Pith Number

pith:SQNQAT3D

pith:2012:SQNQAT3DTVMVQD3IOONUUI5FHY

not attested not anchored not stored refs pending

Sequences of compatible periodic hybrid orbits of prefractal Koch snowflake billiards

Michel L. Lapidus, Robert G. Niemeyer

arxiv:1204.3133 v1 · 2012-04-14 · 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{SQNQAT3DTVMVQD3IOONUUI5FHY}

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	2026-05-18T03:29:27.635959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

941b004f639d59580f68739b4a23a53e15d5441e01a0aad921bd622a4ce47fba

Aliases

arxiv: 1204.3133 · arxiv_version: 1204.3133v1 · doi: 10.48550/arxiv.1204.3133 · pith_short_12: SQNQAT3DTVMV · pith_short_16: SQNQAT3DTVMVQD3I · pith_short_8: SQNQAT3D

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/SQNQAT3DTVMVQD3IOONUUI5FHY \
  | 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: 941b004f639d59580f68739b4a23a53e15d5441e01a0aad921bd622a4ce47fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef673625d4a9afde41d8bf178d256760c93ded41fef2c734111f99f7113e13d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-14T02:32:09Z",
    "title_canon_sha256": "1cfae69a95e10e2594458ad4567e41479bef720114e819468868b5091e835ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3133",
    "kind": "arxiv",
    "version": 1
  }
}