Pith Number

pith:BO3X3IBU

pith:2025:BO3X3IBU2TJWSANAXBDLNJZIAY

not attested not anchored not stored refs pending

Some new Liouville type theorems for 3D steady tropical climate model

Yan Fang, Yanyan Dong, Zhibing Zhang

arxiv:2504.09423 v2 · 2025-04-13 · 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{BO3X3IBU2TJWSANAXBDLNJZIAY}

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	2026-05-26T02:05:00.162793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb77da034d4d36901a0b846b6a728062ef96431446efdecae7a22be3f8fc6b9

Aliases

arxiv: 2504.09423 · arxiv_version: 2504.09423v2 · doi: 10.48550/arxiv.2504.09423 · pith_short_12: BO3X3IBU2TJW · pith_short_16: BO3X3IBU2TJWSANA · pith_short_8: BO3X3IBU

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/BO3X3IBU2TJWSANAXBDLNJZIAY \
  | 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: 0bb77da034d4d36901a0b846b6a728062ef96431446efdecae7a22be3f8fc6b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51bc6404e5c6ae2d07f6b48aa839a5286e0917ec10e52e7b91c6762e3b05de8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-13T04:12:03Z",
    "title_canon_sha256": "eb888960da9b68ef6460a7f09209b938f2d7e679380483a1fcfd6ddb60ddbbe2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09423",
    "kind": "arxiv",
    "version": 2
  }
}