Pith Number

pith:CK3T7IBV

pith:2014:CK3T7IBVUHHP3KSUNHGMPYUT2Q

not attested not anchored not stored refs pending

Almost Sure Frequency Independence of the Dimension of the Spectrum of Sturmian Hamiltonians

Anton Gorodetski (UC Irvine), David Damanik (Rice University)

arxiv:1406.4810 v2 · 2014-06-18 · math.SP · math-ph · math.DS · 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{CK3T7IBVUHHP3KSUNHGMPYUT2Q}

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	2026-05-18T02:03:37.633168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b73fa035a1cefdaa5469ccc7e293d4153d5c6201c73ec1b8a2d8831a24dae2

Aliases

arxiv: 1406.4810 · arxiv_version: 1406.4810v2 · doi: 10.48550/arxiv.1406.4810 · pith_short_12: CK3T7IBVUHHP · pith_short_16: CK3T7IBVUHHP3KSU · pith_short_8: CK3T7IBV

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/CK3T7IBVUHHP3KSUNHGMPYUT2Q \
  | 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: 12b73fa035a1cefdaa5469ccc7e293d4153d5c6201c73ec1b8a2d8831a24dae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d0fc0a34b5015390656dbd6033d732c01c39f7494cd105b43e4aeefe6ae0ca",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-18T17:53:02Z",
    "title_canon_sha256": "7b81d215d1365063d52277edd1920430bbdc9730c9777798ae8eeb7c02e304fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4810",
    "kind": "arxiv",
    "version": 2
  }
}