Pith Number

pith:LW2NWNGD

pith:2011:LW2NWNGD4V4RGBCMRIIYM6LUCH

not attested not anchored not stored refs pending

Quantum Walks on the Line with Phase Parameters

Marcos Villagra, Masaki Nakanishi, Shigeru Yamashita, Yasuhiko Nakashima

arxiv:1109.1866 v2 · 2011-09-09 · 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{LW2NWNGD4V4RGBCMRIIYM6LUCH}

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	2026-05-18T03:37:41.702762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db4db34c3e57913044c8a1186797411fadc60f82f0adb6d6f2e01c6ac3112e8

Aliases

arxiv: 1109.1866 · arxiv_version: 1109.1866v2 · doi: 10.48550/arxiv.1109.1866 · pith_short_12: LW2NWNGD4V4R · pith_short_16: LW2NWNGD4V4RGBCM · pith_short_8: LW2NWNGD

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/LW2NWNGD4V4RGBCMRIIYM6LUCH \
  | 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: 5db4db34c3e57913044c8a1186797411fadc60f82f0adb6d6f2e01c6ac3112e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e456a7a4d98ddb1ef41cde0dbac843dd8897630ba9174d0ff0d89b5a8b3fd8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-09T00:35:26Z",
    "title_canon_sha256": "f1091cb2a6a6803742d690376dd483f0286319be737331ba5d2784d849d6bde4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1866",
    "kind": "arxiv",
    "version": 2
  }
}