Pith Number

pith:V3B5G7CX

pith:2014:V3B5G7CXCMPAXE4KFGGFHACPKN

not attested not anchored not stored refs pending

Uniform Hyperbolicity for Szeg\H{o} Cocycles and Applications to Random CMV Matrices and the Ising Model

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

arxiv:1404.7065 v2 · 2014-04-28 · math-ph · math.DS · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3B5G7CXCMPAXE4KFGGFHACPKN}

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	2026-05-18T01:16:33.578241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec3d37c57131e0b938a298c53804f535d7cfecb16de7042062eaaf5b02aa72f

Aliases

arxiv: 1404.7065 · arxiv_version: 1404.7065v2 · doi: 10.48550/arxiv.1404.7065 · pith_short_12: V3B5G7CXCMPA · pith_short_16: V3B5G7CXCMPAXE4K · pith_short_8: V3B5G7CX

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/V3B5G7CXCMPAXE4KFGGFHACPKN \
  | 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: aec3d37c57131e0b938a298c53804f535d7cfecb16de7042062eaaf5b02aa72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5ad13156c2bca00b95c056ca79976f00921317bbd47f4d0710cc6ffe653530",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-28T17:30:44Z",
    "title_canon_sha256": "8367d2ed477ecddb0bad3a9380fa1af855d7c75e8f4261ced269f20358b0ef48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7065",
    "kind": "arxiv",
    "version": 2
  }
}