Pith Number

pith:RPFV2576

pith:2017:RPFV2576KMKP2DJ452JGSY7UB2

not attested not anchored not stored refs pending

Eigenvalues of Sturm-Liouville Operators with Distributional Potentials

Guoliang Shi, Jia Zhao, Jun Yan

arxiv:1711.07032 v1 · 2017-11-19 · 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{RPFV2576KMKP2DJ452JGSY7UB2}

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	2026-05-18T00:30:14.769502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bcb5d77fe5314fd0d3cee926963f40eb23fb97121a860121ecd21092df0b411

Aliases

arxiv: 1711.07032 · arxiv_version: 1711.07032v1 · doi: 10.48550/arxiv.1711.07032 · pith_short_12: RPFV2576KMKP · pith_short_16: RPFV2576KMKP2DJ4 · pith_short_8: RPFV2576

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/RPFV2576KMKP2DJ452JGSY7UB2 \
  | 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: 8bcb5d77fe5314fd0d3cee926963f40eb23fb97121a860121ecd21092df0b411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0722e73f1abfabb278c33b3490b51422d58d3d0974c1f9186dedade9625e3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-19T15:45:29Z",
    "title_canon_sha256": "f7fbd3a4077f7c6a1298f6d79ed75ca3c0204b03ec280bc2d23b68ac5413125a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07032",
    "kind": "arxiv",
    "version": 1
  }
}