Pith Number

pith:KUH55TWN

pith:2007:KUH55TWNIAJNUWCRYDVMAUB46Z

not attested not anchored not stored refs pending

The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

Anton Gorodetski (Caltech), David Damanik (Rice), Mark Embree (Rice), Serguei Tcheremchantsev (Universite d'Orleans)

arxiv:0705.0338 v1 · 2007-05-02 · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KUH55TWNIAJNUWCRYDVMAUB46Z}

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	2026-05-18T02:30:33.072778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

550fdececd4012da5851c0eac0503cf67b27b1f2670e5d5b45809b06f869c548

Aliases

arxiv: 0705.0338 · arxiv_version: 0705.0338v1 · doi: 10.48550/arxiv.0705.0338 · pith_short_12: KUH55TWNIAJN · pith_short_16: KUH55TWNIAJNUWCR · pith_short_8: KUH55TWN

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/KUH55TWNIAJNUWCRYDVMAUB46Z \
  | 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: 550fdececd4012da5851c0eac0503cf67b27b1f2670e5d5b45809b06f869c548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade705abd3df9e89fdb1823468691a231e3f4fba77917f2d46c28feb015655d5",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-05-02T18:02:36Z",
    "title_canon_sha256": "ac2a35f8ad4349bafac2c42b7ecac6350d5ff6f8524e11be1331a07a51b6a8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0338",
    "kind": "arxiv",
    "version": 1
  }
}