Pith Number

pith:GJRQBFLK

pith:2012:GJRQBFLK4PLZLPKI7DSEAUF3PV

not attested not anchored not stored refs pending

Classification of symmetric periodic trajectories in ellipsoidal billiards

Pablo S. Casas, Rafael Ram\'irez-Ros

arxiv:1203.6188 v1 · 2012-03-28 · math.DS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJRQBFLK4PLZLPKI7DSEAUF3PV}

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	2026-05-18T02:17:22.177762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326300956ae3d795bd48f8e44050bb7d7e44dc93961c3f89ef37654e9d021cab

Aliases

arxiv: 1203.6188 · arxiv_version: 1203.6188v1 · doi: 10.48550/arxiv.1203.6188 · pith_short_12: GJRQBFLK4PLZ · pith_short_16: GJRQBFLK4PLZLPKI · pith_short_8: GJRQBFLK

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/GJRQBFLK4PLZLPKI7DSEAUF3PV \
  | 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: 326300956ae3d795bd48f8e44050bb7d7e44dc93961c3f89ef37654e9d021cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4eb09f808d35641fcfaa7fa28b960c6010584c61ef4c7032c4e303ca72595f4",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-28T08:05:56Z",
    "title_canon_sha256": "b67e7d89b62cfdc330d6fabed768900909ec7f4c21de10f992fdc039b293c2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6188",
    "kind": "arxiv",
    "version": 1
  }
}