Pith Number

pith:VL56MQN7

pith:2010:VL56MQN7XGYBL7NXG744VWBFGL

not attested not anchored not stored refs pending

Inverse problems for Sturm--Liouville operators with potentials from Sobolev spaces. Uniform stability

A.A.Shkalikov, A.M.Savchuk

arxiv:1010.5916 v1 · 2010-10-28 · 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{VL56MQN7XGYBL7NXG744VWBFGL}

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	2026-05-18T04:38:14.965152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aafbe641bfb9b015fdb737f9cad82532d98faae92acc5e83e491d70cfaa0a8de

Aliases

arxiv: 1010.5916 · arxiv_version: 1010.5916v1 · doi: 10.48550/arxiv.1010.5916 · pith_short_12: VL56MQN7XGYB · pith_short_16: VL56MQN7XGYBL7NX · pith_short_8: VL56MQN7

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/VL56MQN7XGYBL7NXG744VWBFGL \
  | 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: aafbe641bfb9b015fdb737f9cad82532d98faae92acc5e83e491d70cfaa0a8de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40160219e38e9a83ded2efe37dc36eed075e95cc71c5e40a4d8daa07381f46f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-10-28T11:00:04Z",
    "title_canon_sha256": "9cef959d9f1a835959b40db12a316299be0e3fe089c0532cc63f087ae4c5a659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5916",
    "kind": "arxiv",
    "version": 1
  }
}