Pith Number

pith:WG4WIO72

pith:2011:WG4WIO724TTCUSZUKMKVVXZSGQ

not attested not anchored not stored refs pending

Quantum Walks on Necklaces and Mixing

Daniel Nagaj, Maria Kieferova

arxiv:1111.4433 v2 · 2011-11-18 · 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{WG4WIO724TTCUSZUKMKVVXZSGQ}

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	2026-05-18T03:58:03.010503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b9643bfae4e62a4b3453155adf32343c4438f4da7dfbe6812bb9934ae83674

Aliases

arxiv: 1111.4433 · arxiv_version: 1111.4433v2 · doi: 10.48550/arxiv.1111.4433 · pith_short_12: WG4WIO724TTC · pith_short_16: WG4WIO724TTCUSZU · pith_short_8: WG4WIO72

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/WG4WIO724TTCUSZUKMKVVXZSGQ \
  | 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: b1b9643bfae4e62a4b3453155adf32343c4438f4da7dfbe6812bb9934ae83674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eff17aae49de7e8acfc9d0f035739cf5d6aa5823cd0f124b5c6fe6f70e5b26f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-18T17:17:29Z",
    "title_canon_sha256": "b2a2bc77e3fc815f82729b631bfc4ddbf5cc022e126efaa46b2fec681c371503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4433",
    "kind": "arxiv",
    "version": 2
  }
}