Pith Number

pith:N4GK73AS

pith:2011:N4GK73ASYQ5EQHJEYOZXAP37SR

not attested not anchored not stored refs pending

Multifractals Competing with Solitons on Fibonacci Optical Lattice

H. Katsura, M. Kohmoto, M. Takahashi, T. Koma

arxiv:1110.6328 v3 · 2011-10-27 · cond-mat.quant-gas · 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{N4GK73ASYQ5EQHJEYOZXAP37SR}

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	2026-05-18T03:26:32.648575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0cafec12c43a481d24c3b3703f7f9459a8b847d87d6bd49126b082b453b900

Aliases

arxiv: 1110.6328 · arxiv_version: 1110.6328v3 · doi: 10.48550/arxiv.1110.6328 · pith_short_12: N4GK73ASYQ5E · pith_short_16: N4GK73ASYQ5EQHJE · pith_short_8: N4GK73AS

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/N4GK73ASYQ5EQHJEYOZXAP37SR \
  | 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: 6f0cafec12c43a481d24c3b3703f7f9459a8b847d87d6bd49126b082b453b900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbd3cf72df84b2e68d3ddc39a3ac10b638649665d757e959d757102b0d1c30c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2011-10-27T09:34:59Z",
    "title_canon_sha256": "821406fdf2e532c9c5d9ace5529c2fca217c697c2b36809815f507987d2ca447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6328",
    "kind": "arxiv",
    "version": 3
  }
}