Pith Number

pith:QGFKI4LC

pith:2025:QGFKI4LC7VUUCPOPSQRDS5WTBH

not attested not anchored not stored refs pending

Birkhoff attractors for dissipative symplectic billiards

Alessandra Nardi, Anna Florio, Luca Baracco, Olga Bernardi

arxiv:2509.13086 v1 · 2025-09-16 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGFKI4LC7VUUCPOPSQRDS5WTBH}

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	2026-08-04T02:08:17.575852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818aa47162fd69413dcf94223976d309f8707a62023be042c3fb9608c4321a83

Aliases

arxiv: 2509.13086 · arxiv_version: 2509.13086v1 · doi: 10.48550/arxiv.2509.13086 · pith_short_12: QGFKI4LC7VUU · pith_short_16: QGFKI4LC7VUUCPOP · pith_short_8: QGFKI4LC

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/QGFKI4LC7VUUCPOPSQRDS5WTBH \
  | 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: 818aa47162fd69413dcf94223976d309f8707a62023be042c3fb9608c4321a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e88926d4a1f8c5ba5fe1cb533d50a482e53eeae757381b011a2364ff452cff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-09-16T13:40:39Z",
    "title_canon_sha256": "a593d0e65800ed073f2b518b3f5023354c255a487b90dd8d4eb5c8c7a0e9eff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.13086",
    "kind": "arxiv",
    "version": 1
  }
}