Pith Number

pith:6RIT7FTS

pith:2013:6RIT7FTST3W4H4JC5HNBQSJOIM

not attested not anchored not stored refs pending

A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$

Dorothee Frey (MSI), Pascal Auscher (LM-Orsay)

arxiv:1310.3783 v1 · 2013-10-14 · math.CA · 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{6RIT7FTST3W4H4JC5HNBQSJOIM}

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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	2026-05-18T03:10:34.915457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4513f96729eedc3f122e9da18492e430a819f68b6d2e87a924ac20ad52365ce

Aliases

arxiv: 1310.3783 · arxiv_version: 1310.3783v1 · doi: 10.48550/arxiv.1310.3783 · pith_short_12: 6RIT7FTST3W4 · pith_short_16: 6RIT7FTST3W4H4JC · pith_short_8: 6RIT7FTS

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/6RIT7FTST3W4H4JC5HNBQSJOIM \
  | 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: f4513f96729eedc3f122e9da18492e430a819f68b6d2e87a924ac20ad52365ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3788a8ea3e6a3a2709215fe25d921f8b3073524fd97b7d7ef0fc9f8a42485487",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-14T18:50:46Z",
    "title_canon_sha256": "1d731759c751c4ac5cfbb45f775513a89fcaba5a60ce096c2867983497c73ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3783",
    "kind": "arxiv",
    "version": 1
  }
}