Pith Number

pith:5FNMRPY7

pith:2026:5FNMRPY7H7FATIZCVA7HBB22D7

not attested not anchored not stored refs pending

Breaking of invariant curves: from the Fermi-Ulam map to the breathing circle billiard

Jos\'e Lamas, Stefano Mar\`o

arxiv:2605.19493 v1 · 2026-05-19 · 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{5FNMRPY7H7FATIZCVA7HBB22D7}

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	2026-05-20T01:05:48.496376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95ac8bf1f3fca09a322a83e70875a1fd65bc75a02fce5d54304a1839512519a

Aliases

arxiv: 2605.19493 · arxiv_version: 2605.19493v1 · doi: 10.48550/arxiv.2605.19493 · pith_short_12: 5FNMRPY7H7FA · pith_short_16: 5FNMRPY7H7FATIZC · pith_short_8: 5FNMRPY7

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/5FNMRPY7H7FATIZCVA7HBB22D7 \
  | 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: e95ac8bf1f3fca09a322a83e70875a1fd65bc75a02fce5d54304a1839512519a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306e3db260094c22ad2d758f9d44eb89a66909b2b7dc8a134ac9cd0a489524f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-19T07:48:04Z",
    "title_canon_sha256": "a19abf5b4c5f26418862f7923a410d4213cf77eb48b48f5d31dddbfd659d1547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19493",
    "kind": "arxiv",
    "version": 1
  }
}