Pith Number

pith:BOPTKSQO

pith:2012:BOPTKSQOKDPDJVXRVWH5X5FGOD

not attested not anchored not stored refs pending

On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems

Aleksey Kostenko

arxiv:1202.2444 v1 · 2012-02-11 · 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{BOPTKSQOKDPDJVXRVWH5X5FGOD}

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	2026-05-18T01:22:58.196019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9f354a0e50de34d6f1ad8fdbf4a670d83faa6ff337d8e35766c7708c920caf

Aliases

arxiv: 1202.2444 · arxiv_version: 1202.2444v1 · doi: 10.48550/arxiv.1202.2444 · pith_short_12: BOPTKSQOKDPD · pith_short_16: BOPTKSQOKDPDJVXR · pith_short_8: BOPTKSQO

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/BOPTKSQOKDPDJVXRVWH5X5FGOD \
  | 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: 0b9f354a0e50de34d6f1ad8fdbf4a670d83faa6ff337d8e35766c7708c920caf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af491ba009651c27ab506a8e340809b7d95b417475cc2c74053a8a88616c326",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-11T14:02:06Z",
    "title_canon_sha256": "eb24fa479020e49ecea96bff17a6c74fba0fcad8007a3896d7a789b90921c1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2444",
    "kind": "arxiv",
    "version": 1
  }
}