Pith Number

pith:CR7H54FD

pith:2023:CR7H54FDCXHLYFJS5HDN2QE3P7

not attested not anchored not stored refs pending

Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasiperiodic $M(2, \mathbb{C})$ cocycles

Matthew Powell

arxiv:2310.10472 v1 · 2023-10-16 · math-ph · math.DS · 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{CR7H54FDCXHLYFJS5HDN2QE3P7}

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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.

Cited by

1 paper in Pith

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Receipt and verification

First computed	2026-07-05T07:01:20.449559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147e7ef0a315cebc1532e9c6dd409b7ff0464918242e1a9e58f1446166de9428

Aliases

arxiv: 2310.10472 · arxiv_version: 2310.10472v1 · doi: 10.48550/arxiv.2310.10472 · pith_short_12: CR7H54FDCXHL · pith_short_16: CR7H54FDCXHLYFJS · pith_short_8: CR7H54FD

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/CR7H54FDCXHLYFJS5HDN2QE3P7 \
  | 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: 147e7ef0a315cebc1532e9c6dd409b7ff0464918242e1a9e58f1446166de9428

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc7080e0b212583139f1a8d8662fdf3aff716edf1b96fdb2316043b1ebed95d",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-10-16T14:52:08Z",
    "title_canon_sha256": "e1a934f9c5d6d85b4345264a5704a86ef7379a96e36de91376c7762199a10f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10472",
    "kind": "arxiv",
    "version": 1
  }
}