Pith Number

pith:JBQKKJPR

pith:1997:JBQKKJPRXB5JI5SR26EKEQVSLT

not attested not anchored not stored refs pending

Absolutely continuous spectrum for one-dimensional Schr\"odinger operators with slowly decaying potentials: some optimal results

Alexander Kiselev, Michael Christ

arxiv:math/9706221 v1 · 1997-06-26 · 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{JBQKKJPRXB5JI5SR26EKEQVSLT}

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	2026-05-18T01:05:35.149040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4860a525f1b87a947651d788a242b25ccc036ade0c31fb20b46db08cfb44d941

Aliases

arxiv: math/9706221 · arxiv_version: math/9706221v1 · doi: 10.48550/arxiv.math/9706221 · pith_short_12: JBQKKJPRXB5J · pith_short_16: JBQKKJPRXB5JI5SR · pith_short_8: JBQKKJPR

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/JBQKKJPRXB5JI5SR26EKEQVSLT \
  | 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: 4860a525f1b87a947651d788a242b25ccc036ade0c31fb20b46db08cfb44d941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7ea6b7a3acfd8a304bacccdc25818d2403a8682a43be0b9128d1318a7bfb8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "1997-06-26T00:00:00Z",
    "title_canon_sha256": "eadd8ae75324f5dd29351dbcb9a0201a43eedabaee95715618eb1b520e5e5838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9706221",
    "kind": "arxiv",
    "version": 1
  }
}