Pith Number

pith:NDJNOMLW

pith:2015:NDJNOMLWJSNKCVQ6NY7AE4SXIY

not attested not anchored not stored refs pending

A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions II: applications to Schr\"odinger operators

Hayato Chiba

arxiv:1505.06267 v1 · 2015-05-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDJNOMLWJSNKCVQ6NY7AE4SXIY}

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	2026-05-18T02:03:47.727026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d2d731764c9aa1561e6e3e027257463331123ae46f3b07282c513bb7926160

Aliases

arxiv: 1505.06267 · arxiv_version: 1505.06267v1 · doi: 10.48550/arxiv.1505.06267 · pith_short_12: NDJNOMLWJSNK · pith_short_16: NDJNOMLWJSNKCVQ6 · pith_short_8: NDJNOMLW

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/NDJNOMLWJSNKCVQ6NY7AE4SXIY \
  | 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: 68d2d731764c9aa1561e6e3e027257463331123ae46f3b07282c513bb7926160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "103a4d8286453c52cb00ad3cd2d676b35f7659907d39c0917ea8e126308dbee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-23T03:10:55Z",
    "title_canon_sha256": "f5a1ddb4d2ae33fedb7c9baec2505a625c41a2a034e751575452e68ac3086124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06267",
    "kind": "arxiv",
    "version": 1
  }
}