Pith Number

pith:XRMMHYB5

pith:2016:XRMMHYB5CORNK67V4LWEX5XAKE

not attested not anchored not stored refs pending

On polynomially integrable planar outer billiards and curves with symmetry property

Alexey Glutsyuk, Eugenii Shustin

arxiv:1607.07593 v3 · 2016-07-26 · math.DS · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRMMHYB5CORNK67V4LWEX5XAKE}

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	2026-05-18T00:12:46.067998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc58c3e03d13a2d57bf5e2ec4bf6e051291d0338ed84ff64497f9e149e19f898

Aliases

arxiv: 1607.07593 · arxiv_version: 1607.07593v3 · doi: 10.48550/arxiv.1607.07593 · pith_short_12: XRMMHYB5CORN · pith_short_16: XRMMHYB5CORNK67V · pith_short_8: XRMMHYB5

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/XRMMHYB5CORNK67V4LWEX5XAKE \
  | 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: bc58c3e03d13a2d57bf5e2ec4bf6e051291d0338ed84ff64497f9e149e19f898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ae53f177cef8d5753f0dda33c9da90fb03384e95d4c802a2fbba1af0398959",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-26T08:47:37Z",
    "title_canon_sha256": "0584bda7094daf0190c5e2b1c53eba0fa4f4c0cfbd5eee6835898bd165f03269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07593",
    "kind": "arxiv",
    "version": 3
  }
}