Pith Number

pith:ZZ7OYTJ3

pith:2021:ZZ7OYTJ3RLJJJPJ3LG7TGQ7DMC

not attested not anchored not stored refs pending

Irregular triads in 3-uniform hypergraphs

C. Terry, J. Wolf

arxiv:2111.01737 v4 · 2021-11-02 · math.CO · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZ7OYTJ3RLJJJPJ3LG7TGQ7DMC}

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

3 papers in Pith

Higher-arity distality and forking triviality

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

Receipt and verification

First computed	2026-07-05T10:31:37.689604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7eec4d3b8ad294bd3b59bf3343e3608759aa5f7355c8621c491f4c47c5d539

Aliases

arxiv: 2111.01737 · arxiv_version: 2111.01737v4 · doi: 10.48550/arxiv.2111.01737 · pith_short_12: ZZ7OYTJ3RLJJ · pith_short_16: ZZ7OYTJ3RLJJJPJ3 · pith_short_8: ZZ7OYTJ3

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/ZZ7OYTJ3RLJJJPJ3LG7TGQ7DMC \
  | 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: ce7eec4d3b8ad294bd3b59bf3343e3608759aa5f7355c8621c491f4c47c5d539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afbdd8bc6f2ffd026aeb5ec5a7eb273e5a4d70eca98ea153d514eff2637ceff7",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-02T16:59:06Z",
    "title_canon_sha256": "a17d2cb7a23d1e2246a5ac7a17a9f8b32f457c0967123dc03ea258d3c0a59969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01737",
    "kind": "arxiv",
    "version": 4
  }
}