Pith Number

pith:SRUYANUE

pith:2017:SRUYANUES36NRVNVGKRYO5PGRM

not attested not anchored not stored refs pending

Asymptotic periodicity in outer billiards with contraction

Jos\'e Pedro Gaiv\~ao

arxiv:1707.01151 v1 · 2017-07-04 · 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{SRUYANUES36NRVNVGKRYO5PGRM}

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	2026-05-18T00:40:53.551128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

946980368496fcd8d5b532a38775e68b3bca56b6feea6d31dd376b9aecfa28c8

Aliases

arxiv: 1707.01151 · arxiv_version: 1707.01151v1 · doi: 10.48550/arxiv.1707.01151 · pith_short_12: SRUYANUES36N · pith_short_16: SRUYANUES36NRVNV · pith_short_8: SRUYANUE

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/SRUYANUES36NRVNVGKRYO5PGRM \
  | 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: 946980368496fcd8d5b532a38775e68b3bca56b6feea6d31dd376b9aecfa28c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8135a903f50c8c13ffa50c80a991054baeec6adc6fd81f0eb781db04fc1a5f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-07-04T20:51:57Z",
    "title_canon_sha256": "40860dfb078aa10b8a948bea4baccae2581abe0b45e5c666e2ac203185e3799c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01151",
    "kind": "arxiv",
    "version": 1
  }
}