Pith Number

pith:OKQPGYRA

pith:2026:OKQPGYRA7DXEUJMUCX232JHMM2

not attested not anchored not stored refs pending

Non-colliding billiards in the plane

Alexander Shamov, Itai Benjamini

arxiv:2605.23575 v1 · 2026-05-22 · 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{OKQPGYRA7DXEUJMUCX232JHMM2}

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	2026-05-25T02:02:20.316946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72a0f36220f8ee4a259415f5bd24ec66978dc95998347ed1fbae0fe4cb4c2bdc

Aliases

arxiv: 2605.23575 · arxiv_version: 2605.23575v1 · doi: 10.48550/arxiv.2605.23575 · pith_short_12: OKQPGYRA7DXE · pith_short_16: OKQPGYRA7DXEUJMU · pith_short_8: OKQPGYRA

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/OKQPGYRA7DXEUJMUCX232JHMM2 \
  | 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: 72a0f36220f8ee4a259415f5bd24ec66978dc95998347ed1fbae0fe4cb4c2bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af47f84e806d18bb14ea9453c22eb3faaf3615c98f9b80d0ff4b3da1f57aac3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-22T12:44:35Z",
    "title_canon_sha256": "53893394147b621b2cd066f0a56615a61a339d9497e4428b64060c6f48cb52ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23575",
    "kind": "arxiv",
    "version": 1
  }
}