Pith Number

pith:EOOLLOCT

pith:2026:EOOLLOCT7B5VYGCQ7O4VD7WQLR

not attested not anchored not stored refs pending

Long Time Well-posedness for the Benjamin-Ono Equation with Quasi-Periodic Initial Data

Yubo Wang

arxiv:2606.01778 v1 · 2026-06-01 · 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{EOOLLOCT7B5VYGCQ7O4VD7WQLR}

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	2026-06-02T02:04:56.466091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

239cb5b853f87b5c1850fbb951fed05c4297ecfc44aa098b3bc437b60beb28ee

Aliases

arxiv: 2606.01778 · arxiv_version: 2606.01778v1 · doi: 10.48550/arxiv.2606.01778 · pith_short_12: EOOLLOCT7B5V · pith_short_16: EOOLLOCT7B5VYGCQ · pith_short_8: EOOLLOCT

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/EOOLLOCT7B5VYGCQ7O4VD7WQLR \
  | 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: 239cb5b853f87b5c1850fbb951fed05c4297ecfc44aa098b3bc437b60beb28ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9ead65b3118cd2b6f8238c77ca7317753b119359f5eacc6519bb31d1d7f7ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-01T06:59:21Z",
    "title_canon_sha256": "64cd61a935b492d8773bf8f04851424436bb11b570443b89813e80ba9b897f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01778",
    "kind": "arxiv",
    "version": 1
  }
}