Pith Number

pith:BHZ74NPU

pith:2007:BHZ74NPUBBTRHABW2ET5OUAONY

not attested not anchored not stored refs pending

Asymptotics of eigenvalues of Sturm--Liouville problem with discrete self-similar weight

A. A. Vladimirov, I. A. Sheipak

arxiv:0709.0424 v1 · 2007-09-04 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHZ74NPUBBTRHABW2ET5OUAONY}

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	2026-07-04T15:04:00.597610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f3fe35f40867138036d127d7500e6e0fa70f121d8fb63461949e93a77307c4

Aliases

arxiv: 0709.0424 · arxiv_version: 0709.0424v1 · doi: 10.48550/arxiv.0709.0424 · pith_short_12: BHZ74NPUBBTR · pith_short_16: BHZ74NPUBBTRHABW · pith_short_8: BHZ74NPU

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/BHZ74NPUBBTRHABW2ET5OUAONY \
  | 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: 09f3fe35f40867138036d127d7500e6e0fa70f121d8fb63461949e93a77307c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ab9f20aaf8606a98bcca13f75f342700b41a2c907071d2018a705d6d70d8e9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-09-04T19:59:58Z",
    "title_canon_sha256": "92e586862323d3e14c1d17098f1846f1024e3427ca065b6c712b85723a9f69c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0424",
    "kind": "arxiv",
    "version": 1
  }
}