Pith Number

pith:4GW3WBCN

pith:2010:4GW3WBCNSBK44W5WAODYVHF3X7

not attested not anchored not stored refs pending

Local well-posedness and blow up in the energy space for a class of L2 critical dispersion generalized Benjamin-Ono equations

Carlos E. Kenig, Luc Robbiano, Yvan Martel

arxiv:1006.0122 v1 · 2010-06-01 · 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{4GW3WBCNSBK44W5WAODYVHF3X7}

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	2026-05-18T02:07:06.067295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1adbb044d9055ce5bb603878a9cbbbfd54d000817d0fa5812e8dc15ccdfbd92

Aliases

arxiv: 1006.0122 · arxiv_version: 1006.0122v1 · doi: 10.48550/arxiv.1006.0122 · pith_short_12: 4GW3WBCNSBK4 · pith_short_16: 4GW3WBCNSBK44W5W · pith_short_8: 4GW3WBCN

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/4GW3WBCNSBK44W5WAODYVHF3X7 \
  | 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: e1adbb044d9055ce5bb603878a9cbbbfd54d000817d0fa5812e8dc15ccdfbd92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78b16942a77526a0eedeb26ad61b35ecff0e73c926aeae02dd8fad2c8a7de6db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-01T12:37:18Z",
    "title_canon_sha256": "22561ddd0e39cf8e14143bca1c0e124380453f75c0c535b727eb6fa4b4ca32a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0122",
    "kind": "arxiv",
    "version": 1
  }
}