Pith Number

pith:7VUJFDES

pith:2011:7VUJFDESVKDFDZK23UTBC7GWRF

not attested not anchored not stored refs pending

Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schr\"odinger Equations

I.V. Kamotski, V.A. Galaktionov

arxiv:1107.3067 v1 · 2011-07-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VUJFDESVKDFDZK23UTBC7GWRF}

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	2026-05-18T04:18:14.823275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd68928c92aa8651e55add26117cd6897c44bf60d0e92a81b27f0e77198022b9

Aliases

arxiv: 1107.3067 · arxiv_version: 1107.3067v1 · doi: 10.48550/arxiv.1107.3067 · pith_short_12: 7VUJFDESVKDF · pith_short_16: 7VUJFDESVKDFDZK2 · pith_short_8: 7VUJFDES

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/7VUJFDESVKDFDZK23UTBC7GWRF \
  | 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: fd68928c92aa8651e55add26117cd6897c44bf60d0e92a81b27f0e77198022b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd8477521741a751bc657a62db009fecd886181ab48d1987456cf9bda171b9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-15T13:53:10Z",
    "title_canon_sha256": "1d552ef3f0e47ac81a9d6ed2978c4b4e4544abb76b6d3e2f3b19ff4fd945c2e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3067",
    "kind": "arxiv",
    "version": 1
  }
}