Pith Number

pith:WL27X55A

pith:2025:WL27X55A6LGALM3JBAGUPXUQR3

not attested not anchored not stored refs pending

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces

Lili Wang, Shikun Cui, Wendong Wang

arxiv:2504.16401 v1 · 2025-04-23 · 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{WL27X55A6LGALM3JBAGUPXUQR3}

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	2026-07-05T10:52:46.224253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2f5fbf7a0f2cc05b369080d47de908ef6434fbbde849d4738495b3382fe57a9

Aliases

arxiv: 2504.16401 · arxiv_version: 2504.16401v1 · doi: 10.48550/arxiv.2504.16401 · pith_short_12: WL27X55A6LGA · pith_short_16: WL27X55A6LGALM3J · pith_short_8: WL27X55A

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/WL27X55A6LGALM3JBAGUPXUQR3 \
  | 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: b2f5fbf7a0f2cc05b369080d47de908ef6434fbbde849d4738495b3382fe57a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b778c4d8062f0227e83f2babd6e208f5e796286c973dd398aa2b68a95f1342",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-23T04:09:55Z",
    "title_canon_sha256": "0697ca75dc0bf3455450c125fd5af528e7d01d204e115fae3bc6dfd3d303ef7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16401",
    "kind": "arxiv",
    "version": 1
  }
}