Pith Number

pith:LNH5PKNR

pith:2008:LNH5PKNRROQ2L7O6QTN2EKCNWH

not attested not anchored not stored refs pending

Does a billiard orbit determine its (polygonal) table?

FRUMAM), IML, Jozef Bobok (CPT), Serge Troubetzkoy (CPT

arxiv:0811.1094 v2 · 2008-11-07 · 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{LNH5PKNRROQ2L7O6QTN2EKCNWH}

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	2026-05-18T04:04:28.699439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b4fd7a9b18ba1a5fdde84dba2284db1fbee6c64ea27f60a320a65570fdb6315

Aliases

arxiv: 0811.1094 · arxiv_version: 0811.1094v2 · doi: 10.48550/arxiv.0811.1094 · pith_short_12: LNH5PKNRROQ2 · pith_short_16: LNH5PKNRROQ2L7O6 · pith_short_8: LNH5PKNR

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/LNH5PKNRROQ2L7O6QTN2EKCNWH \
  | 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: 5b4fd7a9b18ba1a5fdde84dba2284db1fbee6c64ea27f60a320a65570fdb6315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c2e240e82cbc8849600ccd5917edd40af90bd9e6fe507e22297f8a13202327b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-11-07T09:28:20Z",
    "title_canon_sha256": "fb273cb8a4efbe7d9c5a61c48d4efcba77ca565fcd9dddc7b92f1fcfef985d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1094",
    "kind": "arxiv",
    "version": 2
  }
}