Pith Number

pith:HTOE2TDP

pith:2025:HTOE2TDP4Z4WSQDJU3ENOY34M5

not attested not anchored not stored refs pending

The Gronwall inequality

Ralph Howard

arxiv:2503.23639 v1 · 2025-03-31 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTOE2TDP4Z4WSQDJU3ENOY34M5}

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.

Cited by

1 paper in Pith

Generalization Bounds of Spiking Neural Networks via Rademacher Complexity

Receipt and verification

First computed	2026-07-05T10:41:56.987265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdc4d4c6fe679694069a6c8d7637c677a06b893bdc95ce10530c2e3762793ba

Aliases

arxiv: 2503.23639 · arxiv_version: 2503.23639v1 · doi: 10.48550/arxiv.2503.23639 · pith_short_12: HTOE2TDP4Z4W · pith_short_16: HTOE2TDP4Z4WSQDJ · pith_short_8: HTOE2TDP

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/HTOE2TDP4Z4WSQDJU3ENOY34M5 \
  | 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: 3cdc4d4c6fe679694069a6c8d7637c677a06b893bdc95ce10530c2e3762793ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9e71ec32554106127d25fdbec9fecf7a1ec8719c26d17e1383c8c47dcd5bfb8",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-03-31T00:53:32Z",
    "title_canon_sha256": "3be23bcfe5e2fb99d09f6479dd5ff31fc29f095f617ffa60810b1789d6dc5008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23639",
    "kind": "arxiv",
    "version": 1
  }
}