Pith Number

pith:BS7YUFUV

pith:2025:BS7YUFUVCSFLMWINTQJ3L2FBLW

not attested not anchored not stored refs pending

Auxiliary Learning and its Statistical Understanding

Chuanxin Xia, Feifei Wang, Hanchao Yan, Hansheng Wang

arxiv:2501.03463 v1 · 2025-01-07 · 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{BS7YUFUVCSFLMWINTQJ3L2FBLW}

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	2026-07-05T09:57:55.175446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cbf8a1695148ab6590d9c13b5e8a15dbe718835a9178ca1d091dc11efc4c207

Aliases

arxiv: 2501.03463 · arxiv_version: 2501.03463v1 · doi: 10.48550/arxiv.2501.03463 · pith_short_12: BS7YUFUVCSFL · pith_short_16: BS7YUFUVCSFLMWIN · pith_short_8: BS7YUFUV

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/BS7YUFUVCSFLMWINTQJ3L2FBLW \
  | 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: 0cbf8a1695148ab6590d9c13b5e8a15dbe718835a9178ca1d091dc11efc4c207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296ec86390f6c5749ee785196c85f4d25ee5e55d1841289d0ed98112325f1341",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-01-07T01:45:18Z",
    "title_canon_sha256": "27358f58d791ec6e1268310e356cca37ceae2547b17fd79fa75c79a0b2743134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03463",
    "kind": "arxiv",
    "version": 1
  }
}