Pith Number

pith:RYCUPTAA

pith:2014:RYCUPTAA5G3GHRFRP3PE2KUGOH

not attested not anchored not stored refs pending

On the Hausdorff dimension of the spectrum of Thue-Morse Hamiltonian

Qinghui Liu, Yanhui Qu

arxiv:1410.1856 v1 · 2014-09-17 · 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{RYCUPTAA5G3GHRFRP3PE2KUGOH}

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	2026-05-18T01:55:59.907082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0547cc00e9b663c4b17ede4d2a8671fd5d5243bfb1ee8b4cb9f8e618f2bc34

Aliases

arxiv: 1410.1856 · arxiv_version: 1410.1856v1 · doi: 10.48550/arxiv.1410.1856 · pith_short_12: RYCUPTAA5G3G · pith_short_16: RYCUPTAA5G3GHRFR · pith_short_8: RYCUPTAA

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/RYCUPTAA5G3GHRFRP3PE2KUGOH \
  | 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: 8e0547cc00e9b663c4b17ede4d2a8671fd5d5243bfb1ee8b4cb9f8e618f2bc34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5797ec576a352bcc3172e0016e85859c4325b33bce3d77ea47f13f83d41bf3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-17T05:35:20Z",
    "title_canon_sha256": "4e7560bfb0ddcdec8c4a9ac78cca50809d2a08356451eceb9d01111de7c99e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1856",
    "kind": "arxiv",
    "version": 1
  }
}