Pith Number

pith:L4LKFMGE

pith:2018:L4LKFMGEUY3HBBOLOWZUVX7CBB

not attested not anchored not stored refs pending

Navier--Stokes equations in a curved thin domain

Tatsu-Hiko Miura

arxiv:1811.09816 v1 · 2018-11-24 · 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{L4LKFMGEUY3HBBOLOWZUVX7CBB}

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	2026-05-18T00:00:01.138880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f16a2b0c4a6367085cb75b34adfe208626c2f2526c6a258f44fa1e1d98fb801

Aliases

arxiv: 1811.09816 · arxiv_version: 1811.09816v1 · doi: 10.48550/arxiv.1811.09816 · pith_short_12: L4LKFMGEUY3H · pith_short_16: L4LKFMGEUY3HBBOL · pith_short_8: L4LKFMGE

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/L4LKFMGEUY3HBBOLOWZUVX7CBB \
  | 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: 5f16a2b0c4a6367085cb75b34adfe208626c2f2526c6a258f44fa1e1d98fb801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb09734f2467382b5bd7d6c836019d6c02a4f43173bbb9dd395e17743841f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-24T11:43:19Z",
    "title_canon_sha256": "bdad017148dedbf6b1e71e7abc4bc979f76fb4292a2621626b4979ee8676c1fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09816",
    "kind": "arxiv",
    "version": 1
  }
}