Pith Number

pith:3BAVWCJZ

pith:2024:3BAVWCJZVKNXOS4PBOB6FYWPUF

not attested not anchored not stored refs pending

Periodicity and perfect state transfer of Grover walks on quadratic unitary Cayley graphs

Bikash Bhattacharjya, Koushik Bhakta

arxiv:2408.08715 v2 · 2024-08-16 · 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{3BAVWCJZVKNXOS4PBOB6FYWPUF}

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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 in Grover walks on unitary and quadratic unitary Cayley graphs over finite commutative rings

Receipt and verification

First computed	2026-07-05T11:51:16.823137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8415b0939aa9b774b8f0b83e2e2cfa17d4cbe5acb199a2bc81bd7afa9942c80

Aliases

arxiv: 2408.08715 · arxiv_version: 2408.08715v2 · doi: 10.48550/arxiv.2408.08715 · pith_short_12: 3BAVWCJZVKNX · pith_short_16: 3BAVWCJZVKNXOS4P · pith_short_8: 3BAVWCJZ

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/3BAVWCJZVKNXOS4PBOB6FYWPUF \
  | 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: d8415b0939aa9b774b8f0b83e2e2cfa17d4cbe5acb199a2bc81bd7afa9942c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eb902e9f6d2a47784c4ef00beedf45f821b831a4a1c885233bd47eebd7b8506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-16T12:54:12Z",
    "title_canon_sha256": "fc5ebb1d4cd6c50004eed30165959c02c3ca02c3cc67cdbeebc6329fdbd3f9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08715",
    "kind": "arxiv",
    "version": 2
  }
}