Pith Number

pith:HYDMICFB

pith:2013:HYDMICFBRAG6JBBIZRPO67SUDF

not attested not anchored not stored refs pending

The fractal dimensions of the spectrum of Sturm Hamiltonian

Qinghui Liu, Yanhui Qu, Zhiying Wen

arxiv:1310.1473 v1 · 2013-10-05 · 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{HYDMICFBRAG6JBBIZRPO67SUDF}

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	2026-05-18T01:22:43.868005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e06c408a1880de48428cc5eef7e54197446b11d50fd81366d9b39ccb46eb99e

Aliases

arxiv: 1310.1473 · arxiv_version: 1310.1473v1 · doi: 10.48550/arxiv.1310.1473 · pith_short_12: HYDMICFBRAG6 · pith_short_16: HYDMICFBRAG6JBBI · pith_short_8: HYDMICFB

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/HYDMICFBRAG6JBBIZRPO67SUDF \
  | 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: 3e06c408a1880de48428cc5eef7e54197446b11d50fd81366d9b39ccb46eb99e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b5b3fcff84d7e485e6a391b668e285db9be74966aa3a3c1daa9b4c3f3fc693",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-05T13:14:56Z",
    "title_canon_sha256": "65e0f553c11465b79379f5312c1962aa0d2edf4d452d60032d4c0a615c253b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1473",
    "kind": "arxiv",
    "version": 1
  }
}