Pith Number

pith:2Z2PEYPV

pith:2026:2Z2PEYPV3L7DLLG27LPJSBYZLF

not attested not anchored not stored refs pending

Perfect state transfer in Grover walks on normal Cayley graphs

Bikash Bhattacharjya, Koushik Bhakta

arxiv:2607.19309 v1 · 2026-07-21 · quant-ph · 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{2Z2PEYPV3L7DLLG27LPJSBYZLF}

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	2026-07-22T01:24:35.883941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d674f261f5dafe35acdafade9907195957550423afa8c4351c1927995d1db1a9

Aliases

arxiv: 2607.19309 · arxiv_version: 2607.19309v1 · doi: 10.48550/arxiv.2607.19309 · pith_short_12: 2Z2PEYPV3L7D · pith_short_16: 2Z2PEYPV3L7DLLG2 · pith_short_8: 2Z2PEYPV

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/2Z2PEYPV3L7DLLG27LPJSBYZLF \
  | 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: d674f261f5dafe35acdafade9907195957550423afa8c4351c1927995d1db1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fabbe3a4fecbb7fd67b7201de3c500ec51dee83985a1d6ada11a3f5ed9028a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-21T17:23:56Z",
    "title_canon_sha256": "dedfd114f5e339d92d99a466ba04233c4006f94e60d158a2c08c2f476852271b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19309",
    "kind": "arxiv",
    "version": 1
  }
}