Pith Number

pith:IXINR2RT

pith:2025:IXINR2RTVIKC5NPOPBP4RQZ24L

not attested not anchored not stored refs pending

Generalization Bound of Gradient Flow through Training Trajectory and Data-dependent Kernel

Andi Han, Arya Mazumdar, Taiji Suzuki, Wei Huang, Yilan Chen, Zhichao Wang

arxiv:2506.11357 v1 · 2025-06-12 · 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{IXINR2RTVIKC5NPOPBP4RQZ24L}

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	2026-07-05T11:21:02.933962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d0d8ea33aa142eb5ee785fc8c33ae2c5d071485839a11b04cd5ea69ef7006b

Aliases

arxiv: 2506.11357 · arxiv_version: 2506.11357v1 · doi: 10.48550/arxiv.2506.11357 · pith_short_12: IXINR2RTVIKC · pith_short_16: IXINR2RTVIKC5NPO · pith_short_8: IXINR2RT

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/IXINR2RTVIKC5NPOPBP4RQZ24L \
  | 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: 45d0d8ea33aa142eb5ee785fc8c33ae2c5d071485839a11b04cd5ea69ef7006b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717e923430a0439d23858a86411dddc18336c705b3a7eb8986dce84594af99f6",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-12T23:17:09Z",
    "title_canon_sha256": "64c2298e8590d501a3513cec91cea3ebf5a9987ef01c8b70e7bd54e2a90828da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11357",
    "kind": "arxiv",
    "version": 1
  }
}