Pith Number

pith:MPRINYMQ

pith:2013:MPRINYMQQOMMEFOVL2G7W2CP6B

not attested not anchored not stored refs pending

The generator and quantum Markov semigroup for quantum walks

Chul Ki Ko, Hyun Jae Yoo

arxiv:1305.1749 v1 · 2013-05-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPRINYMQQOMMEFOVL2G7W2CP6B}

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	2026-05-18T03:26:11.332094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e286e1908398c215d55e8dfb684ff045e8a06ff833abd1e1cf8f432567197a

Aliases

arxiv: 1305.1749 · arxiv_version: 1305.1749v1 · doi: 10.48550/arxiv.1305.1749 · pith_short_12: MPRINYMQQOMM · pith_short_16: MPRINYMQQOMMEFOV · pith_short_8: MPRINYMQ

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/MPRINYMQQOMMEFOVL2G7W2CP6B \
  | 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: 63e286e1908398c215d55e8dfb684ff045e8a06ff833abd1e1cf8f432567197a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee63ae58e1c93e8c8d0ef3d290d3085c1f647ff865b925cf13806d017f81ff9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-05-08T08:53:51Z",
    "title_canon_sha256": "1ca8dfb1c3066b00bab1dd60be3898eefdbf23189d015108a238e0fd516c159d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1749",
    "kind": "arxiv",
    "version": 1
  }
}