Pith Number

pith:5YWUJD2C

pith:2011:5YWUJD2CYT3N3BWCRMK2JR3Q2T

not attested not anchored not stored refs pending

Asymptotic evolution of quantum walks on the $N$-cycle subject to decoherence on both the coin and position degrees of freedom

Chaobin Liu, Nelson Petulante

arxiv:1104.2653 v2 · 2011-04-14 · 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{5YWUJD2CYT3N3BWCRMK2JR3Q2T}

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	2026-05-18T04:17:24.768298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2d448f42c4f6dd86c28b15a4c770d4df08ba25121906c02715c3223b1a1ea2

Aliases

arxiv: 1104.2653 · arxiv_version: 1104.2653v2 · doi: 10.48550/arxiv.1104.2653 · pith_short_12: 5YWUJD2CYT3N · pith_short_16: 5YWUJD2CYT3N3BWC · pith_short_8: 5YWUJD2C

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/5YWUJD2CYT3N3BWCRMK2JR3Q2T \
  | 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: ee2d448f42c4f6dd86c28b15a4c770d4df08ba25121906c02715c3223b1a1ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752761994fb0ea36a29fb6854475a7215b300ae6ecfaea7ac4412fc1dfc24e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-14T02:08:44Z",
    "title_canon_sha256": "84792c2b8196c56098a2e753110d9d2d48eb5745898b81029b17719651453201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2653",
    "kind": "arxiv",
    "version": 2
  }
}