Pith Number

pith:VOFGOYYK

pith:2001:VOFGOYYK7OUZCMEG2WXQH222QA

not attested not anchored not stored refs pending

Scattering and wave operators for one-dimensional Schr\"odinger operators with slowly decaying nonsmooth potentials

A. Kiselev, M. Christ

arxiv:math/0110140 v1 · 2001-10-13 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOFGOYYK7OUZCMEG2WXQH222QA}

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	2026-07-04T14:35:33.915223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab8a67630afba9913086d5af03eb5a801682fde90a32d51f721e93eece66b687

Aliases

arxiv: math/0110140 · arxiv_version: math/0110140v1 · doi: 10.48550/arxiv.math/0110140 · pith_short_12: VOFGOYYK7OUZ · pith_short_16: VOFGOYYK7OUZCMEG · pith_short_8: VOFGOYYK

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/VOFGOYYK7OUZCMEG2WXQH222QA \
  | 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: ab8a67630afba9913086d5af03eb5a801682fde90a32d51f721e93eece66b687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c967582e4cd0ec78d9ed2849b33529cbe10cc760f4196a2fdc8631f627fa07",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2001-10-13T22:07:55Z",
    "title_canon_sha256": "5afb6a640d882edb5c925865cc69de77ccf01867a892ec4647358d5098297977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110140",
    "kind": "arxiv",
    "version": 1
  }
}