Pith Number

pith:R5FNKRQM

pith:2009:R5FNKRQME2SKMMNNEAQNZEAPR4

not attested not anchored not stored refs pending

Continuous-Time Classical and Quantum Random Walk on Direct Product of Cayley Graphs

M. A. Jafarizadeh, S. Salimi

arxiv:0904.2057 v1 · 2009-04-14 · 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{R5FNKRQME2SKMMNNEAQNZEAPR4}

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	2026-05-18T02:14:06.128719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4ad5460c26a4a631ad2020dc900f8f2ac30c7cc93146bb19bec05e00469cdf

Aliases

arxiv: 0904.2057 · arxiv_version: 0904.2057v1 · doi: 10.48550/arxiv.0904.2057 · pith_short_12: R5FNKRQME2SK · pith_short_16: R5FNKRQME2SKMMNN · pith_short_8: R5FNKRQM

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/R5FNKRQME2SKMMNNEAQNZEAPR4 \
  | 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: 8f4ad5460c26a4a631ad2020dc900f8f2ac30c7cc93146bb19bec05e00469cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8552694453c68657f21062f8cbe4339a76810ab4ee0ff275ed3507aa90db2cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-04-14T06:34:44Z",
    "title_canon_sha256": "18a920cb4d95616b3f45390bbdcb56802a5d59a50a14f48e6752e710d96c16d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2057",
    "kind": "arxiv",
    "version": 1
  }
}