Pith Number

pith:AQNTPJJC

pith:2016:AQNTPJJCZIXWIFLTFYW52K3A6I

not attested not anchored not stored refs pending

Sums of regular Cantor sets of large dimension and the Square Fibonacci Hamiltonian

Anton Gorodetski, David Damanik

arxiv:1601.01639 v1 · 2016-01-07 · math.DS · 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{AQNTPJJCZIXWIFLTFYW52K3A6I}

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	2026-05-18T01:23:12.916709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041b37a522ca2f6415732e2ddd2b60f23e5b4655937baeb06ceb9cdcb28ead7c

Aliases

arxiv: 1601.01639 · arxiv_version: 1601.01639v1 · doi: 10.48550/arxiv.1601.01639 · pith_short_12: AQNTPJJCZIXW · pith_short_16: AQNTPJJCZIXWIFLT · pith_short_8: AQNTPJJC

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/AQNTPJJCZIXWIFLTFYW52K3A6I \
  | 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: 041b37a522ca2f6415732e2ddd2b60f23e5b4655937baeb06ceb9cdcb28ead7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f32d471014942806d1b1b06ab920ffd58401723c80a3a38903d67dc2de39ca4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-07T18:57:30Z",
    "title_canon_sha256": "59ea6f9f2cf539ef1a74e01b26180a66265934d6ed8eee11c487fcd685484862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01639",
    "kind": "arxiv",
    "version": 1
  }
}