Pith Number

pith:IKBOJHEG

pith:2010:IKBOJHEGDQ4UFFZSRMBQVCOLCQ

not attested not anchored not stored refs pending

Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality

Hosho Katsura, Yutaka Shikano

arxiv:1004.5394 v2 · 2010-04-29 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech · 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{IKBOJHEGDQ4UFFZSRMBQVCOLCQ}

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	2026-05-18T04:40:54.454215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4282e49c861c394297328b030a89cb142411a07388c0c6e28a03ac538cf59060

Aliases

arxiv: 1004.5394 · arxiv_version: 1004.5394v2 · doi: 10.48550/arxiv.1004.5394 · pith_short_12: IKBOJHEGDQ4U · pith_short_16: IKBOJHEGDQ4UFFZS · pith_short_8: IKBOJHEG

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/IKBOJHEGDQ4UFFZSRMBQVCOLCQ \
  | 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: 4282e49c861c394297328b030a89cb142411a07388c0c6e28a03ac538cf59060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73ec7e34f3e85de5d40156a416454e389f3043f7b9c740d329f6a27d892a761",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-29T20:31:29Z",
    "title_canon_sha256": "d92d42fc65c3b6a12cd69b0e5d12a3d280c3fb9fd6c02fe1a80e45db9ac91869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5394",
    "kind": "arxiv",
    "version": 2
  }
}