Pith Number

pith:3SJ3TLNW

pith:2010:3SJ3TLNWH76OJ4GWPJAM6FC535

not attested not anchored not stored refs pending

The similarity problem for indefinite Sturm-Liouville operators with periodic coefficients

Aleksey Kostenko

arxiv:1004.3991 v3 · 2010-04-22 · math.SP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SJ3TLNWH76OJ4GWPJAM6FC535}

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	2026-05-18T04:05:16.049493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc93b9adb63ffce4f0d67a40cf145ddf7cb281b702b4b9bffcaa4f24c2203be7

Aliases

arxiv: 1004.3991 · arxiv_version: 1004.3991v3 · doi: 10.48550/arxiv.1004.3991 · pith_short_12: 3SJ3TLNWH76O · pith_short_16: 3SJ3TLNWH76OJ4GW · pith_short_8: 3SJ3TLNW

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/3SJ3TLNWH76OJ4GWPJAM6FC535 \
  | 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: dc93b9adb63ffce4f0d67a40cf145ddf7cb281b702b4b9bffcaa4f24c2203be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e784730a797962aa5505cfabc18eb985983b7e811dc08a07bebd9981c744550",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-04-22T19:24:26Z",
    "title_canon_sha256": "d61bcdd0eb849000836d430aedf244f44aa3cbee3bfbd89e083f564819ac680f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3991",
    "kind": "arxiv",
    "version": 3
  }
}