Pith Number

pith:JLMJTVOK

pith:2025:JLMJTVOKZTI6YWN7A4UFKQTHZX

not attested not anchored not stored refs pending

Global strong solution of the 3D compressible liquid crystal flows with density-dependent viscosity and large velocity

Jiaxu Li, Rong Zhang, Yu Mei

arxiv:2507.04760 v1 · 2025-07-07 · 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{JLMJTVOKZTI6YWN7A4UFKQTHZX}

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	2026-07-05T11:32:53.602598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad899d5caccd1ec59bf0728554267cde59127502410f640d4089654bd822a44

Aliases

arxiv: 2507.04760 · arxiv_version: 2507.04760v1 · doi: 10.48550/arxiv.2507.04760 · pith_short_12: JLMJTVOKZTI6 · pith_short_16: JLMJTVOKZTI6YWN7 · pith_short_8: JLMJTVOK

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/JLMJTVOKZTI6YWN7A4UFKQTHZX \
  | 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: 4ad899d5caccd1ec59bf0728554267cde59127502410f640d4089654bd822a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa61ba2568f194e6e853af908c9f2bf125a71fdf153a47ca162fff979c9607ba",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-07T08:34:50Z",
    "title_canon_sha256": "779999ab204dcd34ff610bb1ba521f8e15e13dd57aacb06c5373b471bccc2825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04760",
    "kind": "arxiv",
    "version": 1
  }
}