Pith Number

pith:VPSAFDSO

pith:2004:VPSAFDSO2GYRS6KIVV557QUY54

not attested not anchored not stored refs pending

A Condition of Boshernitzan and Uniform Convergence in the Multiplicative Ergodic Theorem

Daniel Lenz, David Damanik

arxiv:math/0403190 v1 · 2004-03-11 · math.DS · 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{VPSAFDSO2GYRS6KIVV557QUY54}

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	2026-05-18T02:30:16.500618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe4028e4ed1b1197948ad7bdfc298ef3210f65a05ea65b3992f9aae40fcad48

Aliases

arxiv: math/0403190 · arxiv_version: math/0403190v1 · doi: 10.48550/arxiv.math/0403190 · pith_short_12: VPSAFDSO2GYR · pith_short_16: VPSAFDSO2GYRS6KI · pith_short_8: VPSAFDSO

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/VPSAFDSO2GYRS6KIVV557QUY54 \
  | 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: abe4028e4ed1b1197948ad7bdfc298ef3210f65a05ea65b3992f9aae40fcad48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66b313745bce081bd919f0a9ebb34bdcb48625ab769a857c814c798b487fad2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-03-11T00:10:18Z",
    "title_canon_sha256": "ccbbf1773a1336d354347879230a0de4754daf4f0dfb6f00e170c0fb7e00656d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403190",
    "kind": "arxiv",
    "version": 1
  }
}