Pith Number

pith:TBHYX5H3

pith:2026:TBHYX5H3NGEC4NNFMPHQVJWOMI

not attested not anchored not stored refs pending

Vertex-transitive quantum graphs

Andre Kornell, Mac Hayes, Remi Salinas Schmeis, Trevor Jess

arxiv:2605.30730 v1 · 2026-05-29 · math.OA · math.CO · math.QA · 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{TBHYX5H3NGEC4NNFMPHQVJWOMI}

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	2026-06-01T01:03:12.828610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984f8bf4fb69882e35a563cf0aa6ce62180dbb8fe802738cc9491582b2e62621

Aliases

arxiv: 2605.30730 · arxiv_version: 2605.30730v1 · doi: 10.48550/arxiv.2605.30730 · pith_short_12: TBHYX5H3NGEC · pith_short_16: TBHYX5H3NGEC4NNF · pith_short_8: TBHYX5H3

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/TBHYX5H3NGEC4NNFMPHQVJWOMI \
  | 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: 984f8bf4fb69882e35a563cf0aa6ce62180dbb8fe802738cc9491582b2e62621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b7e84be19ea7df99caea11ed07a7c593077b9c3c93237d929414c22213db410",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-05-29T01:46:18Z",
    "title_canon_sha256": "9626e2520498dc024eb488571153235c726aea2c07f1d9fe18c45759efdeba36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30730",
    "kind": "arxiv",
    "version": 1
  }
}