Pith Number

pith:SLVS6ZBC

pith:2026:SLVS6ZBCWKIR3PS2VTOT5XACFC

not attested not anchored not stored refs pending

A Spectral Proof of the Hypergraph Moore Bound

Alexander Schmidhuber, Matthew B. Hastings

arxiv:2607.26028 v1 · 2026-07-28 · math.CO · cs.DM · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLVS6ZBCWKIR3PS2VTOT5XACFC}

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	2026-07-29T01:26:20.579452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92eb2f6422b2911dbe5aacdd3edc022893b9795cd2fdc6792a5e522ba02cebe6

Aliases

arxiv: 2607.26028 · arxiv_version: 2607.26028v1 · doi: 10.48550/arxiv.2607.26028 · pith_short_12: SLVS6ZBCWKIR · pith_short_16: SLVS6ZBCWKIR3PS2 · pith_short_8: SLVS6ZBC

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/SLVS6ZBCWKIR3PS2VTOT5XACFC \
  | 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: 92eb2f6422b2911dbe5aacdd3edc022893b9795cd2fdc6792a5e522ba02cebe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2268c81f1f62484c206fc3dbd3aa88a3c49a6bea10662166e9fdae4c1496c2fc",
    "cross_cats_sorted": [
      "cs.DM",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-28T17:38:31Z",
    "title_canon_sha256": "baf59a67cbbeb1c5721d4acacb8ea854c5dedb98dc7f533326bcbf39f6adfc04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26028",
    "kind": "arxiv",
    "version": 1
  }
}