Pith Number

pith:4JMN4VNI

pith:2017:4JMN4VNIWARTZVW7OE3AXTBAOS

not attested not anchored not stored refs pending

Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse

Carl P. Dettmann, Dmitry Turaev, Vitaly Fain

arxiv:1706.08623 v2 · 2017-06-26 · 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{4JMN4VNIWARTZVW7OE3AXTBAOS}

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	2026-05-18T00:04:45.385976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e258de55a8b0233cd6df71360bcc207483dd1c9baee552f27b3b6bdd13636818

Aliases

arxiv: 1706.08623 · arxiv_version: 1706.08623v2 · doi: 10.48550/arxiv.1706.08623 · pith_short_12: 4JMN4VNIWART · pith_short_16: 4JMN4VNIWARTZVW7 · pith_short_8: 4JMN4VNI

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/4JMN4VNIWARTZVW7OE3AXTBAOS \
  | 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: e258de55a8b0233cd6df71360bcc207483dd1c9baee552f27b3b6bdd13636818

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c95acac6e44bf554a5824890291f7759d259d68e1eef3b7fc657ce1a82ec6af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-26T23:07:57Z",
    "title_canon_sha256": "b1bb27ea8b48faaeea1a51e4795d57b3ed9bb79d86eff1b4e54e4e8c0aeb968c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08623",
    "kind": "arxiv",
    "version": 2
  }
}