Pith Number

pith:FIB6NIWI

pith:2026:FIB6NIWI7AHFPXOXFQOZJWNEIO

not attested not anchored not stored refs pending

Pointwise Generalization in Deep Neural Networks

Shaojie Li, Yunbei Xu

arxiv:2605.18598 v1 · 2026-05-18 · cs.LG · cond-mat.stat-mech · math.FA · math.PR · 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{FIB6NIWI7AHFPXOXFQOZJWNEIO}

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	2026-05-20T00:06:10.097909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a03e6a2c8f80e57ddd72c1d94d9a443bcb1bd670191ccfbe66feed5a7ab15fa

Aliases

arxiv: 2605.18598 · arxiv_version: 2605.18598v1 · doi: 10.48550/arxiv.2605.18598 · pith_short_12: FIB6NIWI7AHF · pith_short_16: FIB6NIWI7AHFPXOX · pith_short_8: FIB6NIWI

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/FIB6NIWI7AHFPXOXFQOZJWNEIO \
  | 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: 2a03e6a2c8f80e57ddd72c1d94d9a443bcb1bd670191ccfbe66feed5a7ab15fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319555a63e1f119b9034a9c39eb74946f5f52f43f4bfc46936d59189673705dc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.FA",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-18T16:09:06Z",
    "title_canon_sha256": "3fa8f1024a573e031fc307b776bf80fa170d7682a7b2614a31d8f657812ca7eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18598",
    "kind": "arxiv",
    "version": 1
  }
}