Pith Number

pith:5FCEAKAL

pith:2016:5FCEAKALBU7T4MCXT5P3RJB523

not attested not anchored not stored refs pending

Minimizing length of billiard trajectories in hyperbolic polygons

John R. Parker, Karl Friedrich Siburg, Norbert Peyerimhoff

arxiv:1607.07383 v1 · 2016-07-25 · 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{5FCEAKALBU7T4MCXT5P3RJB523}

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	2026-05-18T01:10:34.079375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e94440280b0d3f3e30579f5fb8a43dd6d1be9dcc4e57fa87596230e8f9629144

Aliases

arxiv: 1607.07383 · arxiv_version: 1607.07383v1 · doi: 10.48550/arxiv.1607.07383 · pith_short_12: 5FCEAKALBU7T · pith_short_16: 5FCEAKALBU7T4MCX · pith_short_8: 5FCEAKAL

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/5FCEAKALBU7T4MCXT5P3RJB523 \
  | 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: e94440280b0d3f3e30579f5fb8a43dd6d1be9dcc4e57fa87596230e8f9629144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9359d9e551e73a05fa33fdfffa883760f5ef2253e8b159fe5271dbd3a28ca702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-25T17:51:04Z",
    "title_canon_sha256": "81cfb086a9eb591ccd3132dc39423d0cca759ccc765424057d67bc3e63e9b802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07383",
    "kind": "arxiv",
    "version": 1
  }
}