Pith Number

pith:CSRMZVEA

pith:2014:CSRMZVEAJOITQGOUAEPOODW7FS

not attested not anchored not stored refs pending

Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices

David Damanik (Rice University), Jake Fillman (Rice University), Milivoje Lukic (University of Toronto, Rice University), William Yessen (Rice University)

arxiv:1409.6259 v3 · 2014-09-22 · math.SP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSRMZVEAJOITQGOUAEPOODW7FS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:55:04.494421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a2ccd4804b913819d4011ee70edf2ca5bf299210998ca608e08f2aada27c63

Aliases

arxiv: 1409.6259 · arxiv_version: 1409.6259v3 · doi: 10.48550/arxiv.1409.6259 · pith_short_12: CSRMZVEAJOIT · pith_short_16: CSRMZVEAJOITQGOU · pith_short_8: CSRMZVEA

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/CSRMZVEAJOITQGOUAEPOODW7FS \
  | 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: 14a2ccd4804b913819d4011ee70edf2ca5bf299210998ca608e08f2aada27c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57eef92990a76abc753192da7746532fb4699ff085c10c02d7cde21aecc3fa9e",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-22T17:48:18Z",
    "title_canon_sha256": "01216acc35ed08013de6b14ab3bb3810902b6cddd6f89e2be918a1aa94982b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6259",
    "kind": "arxiv",
    "version": 3
  }
}