Pith Number

pith:VUL4Q4SY

pith:2009:VUL4Q4SYSHNP2RQX2IXRCSHTAN

not attested not anchored not stored refs pending

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

I. M. Karabash

arxiv:0902.4900 v2 · 2009-02-27 · 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{VUL4Q4SYSHNP2RQX2IXRCSHTAN}

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	2026-05-18T04:01:00.265681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad17c8725891dafd4617d22f1148f3034ea06a8a08567f881727376cee994c8a

Aliases

arxiv: 0902.4900 · arxiv_version: 0902.4900v2 · doi: 10.48550/arxiv.0902.4900 · pith_short_12: VUL4Q4SYSHNP · pith_short_16: VUL4Q4SYSHNP2RQX · pith_short_8: VUL4Q4SY

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/VUL4Q4SYSHNP2RQX2IXRCSHTAN \
  | 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: ad17c8725891dafd4617d22f1148f3034ea06a8a08567f881727376cee994c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b132612586c53115b8bc25bc40317e20c6e582e00ecfb3246b0d2cd822a3846b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-02-27T20:24:26Z",
    "title_canon_sha256": "42ccba77c1780425478747a4c1168a98a015a8037e67272ce3f95adad8f3bc0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.4900",
    "kind": "arxiv",
    "version": 2
  }
}