Pith Number

pith:FN32ZED5

pith:2008:FN32ZED5YUUMTG46ZCQVLD6GW7

not attested not anchored not stored refs pending

Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows

Ian Melbourne, P\'eter B\'alint

arxiv:0805.3048 v1 · 2008-05-20 · 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{FN32ZED5YUUMTG46ZCQVLD6GW7}

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	2026-05-18T02:32:00.626070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b77ac907dc528c99b9ec8a1558fc6b7f5b67822f12cac8dc088fabd7e920964

Aliases

arxiv: 0805.3048 · arxiv_version: 0805.3048v1 · doi: 10.48550/arxiv.0805.3048 · pith_short_12: FN32ZED5YUUM · pith_short_16: FN32ZED5YUUMTG46 · pith_short_8: FN32ZED5

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/FN32ZED5YUUMTG46ZCQVLD6GW7 \
  | 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: 2b77ac907dc528c99b9ec8a1558fc6b7f5b67822f12cac8dc088fabd7e920964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916ec75611a84300fb1736102f49eef8dfeb3b6718848c9b9bd7d2d43d1212d1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-05-20T11:04:19Z",
    "title_canon_sha256": "8935b30a0475d44554134f7d38d4edde0c71175ffc351222ba9338c5c3cfee85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3048",
    "kind": "arxiv",
    "version": 1
  }
}