Pith Number

pith:Y2UHIKL4

pith:2013:Y2UHIKL4VAQJMCDGW35U5PAEDP

not attested not anchored not stored refs pending

Are the incompressible 3d Navier-Stokes equations locally ill-posed in the natural energy space?

Hao Jia, Vladim\'ir \v{S}ver\'ak

arxiv:1306.2136 v1 · 2013-06-10 · 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{Y2UHIKL4VAQJMCDGW35U5PAEDP}

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	2026-05-18T03:21:22.241645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a874297ca820960866b6fb4ebc041bf7ad31f4562e407b2989ba4b4e49ec38

Aliases

arxiv: 1306.2136 · arxiv_version: 1306.2136v1 · doi: 10.48550/arxiv.1306.2136 · pith_short_12: Y2UHIKL4VAQJ · pith_short_16: Y2UHIKL4VAQJMCDG · pith_short_8: Y2UHIKL4

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/Y2UHIKL4VAQJMCDGW35U5PAEDP \
  | 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: c6a874297ca820960866b6fb4ebc041bf7ad31f4562e407b2989ba4b4e49ec38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a51ed61be1e95c6da0dfb110d6bccbd17ebaf63cce578367c4f57acd15eb52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-10T08:38:00Z",
    "title_canon_sha256": "631544fd767e12be4f8de6b34d7f6c3bb2d228fa38bea59ae003c9242c4067c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2136",
    "kind": "arxiv",
    "version": 1
  }
}