Pith Number

pith:BBVKQYBC

pith:2014:BBVKQYBCKQVLEFBNDG624D7YEF

not attested not anchored not stored refs pending

Stochastic Perturbations of Convex Billiards

Fabio A. Tal, Leonardo T. Rolla, Maria E. Vares, Roberto Markarian, Vladas Sidoravicius

arxiv:1409.5617 v3 · 2014-09-19 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBVKQYBCKQVLEFBNDG624D7YEF}

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	2026-05-18T00:13:19.847894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086aa86022542ab2142d19bdae0ff8215c4bd91fb642d9379be3e864198c25b1

Aliases

arxiv: 1409.5617 · arxiv_version: 1409.5617v3 · doi: 10.48550/arxiv.1409.5617 · pith_short_12: BBVKQYBCKQVL · pith_short_16: BBVKQYBCKQVLEFBN · pith_short_8: BBVKQYBC

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/BBVKQYBCKQVLEFBNDG624D7YEF \
  | 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: 086aa86022542ab2142d19bdae0ff8215c4bd91fb642d9379be3e864198c25b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c14716c0bc9fa3412cd1629497409d821316585357fd7d72f62bcfe08796c845",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-19T12:06:23Z",
    "title_canon_sha256": "f93f325c9375d8f3242c31ea8ac8713e1c7e5dd32bcecd7690d7de0ff78d8171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5617",
    "kind": "arxiv",
    "version": 3
  }
}