Pith Number

pith:PLZ7LPZX

pith:2010:PLZ7LPZXRQSPCXYHVQHVUD2B2H

not attested not anchored not stored refs pending

Scattering theory for CMV matrices: uniqueness, Helson--Szeg\H{o} and Strong Szeg\H{O} theorems

A. Kheifets, F. Peherstorfer, L. Golinskii, P. Yuditskii

arxiv:1008.3284 v1 · 2010-08-19 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PLZ7LPZXRQSPCXYHVQHVUD2B2H}

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	2026-05-18T04:42:02.989139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af3f5bf378c24f15f07ac0f5a0f41d1dd792325900ca647f69ce5831c6cc9ba

Aliases

arxiv: 1008.3284 · arxiv_version: 1008.3284v1 · doi: 10.48550/arxiv.1008.3284 · pith_short_12: PLZ7LPZXRQSP · pith_short_16: PLZ7LPZXRQSPCXYH · pith_short_8: PLZ7LPZX

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/PLZ7LPZXRQSPCXYHVQHVUD2B2H \
  | 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: 7af3f5bf378c24f15f07ac0f5a0f41d1dd792325900ca647f69ce5831c6cc9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dba431fd6902406ddfe2b7aa303d0bddbad2d64e8667b115cfa3719e21e4dea",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-08-19T12:08:00Z",
    "title_canon_sha256": "87aba338ae32d6502cdec369b9b10e072f1b4d3f8818d8152569828b8acc8d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3284",
    "kind": "arxiv",
    "version": 1
  }
}