Pith Number

pith:X6K5Z25P

pith:2010:X6K5Z25PQAIIOC5WL7WMSVAKQX

not attested not anchored not stored refs pending

Looking for a Billiard Table which is not a Lattice Polygon but Satisfies Veech's Dichotomy

Meital Cohen

arxiv:1011.3217 v1 · 2010-11-14 · 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{X6K5Z25PQAIIOC5WL7WMSVAKQX}

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	2026-05-18T04:35:56.325934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf95dcebaf8010870bb65fecc9540a85dbe10049c7f31104382cb5ab8ba301ac

Aliases

arxiv: 1011.3217 · arxiv_version: 1011.3217v1 · doi: 10.48550/arxiv.1011.3217 · pith_short_12: X6K5Z25PQAII · pith_short_16: X6K5Z25PQAIIOC5W · pith_short_8: X6K5Z25P

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/X6K5Z25PQAIIOC5WL7WMSVAKQX \
  | 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: bf95dcebaf8010870bb65fecc9540a85dbe10049c7f31104382cb5ab8ba301ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e338e99a02053ba4f665831b1c45a3cb2cbeae842c2ac25d4fb9a0a46fe75d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-14T11:34:01Z",
    "title_canon_sha256": "950bf6c231a31cb3b5cc99896557f3ab61bbd13a4eb7abe5cd912b44647ff005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3217",
    "kind": "arxiv",
    "version": 1
  }
}