Pith Number

pith:JLOLGMFV

pith:2018:JLOLGMFVMDGQKB3PCU67JVCO7L

not attested not anchored not stored refs pending

A representation of the transmutation kernels for the Schr\"odinger operator in terms of eigenfunctions and applications

Kira V. Khmelnytskaya, Sergii M. Torba, Vladislav V. Kravchenko

arxiv:1812.10513 v1 · 2018-12-26 · math.CA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLOLGMFVMDGQKB3PCU67JVCO7L}

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	2026-05-17T23:57:20.852281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adcb330b560cd05076f153df4d44efacb6848bb953bc1b758620ca460c7d4ea

Aliases

arxiv: 1812.10513 · arxiv_version: 1812.10513v1 · doi: 10.48550/arxiv.1812.10513 · pith_short_12: JLOLGMFVMDGQ · pith_short_16: JLOLGMFVMDGQKB3P · pith_short_8: JLOLGMFV

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/JLOLGMFVMDGQKB3PCU67JVCO7L \
  | 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: 4adcb330b560cd05076f153df4d44efacb6848bb953bc1b758620ca460c7d4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6b1713adb05c7fc483ad120d9a3451b27e74099ff9cb68203d7c48ac15b582",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-26T19:52:35Z",
    "title_canon_sha256": "8680a7d1378d7eb6386015ea7e38bccefc66f1609f7b936973c04f6ee6d06f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10513",
    "kind": "arxiv",
    "version": 1
  }
}