Pith Number

pith:NON62K6J

pith:2005:NON62K6JUYDYMK444QDX7GOKQR

not attested not anchored not stored refs pending

How to Simulate Billiards and Similar Systems

Boris D. Lubachevsky

arxiv:cond-mat/0503627 v2 · 2005-03-26 · cond-mat.mtrl-sci · cs.DS · 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{NON62K6JUYDYMK444QDX7GOKQR}

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	2026-05-18T01:39:53.451718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e

Aliases

arxiv: cond-mat/0503627 · arxiv_version: cond-mat/0503627v2 · doi: 10.48550/arxiv.cond-mat/0503627 · pith_short_12: NON62K6JUYDY · pith_short_16: NON62K6JUYDYMK44 · pith_short_8: NON62K6J

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/NON62K6JUYDYMK444QDX7GOKQR \
  | 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: 6b9bed2bc9a607862b9ce4077f99ca8462423967426fde33f258eab6b86e1f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87743a1d5f14938aef4c916cd5e65ea0e7b39fdff0b7f71d9b31dad95f01d4ab",
    "cross_cats_sorted": [
      "cs.DS",
      "math.DS"
    ],
    "license": "",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2005-03-26T16:15:36Z",
    "title_canon_sha256": "ff41d108c185fde3afb6569e458b4c541074f9def4c8164ef54c8b88072f05c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0503627",
    "kind": "arxiv",
    "version": 2
  }
}