Pith Number

pith:6LWQ6UJA

pith:2010:6LWQ6UJAXEDBAZRDFLGUE4V3A7

not attested not anchored not stored refs pending

Sharp spectral estimates for periodic matrix-valued Jacobi operators

Anton A. Kutsenko

arxiv:1007.5412 v4 · 2010-07-30 · math.FA · 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{6LWQ6UJAXEDBAZRDFLGUE4V3A7}

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	2026-05-18T04:35:14.646279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2ed0f5120b9061066232acd4272bb07e4fc6fc95882bbc8fd3fd981a9cdd7b4

Aliases

arxiv: 1007.5412 · arxiv_version: 1007.5412v4 · doi: 10.48550/arxiv.1007.5412 · pith_short_12: 6LWQ6UJAXEDB · pith_short_16: 6LWQ6UJAXEDBAZRD · pith_short_8: 6LWQ6UJA

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/6LWQ6UJAXEDBAZRDFLGUE4V3A7 \
  | 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: f2ed0f5120b9061066232acd4272bb07e4fc6fc95882bbc8fd3fd981a9cdd7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc497a08e691300f46bf4b24d7b5a8c89dc6f1e9bec38615c495f94c553ef844",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-30T10:58:14Z",
    "title_canon_sha256": "88e8acde8d9b3a0cdad24a4faf028fcbd4c0bf674c402a0b9b8790e35edc57ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5412",
    "kind": "arxiv",
    "version": 4
  }
}