Pith Number

pith:AMACEV22

pith:2026:AMACEV22HGIU4HO4PMB5LAJDBV

not attested not anchored not stored refs pending

Exact Rank and Convex Calibration Dimension Lower Bounds for the Multi-Label F1 Loss

Mingyuan Zhang

arxiv:2608.08399 v1 · 2026-08-09 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMACEV22HGIU4HO4PMB5LAJDBV}

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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.

Cited by

1 paper in Pith

Exponential Convex Calibration Dimension for the Multi-Label Jaccard Measure

Receipt and verification

First computed	2026-08-11T01:22:32.360144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030022575a39914e1ddc7b03d581230d5589bea9a0f17b274153beb9bb7a288f

Aliases

arxiv: 2608.08399 · arxiv_version: 2608.08399v1 · doi: 10.48550/arxiv.2608.08399 · pith_short_12: AMACEV22HGIU · pith_short_16: AMACEV22HGIU4HO4 · pith_short_8: AMACEV22

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/AMACEV22HGIU4HO4PMB5LAJDBV \
  | 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: 030022575a39914e1ddc7b03d581230d5589bea9a0f17b274153beb9bb7a288f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2919b5edf3f020fa1ef57407bdb0e68b69c8832da49894aaf6f2fb683677c327",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-09T01:26:56Z",
    "title_canon_sha256": "21755e01f410fbe213903901ae08c7ec2298d218782a902992fbb58e1f81c30d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08399",
    "kind": "arxiv",
    "version": 1
  }
}