Pith Number

pith:IY5QYEIF

pith:2024:IY5QYEIFRGXVIVHY6QW257QLHT

not attested not anchored not stored refs pending

Global large strong solution of the 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity

Jiaxu Li, Rong Zhang, Xiangdi Huang

arxiv:2408.00333 v1 · 2024-08-01 · 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{IY5QYEIFRGXVIVHY6QW257QLHT}

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	2026-07-05T08:51:02.008310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

463b0c110589af5454f8f42daefe0b3cd8f7857b9a67d8976cfa266c17481448

Aliases

arxiv: 2408.00333 · arxiv_version: 2408.00333v1 · doi: 10.48550/arxiv.2408.00333 · pith_short_12: IY5QYEIFRGXV · pith_short_16: IY5QYEIFRGXVIVHY · pith_short_8: IY5QYEIF

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/IY5QYEIFRGXVIVHY6QW257QLHT \
  | 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: 463b0c110589af5454f8f42daefe0b3cd8f7857b9a67d8976cfa266c17481448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6b63af75129e94126fe3dbae6017c72ed28f3aaa9a4080a926215095c47365",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-01T07:11:47Z",
    "title_canon_sha256": "808aeefb4229da45a53f099a870a90ca00bda1607fdabe69f21b56980149213d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.00333",
    "kind": "arxiv",
    "version": 1
  }
}