Pith Number

pith:ZEJFOUIO

pith:2026:ZEJFOUIOJCIOCH7L4VOVVOIC46

not attested not anchored not stored refs pending

Beyond $\ell_2$-norm and $\ell_\infty$-norm: A Curvature-Inspired $\ell_p$-Norm Scheme for Deep Neural Networks

Jianhao Xu, Zhuang Yang

arxiv:2606.02078 v1 · 2026-06-01 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEJFOUIOJCIOCH7L4VOVVOIC46}

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	2026-06-02T02:05:05.348860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91257510e4890e11febe55d5ab902e7a384a456a923e7e6996848cf2ecf33f7

Aliases

arxiv: 2606.02078 · arxiv_version: 2606.02078v1 · doi: 10.48550/arxiv.2606.02078 · pith_short_12: ZEJFOUIOJCIO · pith_short_16: ZEJFOUIOJCIOCH7L · pith_short_8: ZEJFOUIO

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/ZEJFOUIOJCIOCH7L4VOVVOIC46 \
  | 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: c91257510e4890e11febe55d5ab902e7a384a456a923e7e6996848cf2ecf33f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4394651da76a10b68ff619e9245633e78ec82f4b0cd8ec93d70cb29641146cb0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-01T11:07:35Z",
    "title_canon_sha256": "9161779578cf503de5c610a0c2b4cdf083b735e5bb9f2e2c7993a03f6c93b708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02078",
    "kind": "arxiv",
    "version": 1
  }
}