Pith Number

pith:TQXRYGZG

pith:2010:TQXRYGZG22CZOFOQNJCBSHJPPF

not attested not anchored not stored refs pending

Global well-posedness for the micropolar fluid system in the critical Besov spaces

Changxing Miao, Qionglei Chen

arxiv:1008.0219 v1 · 2010-08-02 · 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{TQXRYGZG22CZOFOQNJCBSHJPPF}

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	2026-05-18T04:06:08.130903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2f1c1b26d6859715d06a44191d2f796b420dbc6decf543e9fd7ce5655ff9e6

Aliases

arxiv: 1008.0219 · arxiv_version: 1008.0219v1 · doi: 10.48550/arxiv.1008.0219 · pith_short_12: TQXRYGZG22CZ · pith_short_16: TQXRYGZG22CZOFOQ · pith_short_8: TQXRYGZG

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/TQXRYGZG22CZOFOQNJCBSHJPPF \
  | 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: 9c2f1c1b26d6859715d06a44191d2f796b420dbc6decf543e9fd7ce5655ff9e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd1a2d3c091a7bfe5fb42e61fb4ea78e49c9c135e132ea26bf2afdfc09f5bb5f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-02T03:47:37Z",
    "title_canon_sha256": "4ca68055be7dda7b7f0c1bf58b2b5aca8aaff70a66575f036677ebedc9cee31c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0219",
    "kind": "arxiv",
    "version": 1
  }
}