Pith Number

pith:5V3QS5QS

pith:2013:5V3QS5QSQAIZPEEVBO7ZECGWNO

not attested not anchored not stored refs pending

Simple, asymptotically distribution-free, optimal tests for circular reflective symmetry about a known median direction

Christophe Ley, Thomas Verdebout

arxiv:1303.6584 v1 · 2013-03-26 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V3QS5QSQAIZPEEVBO7ZECGWNO}

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	2026-05-18T03:29:48.987455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7709761280119790950bbf9208d66ba7a564278f35441b90af11ce31987bab

Aliases

arxiv: 1303.6584 · arxiv_version: 1303.6584v1 · doi: 10.48550/arxiv.1303.6584 · pith_short_12: 5V3QS5QSQAIZ · pith_short_16: 5V3QS5QSQAIZPEEV · pith_short_8: 5V3QS5QS

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/5V3QS5QSQAIZPEEVBO7ZECGWNO \
  | 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: ed7709761280119790950bbf9208d66ba7a564278f35441b90af11ce31987bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6b2804fdd666d920716796f2dca7064236b14ed66565cf3f5b37a728c44e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2013-03-26T18:13:08Z",
    "title_canon_sha256": "7bb9d33bdeebada1858ef5082fedab04e3be10cbd49282476bbcc10b84746394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6584",
    "kind": "arxiv",
    "version": 1
  }
}