Pith Number

pith:7HJ3AYMZ

pith:2018:7HJ3AYMZKIIRTU2KIC2CHN2F7N

not attested not anchored not stored refs pending

Application BMO type space to parabolic equations of Navier-Stokes type with the Neumann boundary condition

Chao Zhang, Minghua Yang

arxiv:1803.04613 v2 · 2018-03-13 · 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{7HJ3AYMZKIIRTU2KIC2CHN2F7N}

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	2026-05-18T00:00:37.517021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d3b06199521119d34a40b423b745fb5be11972b75d80fe71030939837baef2

Aliases

arxiv: 1803.04613 · arxiv_version: 1803.04613v2 · doi: 10.48550/arxiv.1803.04613 · pith_short_12: 7HJ3AYMZKIIR · pith_short_16: 7HJ3AYMZKIIRTU2K · pith_short_8: 7HJ3AYMZ

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/7HJ3AYMZKIIRTU2KIC2CHN2F7N \
  | 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: f9d3b06199521119d34a40b423b745fb5be11972b75d80fe71030939837baef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f378817ad2249b72157a0a7a52e6bd34a7e4b9bc00512a623b2fe7e8806398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-13T04:31:00Z",
    "title_canon_sha256": "56560658b063e358c1503cf1169e631ae1e5948f36d2a4d15bf2a442911287b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04613",
    "kind": "arxiv",
    "version": 2
  }
}