Pith Number

pith:QSPMAE2C

pith:2015:QSPMAE2C3IYFQTIZ2HIGJ6WXGV

not attested not anchored not stored refs pending

Structure of Helicity and Global Solutions of Incompressible Navier-Stokes Equation

Fang-Hua Lin, Yi Zhou, Zhen Lei

arxiv:1505.00142 v1 · 2015-05-01 · 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{QSPMAE2C3IYFQTIZ2HIGJ6WXGV}

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	2026-05-18T01:28:56.379296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

849ec01342da30584d19d1d064fad7354b03834b04169ca8cc811a62c0f5bc97

Aliases

arxiv: 1505.00142 · arxiv_version: 1505.00142v1 · doi: 10.48550/arxiv.1505.00142 · pith_short_12: QSPMAE2C3IYF · pith_short_16: QSPMAE2C3IYFQTIZ · pith_short_8: QSPMAE2C

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/QSPMAE2C3IYFQTIZ2HIGJ6WXGV \
  | 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: 849ec01342da30584d19d1d064fad7354b03834b04169ca8cc811a62c0f5bc97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1eb90434d8adcc7e8d36ff7178157f90cbb9f9540aded970a44b2b0eb99be5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-01T10:06:39Z",
    "title_canon_sha256": "3334cc244bdb818fa5ea7e00d35365bb07b96eaf453f66110e1da0a0853239c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00142",
    "kind": "arxiv",
    "version": 1
  }
}