Pith Number

pith:EXTGHEPS

pith:2026:EXTGHEPS2UTUTTUS7BV6JUALI4

not attested not anchored not stored refs pending

Unbiased estimation of squared concentration in the Fisher-von Mises-Langevin distribution and the impossibility of unbiased concentration

Andrey A. Popov, Yuqin Jiang, Zain Jabbar

arxiv:2606.04267 v1 · 2026-06-02 · math.ST · cs.NA · math.NA · 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{EXTGHEPS2UTUTTUS7BV6JUALI4}

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	2026-06-04T01:09:01.047081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e66391f2d52749ce92f86be4d00b4720dc67214df404f8900d4bfee8296a98

Aliases

arxiv: 2606.04267 · arxiv_version: 2606.04267v1 · doi: 10.48550/arxiv.2606.04267 · pith_short_12: EXTGHEPS2UTU · pith_short_16: EXTGHEPS2UTUTTUS · pith_short_8: EXTGHEPS

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/EXTGHEPS2UTUTTUS7BV6JUALI4 \
  | 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: 25e66391f2d52749ce92f86be4d00b4720dc67214df404f8900d4bfee8296a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e4b6acda5095a22e97cd4217d27a015029e3855b3a27e173d54a1550867d2a",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-02T22:35:54Z",
    "title_canon_sha256": "76b6bee1fe567f00dc404cb3227545217754ebb26fd6788eee946d18e71bb65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04267",
    "kind": "arxiv",
    "version": 1
  }
}