Pith Number

pith:CFZQ2LQD

pith:2011:CFZQ2LQDDJ737TJ4WBMRTWPSVH

not attested not anchored not stored refs pending

Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data

Slim Ibrahim, Tsuyoshi Yoneda

arxiv:1109.6088 v1 · 2011-09-28 · 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{CFZQ2LQDDJ737TJ4WBMRTWPSVH}

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	2026-05-18T04:12:09.771060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11730d2e031a7fbfcd3cb05919d9f2a9e818b9546d44a57b5828bd5df5f4e994

Aliases

arxiv: 1109.6088 · arxiv_version: 1109.6088v1 · doi: 10.48550/arxiv.1109.6088 · pith_short_12: CFZQ2LQDDJ73 · pith_short_16: CFZQ2LQDDJ737TJ4 · pith_short_8: CFZQ2LQD

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/CFZQ2LQDDJ737TJ4WBMRTWPSVH \
  | 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: 11730d2e031a7fbfcd3cb05919d9f2a9e818b9546d44a57b5828bd5df5f4e994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b79a5ddca11ad4edaf5451ea10cbe0e77edfd4e40d86f6f0197a1332f610cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-28T03:59:49Z",
    "title_canon_sha256": "6b371963b520341f783e5a4b693e1089eb99a5d8ea8a13272cacc60978cf707f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6088",
    "kind": "arxiv",
    "version": 1
  }
}