Pith Number

pith:UQ7IIACF

pith:2017:UQ7IIACFBZ4RVGAFXD3HYGUNNX

not attested not anchored not stored refs pending

$LlogL$-integrability of the velocity gradient for Stokes system with drifts in $L_\infty (BMO^{-1})$

Gregory Seregin, Jan Burczak

arxiv:1707.01986 v1 · 2017-07-06 · 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{UQ7IIACFBZ4RVGAFXD3HYGUNNX}

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	2026-05-18T00:40:45.641925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a43e8400450e791a9805b8f67c1a8d6dd552b7f5007ea007e776c0a72e313b36

Aliases

arxiv: 1707.01986 · arxiv_version: 1707.01986v1 · doi: 10.48550/arxiv.1707.01986 · pith_short_12: UQ7IIACFBZ4R · pith_short_16: UQ7IIACFBZ4RVGAF · pith_short_8: UQ7IIACF

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/UQ7IIACFBZ4RVGAFXD3HYGUNNX \
  | 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: a43e8400450e791a9805b8f67c1a8d6dd552b7f5007ea007e776c0a72e313b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02127c6e14e47051e54e8b23f98d5a88ea6bb3f6e619d898e6195d67d9d963b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-06T22:36:20Z",
    "title_canon_sha256": "3a160062e6054f2029b1262b681d2cd39e1ffbe20d4e1dde0f0823c4187c0421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01986",
    "kind": "arxiv",
    "version": 1
  }
}