Pith Number

pith:NCSTPNQ2

pith:2012:NCSTPNQ2IXMSC2B3VBVE5LFFYW

not attested not anchored not stored refs pending

The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality

Aleksey Kostenko

arxiv:1207.2586 v1 · 2012-07-11 · math.SP · math.AP · 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{NCSTPNQ2IXMSC2B3VBVE5LFFYW}

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	2026-05-18T03:15:06.536484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a537b61a45d921683ba86a4eaca5c5ba4b6ec64912466d9caa74a5d7e7305f

Aliases

arxiv: 1207.2586 · arxiv_version: 1207.2586v1 · doi: 10.48550/arxiv.1207.2586 · pith_short_12: NCSTPNQ2IXMS · pith_short_16: NCSTPNQ2IXMSC2B3 · pith_short_8: NCSTPNQ2

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/NCSTPNQ2IXMSC2B3VBVE5LFFYW \
  | 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: 68a537b61a45d921683ba86a4eaca5c5ba4b6ec64912466d9caa74a5d7e7305f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f778fb066eb2bfeed5cf062eee41d30eedf6825d89b6dddae990a64356316473",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-07-11T10:38:32Z",
    "title_canon_sha256": "00a907b7c8f7ba6297d15285932fba1645fcef103f8f69f4c0b2cdc0bd61ff38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2586",
    "kind": "arxiv",
    "version": 1
  }
}