Pith Number

pith:Y3GVPD43

pith:2026:Y3GVPD43JZEZLI4MX4GSPCHWJQ

not attested not anchored not stored refs pending

The even-uniform hypergraph Moore bound

Afonso S. Bandeira, Dmitriy Kunisky, Lucas Pesenti, Petar Nizi\'c-Nikolac, Robert Wang

arxiv:2607.14068 v1 · 2026-07-15 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3GVPD43JZEZLI4MX4GSPCHWJQ}

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	2026-07-16T01:23:22.952041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cd578f9b4e4995a38cbf0d2788f64c02a500d81fd0c9da53cd09e62367ed88

Aliases

arxiv: 2607.14068 · arxiv_version: 2607.14068v1 · doi: 10.48550/arxiv.2607.14068 · pith_short_12: Y3GVPD43JZEZ · pith_short_16: Y3GVPD43JZEZLI4M · pith_short_8: Y3GVPD43

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/Y3GVPD43JZEZLI4MX4GSPCHWJQ \
  | 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: c6cd578f9b4e4995a38cbf0d2788f64c02a500d81fd0c9da53cd09e62367ed88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "823c67a6ca375d40c927dd0b60ed42866611f009a05aa4f6e84e55c3cdd6473f",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-15T17:37:24Z",
    "title_canon_sha256": "9c19f19f321bb84dcd4aed48af9a64ea2909ad6444484ff24e3823ffc7cab823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14068",
    "kind": "arxiv",
    "version": 1
  }
}