Pith Number

pith:FDATC4NO

pith:2018:FDATC4NOGNLI6Q43UZWYZVD4ZY

not attested not anchored not stored refs pending

Marked Length Spectrum, homoclinic orbits and the geometry of open dispersing billiards

Jacopo De Simoi, Martin Leguil, P\'eter B\'alint, Vadim Kaloshin

arxiv:1809.08947 v3 · 2018-09-24 · 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{FDATC4NOGNLI6Q43UZWYZVD4ZY}

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	2026-05-17T23:44:13.094022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c13171ae33568f439ba66d8cd47cce3781b26bf4c9da746d25061694691336

Aliases

arxiv: 1809.08947 · arxiv_version: 1809.08947v3 · doi: 10.48550/arxiv.1809.08947 · pith_short_12: FDATC4NOGNLI · pith_short_16: FDATC4NOGNLI6Q43 · pith_short_8: FDATC4NO

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/FDATC4NOGNLI6Q43UZWYZVD4ZY \
  | 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: 28c13171ae33568f439ba66d8cd47cce3781b26bf4c9da746d25061694691336

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4eb5aa12491d855bda76ba48172d9dd08fd30a69c0641bee7556e12d58532f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-09-24T14:06:38Z",
    "title_canon_sha256": "42150a32d0f7f65df22667a9b3f80c9d8652da462e5205a3da1c86a3e5082272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08947",
    "kind": "arxiv",
    "version": 3
  }
}