Pith Number

pith:D7FKJYJK

pith:2025:D7FKJYJKJVZGVYKBLF5KGT5G77

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Free-Grained Hierarchical Visual Recognition

Seulki Park, Stella X. Yu, Zilin Wang

Hierarchical image recognition can learn consistent predictions from labels at any taxonomy level using mixed-granularity supervision.

arxiv:2510.14737 v3 · 2025-10-16 · cs.CV

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\pithnumber{D7FKJYJKJVZGVYKBLF5KGT5G77}

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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

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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.

Claims

C1strongest claim

We introduce free-grain training, where labels may appear at any level of the taxonomy and models must learn consistent hierarchical predictions from incomplete, mixed-granularity supervision.

C2weakest assumption

That supplementing with broad text-based supervision or framing missing labels as semi-supervised learning will sufficiently compensate for incomplete annotations without introducing new inconsistencies or performance drops.

C3one line summary

Introduces free-grain hierarchical visual recognition with new benchmarks for mixed-granularity labels and methods using text-based supervision plus semi-supervised learning for missing labels.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-21T02:04:53.644059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcaa4e12a4d726ae141597aa34fa6ffc2e88baa8410f0e5a5dc797674fe4ae6

Aliases

arxiv: 2510.14737 · arxiv_version: 2510.14737v3 · doi: 10.48550/arxiv.2510.14737 · pith_short_12: D7FKJYJKJVZG · pith_short_16: D7FKJYJKJVZGVYKB · pith_short_8: D7FKJYJK

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D7FKJYJKJVZGVYKBLF5KGT5G77 \
  | 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: 1fcaa4e12a4d726ae141597aa34fa6ffc2e88baa8410f0e5a5dc797674fe4ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec34a9be2c1667437ff299162eef65e51c6e0b2b019bababe3525d7f4b44d8b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2025-10-16T14:35:18Z",
    "title_canon_sha256": "c85882320849c4d4692746168094e519189c8a6ad98d90be1bed9d6d7b174313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.14737",
    "kind": "arxiv",
    "version": 3
  }
}