Pith Number

pith:SARDT2ZF

pith:2012:SARDT2ZFJAOSNZCQ5ORHXV2ZJJ

not attested not anchored not stored refs pending

A regularity criterion for the solution of the nematic liquid crystal flows in terms of $\dot{B}^{-1}_{\infty,\infty}$-norm

Jihong Zhao, Qiao Liu

arxiv:1211.7245 v1 · 2012-11-30 · 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{SARDT2ZFJAOSNZCQ5ORHXV2ZJJ}

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	2026-05-18T03:39:31.145058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902239eb25481d26e450eba27bd7594a4d1b7237a75852c0742aa63ea36353b9

Aliases

arxiv: 1211.7245 · arxiv_version: 1211.7245v1 · doi: 10.48550/arxiv.1211.7245 · pith_short_12: SARDT2ZFJAOS · pith_short_16: SARDT2ZFJAOSNZCQ · pith_short_8: SARDT2ZF

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/SARDT2ZFJAOSNZCQ5ORHXV2ZJJ \
  | 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: 902239eb25481d26e450eba27bd7594a4d1b7237a75852c0742aa63ea36353b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea95f1d89b03a53b1bdc927ce91a0eef09921b34e7ab44ff9131d5b3aebe763",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-30T13:16:29Z",
    "title_canon_sha256": "b410cc1f1fe2852eb20e400e9a07745ae00b1e249c8f83741a7d5bda3d4d63fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7245",
    "kind": "arxiv",
    "version": 1
  }
}