Pith Number

pith:YEE3FOZ4

pith:2001:YEE3FOZ4IUC43JCE6YM777ROPQ

not attested not anchored not stored refs pending

Lyapunov exponents in continuum Bernoulli-Anderson models

David Damanik (UCI), Gunter Stolz (UAB), Robert Sims (UAB)

arxiv:math-ph/0101011 v1 · 2001-01-11 · math-ph · 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{YEE3FOZ4IUC43JCE6YM777ROPQ}

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	2026-05-18T02:30:16.581006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c109b2bb3c4505cda444f619fffe2e7c10ef539444c53a749a65be7f8ef141b1

Aliases

arxiv: math-ph/0101011 · arxiv_version: math-ph/0101011v1 · doi: 10.48550/arxiv.math-ph/0101011 · pith_short_12: YEE3FOZ4IUC4 · pith_short_16: YEE3FOZ4IUC43JCE · pith_short_8: YEE3FOZ4

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/YEE3FOZ4IUC43JCE6YM777ROPQ \
  | 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: c109b2bb3c4505cda444f619fffe2e7c10ef539444c53a749a65be7f8ef141b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177b99d31df471f6007b283f62aeb5793f2143f74320b25a3784c131b1953230",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-01-11T02:10:24Z",
    "title_canon_sha256": "8dcabf03737d43b2e131986ddfeb2fd7e0a6dc892f262ea319d7ce07b5f8ad4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0101011",
    "kind": "arxiv",
    "version": 1
  }
}