Pith Number

pith:FSLXCZ27

pith:2015:FSLXCZ27NSPHZV5GQKT5BXQOOQ

not attested not anchored not stored refs pending

Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain

Jishan Fan, Junping Yin, Wenjun Sun

arxiv:1509.03704 v1 · 2015-09-12 · 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{FSLXCZ27NSPHZV5GQKT5BXQOOQ}

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	2026-05-18T01:33:14.786167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c9771675f6c9e7cd7a682a7d0de0e74399dd3769d0f1af988f8c2a1fe602020

Aliases

arxiv: 1509.03704 · arxiv_version: 1509.03704v1 · doi: 10.48550/arxiv.1509.03704 · pith_short_12: FSLXCZ27NSPH · pith_short_16: FSLXCZ27NSPHZV5G · pith_short_8: FSLXCZ27

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/FSLXCZ27NSPHZV5GQKT5BXQOOQ \
  | 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: 2c9771675f6c9e7cd7a682a7d0de0e74399dd3769d0f1af988f8c2a1fe602020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba12054fe417c28ef6657b588d5acde57d031751242c25888c36ba384452621b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-12T04:36:21Z",
    "title_canon_sha256": "478f11531b37d91df17e137314880939d777a9e396ee66954215108187eddf9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03704",
    "kind": "arxiv",
    "version": 1
  }
}