Pith Number

pith:WJYJAENC

pith:2022:WJYJAENCFJ6H4EJD6SDF76FAAV

not attested not anchored not stored refs pending

Global regularity and decay behavior for Leray equations with critical-dissipation and Its Application to Self-similar Solutions

Changxing Miao, Xiaoxin Zheng

arxiv:2209.00153 v1 · 2022-08-31 · 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{WJYJAENCFJ6H4EJD6SDF76FAAV}

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	2026-07-05T08:17:55.017833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2709011a22a7c7e1123f4865ff8a0054bf457dbbe8c48636b493685da6df7fa

Aliases

arxiv: 2209.00153 · arxiv_version: 2209.00153v1 · doi: 10.48550/arxiv.2209.00153 · pith_short_12: WJYJAENCFJ6H · pith_short_16: WJYJAENCFJ6H4EJD · pith_short_8: WJYJAENC

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/WJYJAENCFJ6H4EJD6SDF76FAAV \
  | 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: b2709011a22a7c7e1123f4865ff8a0054bf457dbbe8c48636b493685da6df7fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e048abb6cdf3fa0a38826b7ae57c42bee545c5d9ce2fd6e3c573c68a1f4cfde6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-08-31T23:32:31Z",
    "title_canon_sha256": "c6c4d33f33bf815582208e9daef34f409cfac51a6a385f0c29d6149e3faab6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00153",
    "kind": "arxiv",
    "version": 1
  }
}