Pith Number

pith:SF7HTHPJ

pith:2025:SF7HTHPJ5D66LAR73P7E3F5KOL

not attested not anchored not stored refs pending

Global well-posedness and exponential decay of strong solution for the three-dimensional inhomogeneous incompressible micropolar equations with density-dependent transport coefficients and large initial data

Peng Lu, Yuanyuan Qiao

arxiv:2505.06954 v1 · 2025-05-11 · 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{SF7HTHPJ5D66LAR73P7E3F5KOL}

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	2026-07-05T11:01:39.867481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917e799de9e8fde5823fdbfe4d97aa72def4f1279937bdfbdc1aded67735e837

Aliases

arxiv: 2505.06954 · arxiv_version: 2505.06954v1 · doi: 10.48550/arxiv.2505.06954 · pith_short_12: SF7HTHPJ5D66 · pith_short_16: SF7HTHPJ5D66LAR7 · pith_short_8: SF7HTHPJ

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/SF7HTHPJ5D66LAR73P7E3F5KOL \
  | 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: 917e799de9e8fde5823fdbfe4d97aa72def4f1279937bdfbdc1aded67735e837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecc66e7228c0c1e5b92d84a63d5ac9667457d9655e16116b0fdd3e9abf45653",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-11T11:53:39Z",
    "title_canon_sha256": "63abcbc57913a408085df31b487c81f36d95b5ebe816c2ced6415c14b45c5a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06954",
    "kind": "arxiv",
    "version": 1
  }
}