Pith Number

pith:5LC56JDS

pith:2010:5LC56JDSOTIO6WLK725RQ7T5Z2

not attested not anchored not stored refs pending

The IVP for the Benjamin-Ono equation in weighted Sobolev spaces

German Fonseca, Gustavo Ponce

arxiv:1004.5592 v2 · 2010-04-30 · 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{5LC56JDSOTIO6WLK725RQ7T5Z2}

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	2026-05-18T02:24:09.740785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac5df247274d0ef596afebb187e7dce86de47e95de7e8ef5dfb00f5b1d735f8

Aliases

arxiv: 1004.5592 · arxiv_version: 1004.5592v2 · doi: 10.48550/arxiv.1004.5592 · pith_short_12: 5LC56JDSOTIO · pith_short_16: 5LC56JDSOTIO6WLK · pith_short_8: 5LC56JDS

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/5LC56JDSOTIO6WLK725RQ7T5Z2 \
  | 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: eac5df247274d0ef596afebb187e7dce86de47e95de7e8ef5dfb00f5b1d735f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aed40d80f6d57e12c33082b8b86f5bc5ac87b189b8f1405546e38421085457c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-30T19:05:44Z",
    "title_canon_sha256": "9ab3e08d757b732f89090a936ee621787547cc1a16cfb33290ea63998153c204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5592",
    "kind": "arxiv",
    "version": 2
  }
}