Pith Number

pith:4K7J2IFJ

pith:2025:4K7J2IFJK2GMIP7WGFHBQLNCVA

not attested not anchored not stored refs pending

Regularity for hypergraphs with bounded VC$_2$ dimension

Asaf Shapira, Lior Gishboliner, Yuval Wigderson

arxiv:2508.09969 v1 · 2025-08-13 · 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{4K7J2IFJK2GMIP7WGFHBQLNCVA}

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.

Cited by

1 paper in Pith

On n-distality, n-triviality and hypergraph regularity in NIP theories

Receipt and verification

First computed	2026-07-05T11:53:25.844516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2be9d20a9568cc43ff6314e182da2a8245015a82bbd776f1a397922cf2292f5

Aliases

arxiv: 2508.09969 · arxiv_version: 2508.09969v1 · doi: 10.48550/arxiv.2508.09969 · pith_short_12: 4K7J2IFJK2GM · pith_short_16: 4K7J2IFJK2GMIP7W · pith_short_8: 4K7J2IFJ

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/4K7J2IFJK2GMIP7WGFHBQLNCVA \
  | 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: e2be9d20a9568cc43ff6314e182da2a8245015a82bbd776f1a397922cf2292f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a4bdff406d1b66b71a73e63a3f81eb7005d6ba28b862de2b3ce9efd8edd6fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-13T17:36:13Z",
    "title_canon_sha256": "96dbef67004dc5a1864c0a1b5bcae61bcb16d8665675421c721525475901cd25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09969",
    "kind": "arxiv",
    "version": 1
  }
}