Pith Number

pith:XIDZC4CR

pith:2019:XIDZC4CRBDZ6OLQRELLSGGS7E5

not attested not anchored not stored refs pending

Arnold Diffusion in Multi-Dimensional Convex Billiards

Andrew Clarke, Dmitry Turaev

arxiv:1906.07778 v4 · 2019-06-18 · 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{XIDZC4CRBDZ6OLQRELLSGGS7E5}

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.

Cited by

1 paper in Pith

Generic Properties of Geodesic Flows on Analytic Hypersurfaces of Euclidean Space

Receipt and verification

First computed	2026-07-05T04:41:08.476654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba0791705108f3e72e1122d7231a5f276a647130bab1175957d756b9fe9f5c95

Aliases

arxiv: 1906.07778 · arxiv_version: 1906.07778v4 · doi: 10.48550/arxiv.1906.07778 · pith_short_12: XIDZC4CRBDZ6 · pith_short_16: XIDZC4CRBDZ6OLQR · pith_short_8: XIDZC4CR

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/XIDZC4CRBDZ6OLQRELLSGGS7E5 \
  | 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: ba0791705108f3e72e1122d7231a5f276a647130bab1175957d756b9fe9f5c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d861d574429ba134ec0902765da7617246e1bdfaf59c2689006b88e901f2a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-18T19:26:28Z",
    "title_canon_sha256": "0dcf2b02ad778245e46b5fb5478d8a8a4cbdc9ee0873f84d8443b7163595a1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07778",
    "kind": "arxiv",
    "version": 4
  }
}