Pith Number

pith:5IXEATFP

pith:2024:5IXEATFPBBZGBB7I3FDVISRLBK

not attested not anchored not stored refs pending

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities

Pedro Leite, Sim\~ao Correia

arxiv:2412.11808 v1 · 2024-12-16 · 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{5IXEATFPBBZGBB7I3FDVISRLBK}

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

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$

Receipt and verification

First computed	2026-07-05T09:49:51.844021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2e404caf08726087e8d947544a2b0a8185fe3fc7361f44ae372994958d1fdf

Aliases

arxiv: 2412.11808 · arxiv_version: 2412.11808v1 · doi: 10.48550/arxiv.2412.11808 · pith_short_12: 5IXEATFPBBZG · pith_short_16: 5IXEATFPBBZGBB7I · pith_short_8: 5IXEATFP

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/5IXEATFPBBZGBB7I3FDVISRLBK \
  | 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: ea2e404caf08726087e8d947544a2b0a8185fe3fc7361f44ae372994958d1fdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d04ca1769c9079b9285c2a499188e09f6721209d044c3401a5082c00cd812c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-16T14:18:02Z",
    "title_canon_sha256": "368a2b74349d71fa4cd7d3dbc99d0c5abf8c94b0514aeae1f2b485b41f52947f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11808",
    "kind": "arxiv",
    "version": 1
  }
}