Pith Number

pith:53ZXZWI6

pith:2013:53ZXZWI6VFHU4OQTZUOQS4JZ2Y

not attested not anchored not stored refs pending

Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence

Derek Y.H. Ho, Hailong Wang, Jiangbin Gong, Jiao Wang, Wayne Lawton

arxiv:1306.6128 v2 · 2013-06-26 · nlin.CD · math-ph · math.MP · 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{53ZXZWI6VFHU4OQTZUOQS4JZ2Y}

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	2026-05-18T03:05:44.301931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef37cd91ea94f4e3a13cd1d097139d603cff929a9a4f7c0e250c5a458aeafab

Aliases

arxiv: 1306.6128 · arxiv_version: 1306.6128v2 · doi: 10.48550/arxiv.1306.6128 · pith_short_12: 53ZXZWI6VFHU · pith_short_16: 53ZXZWI6VFHU4OQT · pith_short_8: 53ZXZWI6

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/53ZXZWI6VFHU4OQTZUOQS4JZ2Y \
  | 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: eef37cd91ea94f4e3a13cd1d097139d603cff929a9a4f7c0e250c5a458aeafab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8745ecbf1dbe95fdb2f377a58739dbd95fd0fcc1434408bde9828670d29684c1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2013-06-26T04:55:46Z",
    "title_canon_sha256": "2848c880862647c9698b3a5cd90f63f3092f306dfc921f81c9e09d72fa1155d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6128",
    "kind": "arxiv",
    "version": 2
  }
}