Pith Number

pith:TWSEETNT

pith:2019:TWSEETNTL5EZ7VCI7EMSDMD3L6

not attested not anchored not stored refs pending

On the Second-order Frechet Derivatives of Eigenvalues of Sturm-Liouville Problems in Potentials

Guixin Xu, Meirong Zhang, Shuyuan Guo

arxiv:1903.07794 v1 · 2019-03-19 · 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{TWSEETNTL5EZ7VCI7EMSDMD3L6}

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	2026-05-17T23:50:53.920910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da4424db35f499fd448f91921b07b5fa81067092e7c0922544db85fa4af95f6

Aliases

arxiv: 1903.07794 · arxiv_version: 1903.07794v1 · doi: 10.48550/arxiv.1903.07794 · pith_short_12: TWSEETNTL5EZ · pith_short_16: TWSEETNTL5EZ7VCI · pith_short_8: TWSEETNT

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/TWSEETNTL5EZ7VCI7EMSDMD3L6 \
  | 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: 9da4424db35f499fd448f91921b07b5fa81067092e7c0922544db85fa4af95f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2630fe9f5e185b9b9db482a2f7bc3a9dd7197da0e89f83a425837705908e8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-19T02:13:19Z",
    "title_canon_sha256": "cd428cf406ff9538013f12e09e6f9da37d5bf676a88c85cc515e39a8f299d4c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07794",
    "kind": "arxiv",
    "version": 1
  }
}