Pith Number

pith:TR5BOXL3

pith:2025:TR5BOXL36V53E5BAYBASEHTUM6

not attested not anchored not stored refs pending

Averages of hypergraphs and higher arity stability

Artem Chernikov, Henry Towsner

arxiv:2508.05839 v1 · 2025-08-07 · math.CO · math.LO · 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{TR5BOXL36V53E5BAYBASEHTUM6}

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	2026-07-05T11:50:44.188604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c7a175d7bf57bb27420c041221e746781a3d3539ab96b7294a7d3268f79cd48

Aliases

arxiv: 2508.05839 · arxiv_version: 2508.05839v1 · doi: 10.48550/arxiv.2508.05839 · pith_short_12: TR5BOXL36V53 · pith_short_16: TR5BOXL36V53E5BA · pith_short_8: TR5BOXL3

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/TR5BOXL36V53E5BAYBASEHTUM6 \
  | 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: 9c7a175d7bf57bb27420c041221e746781a3d3539ab96b7294a7d3268f79cd48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d384eca9a9c119f4e926f4dc7ac5472ddc8a351c759e327f5917a3261de87ab",
    "cross_cats_sorted": [
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-07T20:33:01Z",
    "title_canon_sha256": "5f5a124378ba99d4e680d5208a4b5bd0b12456598c0c87df374b7cb806598bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.05839",
    "kind": "arxiv",
    "version": 1
  }
}