Pith Number

pith:OW5VWAZE

pith:2015:OW5VWAZEO2AYROSSBBJKR2MD5D

not attested not anchored not stored refs pending

Boundary layers and incompressible Navier-Stokes-Fourier limit of the Boltzmann Equation in Bounded Domain (I)

Nader Masmoudi, Ning Jiang

arxiv:1510.02977 v1 · 2015-10-10 · 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{OW5VWAZEO2AYROSSBBJKR2MD5D}

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	2026-05-18T01:30:33.110192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75bb5b0324768188ba520852a8e983e8f4053564b9eb318720b61db50edb024f

Aliases

arxiv: 1510.02977 · arxiv_version: 1510.02977v1 · doi: 10.48550/arxiv.1510.02977 · pith_short_12: OW5VWAZEO2AY · pith_short_16: OW5VWAZEO2AYROSS · pith_short_8: OW5VWAZE

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/OW5VWAZEO2AYROSSBBJKR2MD5D \
  | 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: 75bb5b0324768188ba520852a8e983e8f4053564b9eb318720b61db50edb024f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a93358392576b5d72eb14af4ce11aef56fa427a26b23061e99f8fd56e92585",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-10T20:56:14Z",
    "title_canon_sha256": "5fa9b5978fb162db749077e00cddf99e3129b261d908d6b671d2240858fb706e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02977",
    "kind": "arxiv",
    "version": 1
  }
}