Pith Number

pith:FTZXITGB

pith:2026:FTZXITGBPCAPCKBD6LCTZABTZH

not attested not anchored not stored refs pending

Revisiting the Behrens-Fisher Problem: Validity-First Optimality

Chuanhai Liu, Xiao Wang

arxiv:2606.07847 v1 · 2026-06-05 · 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{FTZXITGBPCAPCKBD6LCTZABTZH}

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	2026-06-09T01:04:53.641768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf3744cc17880f12823f2c53c8033c9e6a25bf2d4bd0f8d5426a4462678bfeb

Aliases

arxiv: 2606.07847 · arxiv_version: 2606.07847v1 · doi: 10.48550/arxiv.2606.07847 · pith_short_12: FTZXITGBPCAP · pith_short_16: FTZXITGBPCAPCKBD · pith_short_8: FTZXITGB

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/FTZXITGBPCAPCKBD6LCTZABTZH \
  | 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: 2cf3744cc17880f12823f2c53c8033c9e6a25bf2d4bd0f8d5426a4462678bfeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9894d7fcd0fb5199f59e7825d6f709ed9304f89f5567e202623720a093061c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-05T21:15:48Z",
    "title_canon_sha256": "37f2d68b267f203a85d3c2677687755165afe00907734fc183ea2600ec38ef13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07847",
    "kind": "arxiv",
    "version": 1
  }
}