Pith Number

pith:ISANI25T

pith:2012:ISANI25TKPEET7QNLK5XNFWYRG

not attested not anchored not stored refs pending

The Density of States Measure of the Weakly Coupled Fibonacci Hamiltonian

Anton Gorodetski, David Damanik

arxiv:1206.5560 v1 · 2012-06-25 · math.SP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISANI25TKPEET7QNLK5XNFWYRG}

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	2026-05-18T02:26:39.589225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4480d46bb353c849fe0d5abb7696d8899f862fa6fe6a8c04bce91192073659c1

Aliases

arxiv: 1206.5560 · arxiv_version: 1206.5560v1 · doi: 10.48550/arxiv.1206.5560 · pith_short_12: ISANI25TKPEE · pith_short_16: ISANI25TKPEET7QN · pith_short_8: ISANI25T

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/ISANI25TKPEET7QNLK5XNFWYRG \
  | 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: 4480d46bb353c849fe0d5abb7696d8899f862fa6fe6a8c04bce91192073659c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1516ac44558e79aa1f223b9b5860e28ddf952b0fea70c4fd8ed51b4630301957",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-06-25T02:20:14Z",
    "title_canon_sha256": "0bf314917aaea9e6c335b16295bd858bb002cc20d15f84a0f81b52693b38315f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5560",
    "kind": "arxiv",
    "version": 1
  }
}