Pith Number

pith:HDEKRA3F

pith:2013:HDEKRA3FTADMIAJA2DKYQXNY7I

not attested not anchored not stored refs pending

Ill-posedness of the incompressible Navier-Stokes equations in $\dot{F}^{-1,q}_{\infty}({R}^3)$

C. Deng, X. Yao

arxiv:1302.7084 v1 · 2013-02-28 · 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{HDEKRA3FTADMIAJA2DKYQXNY7I}

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	2026-05-18T03:32:17.522989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c8a883659806c40120d0d5885db8fa1d96af4624e64851304ff4f41a9a07c5

Aliases

arxiv: 1302.7084 · arxiv_version: 1302.7084v1 · doi: 10.48550/arxiv.1302.7084 · pith_short_12: HDEKRA3FTADM · pith_short_16: HDEKRA3FTADMIAJA · pith_short_8: HDEKRA3F

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/HDEKRA3FTADMIAJA2DKYQXNY7I \
  | 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: 38c8a883659806c40120d0d5885db8fa1d96af4624e64851304ff4f41a9a07c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f977dfedbb1aefef9379d5e5285b1d5e0738bb72619dc512ca54b63134fd9a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-28T05:00:58Z",
    "title_canon_sha256": "6bf56a972f43f036d75e93386cc6e89e1ae4bef749c541d20b10435b5848493e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7084",
    "kind": "arxiv",
    "version": 1
  }
}