Pith Number

pith:OG34SMXI

pith:2010:OG34SMXI5POIO7HXLYIPJCC6LU

not attested not anchored not stored refs pending

Spectral estimates for 2D periodic Jacobi operators

Anton A. Kutsenko

arxiv:1011.5547 v2 · 2010-11-25 · math.FA · math-ph · 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{OG34SMXI5POIO7HXLYIPJCC6LU}

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	2026-05-18T04:34:36.585703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b7c932e8ebdc877cf75e10f4885e5d3e184b2d2f397272d3bbd1fc4226e0a1

Aliases

arxiv: 1011.5547 · arxiv_version: 1011.5547v2 · doi: 10.48550/arxiv.1011.5547 · pith_short_12: OG34SMXI5POI · pith_short_16: OG34SMXI5POIO7HX · pith_short_8: OG34SMXI

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/OG34SMXI5POIO7HXLYIPJCC6LU \
  | 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: 71b7c932e8ebdc877cf75e10f4885e5d3e184b2d2f397272d3bbd1fc4226e0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6eb96930b3d1fd7876019fd11949c377274a01323bbf5cd6b72acf97c3367c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-11-25T03:20:25Z",
    "title_canon_sha256": "ce509486c1ff96a3a9c5fef73ffc1087a5db142156eb46566fa45ade5cdefc2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5547",
    "kind": "arxiv",
    "version": 2
  }
}