Pith Number

pith:RVUN6OHP

pith:2013:RVUN6OHPTSN54LGL4ZYHYULOR5

not attested not anchored not stored refs pending

Strong Ill-posedness of the incompressible Euler equation in borderline Sobolev spaces

Dong Li, Jean Bourgain

arxiv:1307.7090 v1 · 2013-07-26 · math.AP · math-ph · math.MP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVUN6OHPTSN54LGL4ZYHYULOR5}

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	2026-05-18T03:17:25.373071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d68df38ef9c9bde2ccbe6707c516e8f7cd86e569f5c9025fe1358bc0b56a7f9

Aliases

arxiv: 1307.7090 · arxiv_version: 1307.7090v1 · doi: 10.48550/arxiv.1307.7090 · pith_short_12: RVUN6OHPTSN5 · pith_short_16: RVUN6OHPTSN54LGL · pith_short_8: RVUN6OHP

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/RVUN6OHPTSN54LGL4ZYHYULOR5 \
  | 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: 8d68df38ef9c9bde2ccbe6707c516e8f7cd86e569f5c9025fe1358bc0b56a7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a55329bcdd698c8e6c4a4e3914654a6452553a21ab3c25f543168cd64ea9a45e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-26T16:47:54Z",
    "title_canon_sha256": "23b75138970d8631ff828cf825d5c50ca10ed8c578bbd2134f4ae39bf2db7da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7090",
    "kind": "arxiv",
    "version": 1
  }
}