Pith Number

pith:IOAO7OEL

pith:2025:IOAO7OELBE7I5NUVAQIYLNGDGH

not attested not anchored not stored refs pending

Perfect state transfer on gcd-graphs over a finite Frobenius ring

Nguyen Duy T\^an, Tung T. Nguyen

arxiv:2504.00404 v2 · 2025-04-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOAO7OELBE7I5NUVAQIYLNGDGH}

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	2026-06-29T00:13:59.671801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4380efb88b093e8eb695041185b4c331d55d8accabf6643192c40e81f4b09831

Aliases

arxiv: 2504.00404 · arxiv_version: 2504.00404v2 · doi: 10.48550/arxiv.2504.00404 · pith_short_12: IOAO7OELBE7I · pith_short_16: IOAO7OELBE7I5NUV · pith_short_8: IOAO7OEL

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/IOAO7OELBE7I5NUVAQIYLNGDGH \
  | 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: 4380efb88b093e8eb695041185b4c331d55d8accabf6643192c40e81f4b09831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3266d9f7f3a442c62156c70c8ee948f3330e3e1a38dcd5016dcf3d9cd70210",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-01T03:57:52Z",
    "title_canon_sha256": "2faebef3e35d6d81c3bb8d5f8528bd5f64d46be47b22e04e8207c1e47f82aeb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.00404",
    "kind": "arxiv",
    "version": 2
  }
}