d0f05f8cf5e221edb92",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-21T15:34:48Z",
    "title_canon_sha256": "02a6e842686996f9f0eca7565079291f0b18a1e6aee122672ce89dd0121cb1d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19202",
    "kind": "arxiv",
    "version": 1
  }
}