Pith Number

pith:B5YA2B2D

pith:2012:B5YA2B2DL43EREMRI2V2AH2UDL

not attested not anchored not stored refs pending

An Estimate on the Number of Eigenvalues of a Quasiperiodic Jacobi Matrix of Size $n$ Contained in an Interval of Size $n^{-C}$

Ilia Binder, Mircea Voda

arxiv:1202.2915 v1 · 2012-02-14 · 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{B5YA2B2DL43EREMRI2V2AH2UDL}

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	2026-05-18T04:02:24.667958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f700d07435f3648919146aba01f541ad598d6f7862e534102a47bface294c5b

Aliases

arxiv: 1202.2915 · arxiv_version: 1202.2915v1 · doi: 10.48550/arxiv.1202.2915 · pith_short_12: B5YA2B2DL43E · pith_short_16: B5YA2B2DL43EREMR · pith_short_8: B5YA2B2D

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/B5YA2B2DL43EREMRI2V2AH2UDL \
  | 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: 0f700d07435f3648919146aba01f541ad598d6f7862e534102a47bface294c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac42d3858f85e92602fc7de639a466d8131aec10510ead92fcf920b5ab37f4b2",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-14T02:58:45Z",
    "title_canon_sha256": "2c1bd0aace41c7bbe48bbb92db2c9a65d56e8f4cc4b2e0e634a4abd862640292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2915",
    "kind": "arxiv",
    "version": 1
  }
}