Pith Number

pith:KOB3UXFO

pith:2026:KOB3UXFOQ67L2LD7WU2KZUQZAC

not attested not anchored not stored refs pending

Global well-posedness for 3D compressible and incompressible micropolar fluids without angular viscosity in strip domains

Youyi Zhao

arxiv:2605.20753 v1 · 2026-05-20 · 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{KOB3UXFOQ67L2LD7WU2KZUQZAC}

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	2026-05-21T01:04:52.384416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5383ba5cae87bebd2c7fb534acd2190099142d23261513af4edd318434ec0e8b

Aliases

arxiv: 2605.20753 · arxiv_version: 2605.20753v1 · doi: 10.48550/arxiv.2605.20753 · pith_short_12: KOB3UXFOQ67L · pith_short_16: KOB3UXFOQ67L2LD7 · pith_short_8: KOB3UXFO

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/KOB3UXFOQ67L2LD7WU2KZUQZAC \
  | 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: 5383ba5cae87bebd2c7fb534acd2190099142d23261513af4edd318434ec0e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f7e449ae58f5da5552caf8db705367e92f05d85ad42c7af5cc00031f530d5cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-20T05:52:02Z",
    "title_canon_sha256": "e5b8abfe4a21dbec2a03a7211649bc2b62abe8ef6dd35e4aa715424e18f064fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20753",
    "kind": "arxiv",
    "version": 1
  }
}