Pith Number

pith:5FP3TWRC

pith:2019:5FP3TWRCJ2MZBGFQFPIMF24CNG

not attested not anchored not stored refs pending

On some model equations of Euler and Navier-Stokes equations

Dapeng Du

arxiv:1907.08748 v1 · 2019-07-20 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FP3TWRCJ2MZBGFQFPIMF24CNG}

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	2026-05-17T23:40:05.520097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95fb9da224e999098b02bd0c2eb8269b6c1e954a01b718bc3ef1d74662acb3f

Aliases

arxiv: 1907.08748 · arxiv_version: 1907.08748v1 · doi: 10.48550/arxiv.1907.08748 · pith_short_12: 5FP3TWRCJ2MZ · pith_short_16: 5FP3TWRCJ2MZBGFQ · pith_short_8: 5FP3TWRC

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/5FP3TWRCJ2MZBGFQFPIMF24CNG \
  | 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: e95fb9da224e999098b02bd0c2eb8269b6c1e954a01b718bc3ef1d74662acb3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3db635fbbe88b9c3e95c42c73954d992874dc597188dd0d454f36f59679a78e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-20T04:09:10Z",
    "title_canon_sha256": "4bb935847022b83e2073e0f486251bc1d7223d504b4000cbbe5d5fa9b262509d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08748",
    "kind": "arxiv",
    "version": 1
  }
}