Pith Number

pith:4FD3LUKK

pith:2010:4FD3LUKKT6HYAEFU4S5SNLAGE5

not attested not anchored not stored refs pending

On the persistence properties of solutions of nonlinear dispersive equations in weighted Sobolev spaces

Gustavo Ponce, Joules Nahas

arxiv:1010.5012 v1 · 2010-10-24 · 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{4FD3LUKKT6HYAEFU4S5SNLAGE5}

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	2026-05-18T04:38:49.576275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e147b5d14a9f8f8010b4e4bb26ac0627574f841879e00d581a0bddd13729943b

Aliases

arxiv: 1010.5012 · arxiv_version: 1010.5012v1 · doi: 10.48550/arxiv.1010.5012 · pith_short_12: 4FD3LUKKT6HY · pith_short_16: 4FD3LUKKT6HYAEFU · pith_short_8: 4FD3LUKK

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/4FD3LUKKT6HYAEFU4S5SNLAGE5 \
  | 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: e147b5d14a9f8f8010b4e4bb26ac0627574f841879e00d581a0bddd13729943b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4708c65e732ae60e383dfedbc269c95e861605ee072dced9e54ecae6ed4837b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-24T21:57:09Z",
    "title_canon_sha256": "9f5476ff1bcb4a5b11f29a0da8701c8768d0a783327a99c93caf5ddd6c36ad89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5012",
    "kind": "arxiv",
    "version": 1
  }
}