Pith Number

pith:NR33YG7N

pith:2010:NR33YG7NN7B745ZKP4SMON3SG6

not attested not anchored not stored refs pending

Limit Sets of Convex non Elastic Billiards

Roberto Markarian, Sonia Pinto-de-Carvalho, Sylvie Oliffson Kamphorst

arxiv:1009.4187 v2 · 2010-09-21 · math.DS · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NR33YG7NN7B745ZKP4SMON3SG6}

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	2026-05-18T04:23:56.604926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c77bc1bed6fc3fe772a7f24c73772378052af83869e623dad5e980fb44986e3

Aliases

arxiv: 1009.4187 · arxiv_version: 1009.4187v2 · doi: 10.48550/arxiv.1009.4187 · pith_short_12: NR33YG7NN7B7 · pith_short_16: NR33YG7NN7B745ZK · pith_short_8: NR33YG7N

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/NR33YG7NN7B745ZKP4SMON3SG6 \
  | 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: 6c77bc1bed6fc3fe772a7f24c73772378052af83869e623dad5e980fb44986e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26cc3f0f5c7788dc206bb6169ac7391ca4f79968bddbfb79c536c00b2237d988",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-21T19:59:10Z",
    "title_canon_sha256": "2f56e12f6171fd1b64b038c8886916bd9d4eb8852594f3cf5feb411f6bc86070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4187",
    "kind": "arxiv",
    "version": 2
  }
}