Pith Number

pith:CGZEALDQ

pith:2008:CGZEALDQ3F4TA3QFF4OXCHH7RW

not attested not anchored not stored refs pending

Almost Periodic Szeg\H{o} Cocycles with Uniformly Positive Lyapunov Exponents

David Damanik, Helge Krueger

arxiv:0802.3547 v1 · 2008-02-24 · 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{CGZEALDQ3F4TA3QFF4OXCHH7RW}

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	2026-05-18T02:30:16.194251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b2402c70d979306e052f1d711cff8da95d7c29b24b0af9c53f2b928b38402d

Aliases

arxiv: 0802.3547 · arxiv_version: 0802.3547v1 · doi: 10.48550/arxiv.0802.3547 · pith_short_12: CGZEALDQ3F4T · pith_short_16: CGZEALDQ3F4TA3QF · pith_short_8: CGZEALDQ

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/CGZEALDQ3F4TA3QFF4OXCHH7RW \
  | 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: 11b2402c70d979306e052f1d711cff8da95d7c29b24b0af9c53f2b928b38402d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14bc103fc469175c4996e93873068a1db6e77d64e193568a8f97b21cc55aa132",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-02-24T23:18:24Z",
    "title_canon_sha256": "2259f73156de113bf2dc69e7b84203ff617fc20dba8a4ca07bf22454b1c38d6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3547",
    "kind": "arxiv",
    "version": 1
  }
}