Pith Number

pith:2KNC3ITS

pith:2025:2KNC3ITSJOFY62W4Y7AEP7X7NI

not attested not anchored not stored refs pending

On the optimal Sobolev threshold for evolution equations with rough nonlinearities

Ben Pineau, Mitchell A. Taylor

arxiv:2505.14966 v1 · 2025-05-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KNC3ITSJOFY62W4Y7AEP7X7NI}

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	2026-07-05T11:06:38.477226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29a2da2724b8b8f6adcc7c047feff6a119b3e3ae82038da4ec40fd2d22f8530

Aliases

arxiv: 2505.14966 · arxiv_version: 2505.14966v1 · doi: 10.48550/arxiv.2505.14966 · pith_short_12: 2KNC3ITSJOFY · pith_short_16: 2KNC3ITSJOFY62W4 · pith_short_8: 2KNC3ITS

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/2KNC3ITSJOFY62W4Y7AEP7X7NI \
  | 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: d29a2da2724b8b8f6adcc7c047feff6a119b3e3ae82038da4ec40fd2d22f8530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e953c67a72b397477dc08506d1342eb11fb8315fce5de895c18dd0443b2ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-20T23:10:35Z",
    "title_canon_sha256": "2410ee7db65b9ea9473f69ff749a3ef80736c31c0495a6cff11035e40620075b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14966",
    "kind": "arxiv",
    "version": 1
  }
}