Pith Number

pith:AEIZTYIL

pith:2013:AEIZTYIL7J43ZPK6WUDNIJZD4B

not attested not anchored not stored refs pending

Periodic billiard orbits of self-similar Sierpinski carpets

Joe P. Chen, Robert G. Niemeyer

arxiv:1303.4032 v1 · 2013-03-17 · 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{AEIZTYIL7J43ZPK6WUDNIJZD4B}

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	2026-05-18T01:07:52.673654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

011199e10bfa79bcbd5eb506d42723e0504d1a53844b7f8aac17b53a81021929

Aliases

arxiv: 1303.4032 · arxiv_version: 1303.4032v1 · doi: 10.48550/arxiv.1303.4032 · pith_short_12: AEIZTYIL7J43 · pith_short_16: AEIZTYIL7J43ZPK6 · pith_short_8: AEIZTYIL

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/AEIZTYIL7J43ZPK6WUDNIJZD4B \
  | 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: 011199e10bfa79bcbd5eb506d42723e0504d1a53844b7f8aac17b53a81021929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e055fdef86806a50741dc3ff49c332927a7838ba56c554b0f266f4a1f5547b4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-17T04:56:39Z",
    "title_canon_sha256": "0d1756feac349748c36ccf222a20b82d2ee7ee2d07af20da81506628e0336f8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4032",
    "kind": "arxiv",
    "version": 1
  }
}