Pith Number

pith:K7ZE3PEH

pith:2025:K7ZE3PEHNGESIWBUFVSNY66INA

not attested not anchored not stored refs pending

Pretty good fractional revival on abelian Cayley graphs

Akash Kalita, Bikash Bhattacharjya

arxiv:2503.20367 v4 · 2025-03-26 · 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{K7ZE3PEHNGESIWBUFVSNY66INA}

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

1 paper in Pith

State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

Receipt and verification

First computed	2026-07-09T01:20:34.487033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f24dbc8769892458342d64dc7bc8681987470a3cad0afe25c38d3a45d73224

Aliases

arxiv: 2503.20367 · arxiv_version: 2503.20367v4 · doi: 10.48550/arxiv.2503.20367 · pith_short_12: K7ZE3PEHNGES · pith_short_16: K7ZE3PEHNGESIWBU · pith_short_8: K7ZE3PEH

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/K7ZE3PEHNGESIWBUFVSNY66INA \
  | 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: 57f24dbc8769892458342d64dc7bc8681987470a3cad0afe25c38d3a45d73224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294c62f8fafb09f732ab126bb0ba17bafeeee9f7dc1503e7c01e1fbd784e54e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-26T09:44:03Z",
    "title_canon_sha256": "a027a6009b1b76c6b85970331cadca896f941c444486dff17e31d5e36bd942e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.20367",
    "kind": "arxiv",
    "version": 4
  }
}