Pith Number

pith:2VDTNBD5

pith:2015:2VDTNBD5HZ7GXBNC7GQMNNZ6XX

not attested not anchored not stored refs pending

Fourier analysis methods for the compressible Navier-Stokes equations

Rapha\"el Danchin (LAMA)

arxiv:1507.02637 v1 · 2015-07-09 · 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{2VDTNBD5HZ7GXBNC7GQMNNZ6XX}

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	2026-05-18T01:37:06.199582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54736847d3e7e6b85a2f9a0c6b73ebdd88626a3357822c00070c317d644a8d1

Aliases

arxiv: 1507.02637 · arxiv_version: 1507.02637v1 · doi: 10.48550/arxiv.1507.02637 · pith_short_12: 2VDTNBD5HZ7G · pith_short_16: 2VDTNBD5HZ7GXBNC · pith_short_8: 2VDTNBD5

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/2VDTNBD5HZ7GXBNC7GQMNNZ6XX \
  | 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: d54736847d3e7e6b85a2f9a0c6b73ebdd88626a3357822c00070c317d644a8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da216be93005317c878b4c660ed6f872bc4959cf8f2070bae13b0d4f9f715c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-09T18:28:51Z",
    "title_canon_sha256": "8ebb70207963df3663997e69bbd49c64cbb0a2392416b033048bce2e1b050806"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02637",
    "kind": "arxiv",
    "version": 1
  }
}