Pith Number

pith:V5FINXEQ

pith:2015:V5FINXEQVSDYD6OUNVYRWBOPNX

not attested not anchored not stored refs pending

Hyperbolic polygonal billiards with finitely many ergodic SRB measures

Gianluigi Del Magno, Jo\~ao Lopes Dias, Jos\'e Pedro Gaiv\~ao, Pedro Duarte

arxiv:1507.06250 v1 · 2015-07-22 · 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{V5FINXEQVSDYD6OUNVYRWBOPNX}

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	2026-05-18T01:36:26.308619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af4a86dc90ac8781f9d46d711b05cf6de7f5832a21f353675c1b36fb1678be4f

Aliases

arxiv: 1507.06250 · arxiv_version: 1507.06250v1 · doi: 10.48550/arxiv.1507.06250 · pith_short_12: V5FINXEQVSDY · pith_short_16: V5FINXEQVSDYD6OU · pith_short_8: V5FINXEQ

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/V5FINXEQVSDYD6OUNVYRWBOPNX \
  | 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: af4a86dc90ac8781f9d46d711b05cf6de7f5832a21f353675c1b36fb1678be4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c537491e1c4f4bf33a6f0a0615380a34c1f795d8c17d1ae07891774f42fd57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-22T16:41:01Z",
    "title_canon_sha256": "b3411a2a79e2d267a354b9a0aac081a96e2b0a1468a593754c9cedc08f451794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06250",
    "kind": "arxiv",
    "version": 1
  }
}