Pith Number

pith:ODIDNGUN

pith:2019:ODIDNGUNJSDUUT7AGCNUIFYKUK

not attested not anchored not stored refs pending

Discrete Sturm-Liouville problems: singularity of the $n$-th eigenvalue with application to Atkinson type

Guojing Ren, Hao Zhu

arxiv:1901.09375 v1 · 2019-01-27 · 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{ODIDNGUNJSDUUT7AGCNUIFYKUK}

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	2026-05-17T23:55:24.954566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d0369a8d4c874a4fe0309b44170aa2837f925628175dc41f12f80a49b6ca5a

Aliases

arxiv: 1901.09375 · arxiv_version: 1901.09375v1 · doi: 10.48550/arxiv.1901.09375 · pith_short_12: ODIDNGUNJSDU · pith_short_16: ODIDNGUNJSDUUT7A · pith_short_8: ODIDNGUN

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/ODIDNGUNJSDUUT7AGCNUIFYKUK \
  | 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: 70d0369a8d4c874a4fe0309b44170aa2837f925628175dc41f12f80a49b6ca5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c0121fb38226a6fee0129fa6cd3797838aa2973899abe5e2fb4a744e0260fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-01-27T13:55:21Z",
    "title_canon_sha256": "6b1bf57262341be96e3fb7c3fa69e225d296736687f0091cf8a0e1f71b619e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09375",
    "kind": "arxiv",
    "version": 1
  }
}