Pith Number

pith:DOBSROK6

pith:2005:DOBSROK6JJM3A6Z4GASW6ULEP2

not attested not anchored not stored refs pending

Limit periodic Jacobi matrices with a singular continuous spectrum and the renormalization of periodic matrices

A. Volberg, F. Peherstorfer, P. Yuditskii

arxiv:math-ph/0510019 v1 · 2005-10-06 · 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{DOBSROK6JJM3A6Z4GASW6ULEP2}

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	2026-05-18T01:05:30.061145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8328b95e4a59b07b3c30256f51647eae2857d91546db81af023b9867007922

Aliases

arxiv: math-ph/0510019 · arxiv_version: math-ph/0510019v1 · doi: 10.48550/arxiv.math-ph/0510019 · pith_short_12: DOBSROK6JJM3 · pith_short_16: DOBSROK6JJM3A6Z4 · pith_short_8: DOBSROK6

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/DOBSROK6JJM3A6Z4GASW6ULEP2 \
  | 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: 1b8328b95e4a59b07b3c30256f51647eae2857d91546db81af023b9867007922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e194f544509fd823e7abd50a1fb19df1ff5b7b35a175892c08bd745c7e3ede3",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-10-06T08:36:40Z",
    "title_canon_sha256": "49d8c3d3a8b37997a603306306654586564056b44a75b709b546538d8a62ecee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0510019",
    "kind": "arxiv",
    "version": 1
  }
}