Pith Number

pith:WECVTDGF

pith:2011:WECVTDGFZV6FGS6WI7CQPFZICH

not attested not anchored not stored refs pending

Shortest billiard trajectories

Daniel Bezdek, Karoly Bezdek

arxiv:1110.4324 v1 · 2011-10-19 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WECVTDGFZV6FGS6WI7CQPFZICH}

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	2026-05-18T04:10:37.643894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b105598cc5cd7c534bd647c507972811cc841a91c32cdedf1241d7f5269ec053

Aliases

arxiv: 1110.4324 · arxiv_version: 1110.4324v1 · doi: 10.48550/arxiv.1110.4324 · pith_short_12: WECVTDGFZV6F · pith_short_16: WECVTDGFZV6FGS6W · pith_short_8: WECVTDGF

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/WECVTDGFZV6FGS6WI7CQPFZICH \
  | 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: b105598cc5cd7c534bd647c507972811cc841a91c32cdedf1241d7f5269ec053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ce73ec97d4789694ea2394d6e1ce37bcedb9bf8a1a7831260e53f6898837a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-10-19T16:08:42Z",
    "title_canon_sha256": "129ad2376ae1be3942d51bc9efb72eca04ccf07b206e3d823ebcdc945c8946bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4324",
    "kind": "arxiv",
    "version": 1
  }
}