Pith Number

pith:4KBHAJ6R

pith:2010:4KBHAJ6RXMX6OT2MZK3YADHDEH

not attested not anchored not stored refs pending

Geodesic Normal distribution on the circle

Jean-Fran\c{c}ois Coeurjolly (GIPSA-lab, LJK), Nicolas Le Bihan (GIPSA-lab)

arxiv:1012.4361 v2 · 2010-12-20 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KBHAJ6RXMX6OT2MZK3YADHDEH}

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	2026-05-18T04:01:38.149552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2827027d1bb2fe74f4ccab7800ce321fccd4ab8603c0114987f99ca70f25a20

Aliases

arxiv: 1012.4361 · arxiv_version: 1012.4361v2 · doi: 10.48550/arxiv.1012.4361 · pith_short_12: 4KBHAJ6RXMX6 · pith_short_16: 4KBHAJ6RXMX6OT2M · pith_short_8: 4KBHAJ6R

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/4KBHAJ6RXMX6OT2MZK3YADHDEH \
  | 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: e2827027d1bb2fe74f4ccab7800ce321fccd4ab8603c0114987f99ca70f25a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd589424921ea4a01edf872337f94edf48bbc9346afed50bf9cfd365a0b57f67",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-20T15:41:47Z",
    "title_canon_sha256": "45b6ffbd97a5c74d7b3757ff5713060b8fe93111097ad9c45ec0dfa7829d6f27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4361",
    "kind": "arxiv",
    "version": 2
  }
}