Pith Number

pith:6XDVJ2SR

pith:2019:6XDVJ2SR3UASGTMKGFOBL7MCUH

not attested not anchored not stored refs pending

Localization Principle of the Spectral Expansions of Distributions Connected with Schrodinger Operator

Abdumalik Rakhimov, Anvarjon Ahmedov, Hishamuddin Zainuddin

arxiv:1907.08543 v1 · 2019-07-19 · math-ph · math.MP · 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{6XDVJ2SR3UASGTMKGFOBL7MCUH}

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	2026-05-17T23:40:09.456973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c754ea51dd01234d8a315c15fd82a1d3179c94dfdac53e63247df083655fae

Aliases

arxiv: 1907.08543 · arxiv_version: 1907.08543v1 · doi: 10.48550/arxiv.1907.08543 · pith_short_12: 6XDVJ2SR3UAS · pith_short_16: 6XDVJ2SR3UASGTMK · pith_short_8: 6XDVJ2SR

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/6XDVJ2SR3UASGTMKGFOBL7MCUH \
  | 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: f5c754ea51dd01234d8a315c15fd82a1d3179c94dfdac53e63247df083655fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3173d2e66a7ef5aa397ba8c580ee0faa79542c2b5455e984adff9ce8744ee88e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-19T15:20:49Z",
    "title_canon_sha256": "dd9c864ec733bf9dcc0e6cbd661e4874f52dd19314fcd30c1980efd573811d51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08543",
    "kind": "arxiv",
    "version": 1
  }
}