Pith Number

pith:JWZQ2FXL

pith:2021:JWZQ2FXL7UGC5MXJRU2QMP7BU6

not attested not anchored not stored refs pending

Group theoretic approach and analytical solutions of the compressible Navier-Stokes equations

Aziz Hamdouni, Dina Razafindralandy

arxiv:2111.13039 v1 · 2021-11-25 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWZQ2FXL7UGC5MXJRU2QMP7BU6}

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	2026-07-05T03:35:16.542118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db30d16ebfd0c2eb2e98d35063fe1a78fabc80ea3ca776546a1a793e630f7de

Aliases

arxiv: 2111.13039 · arxiv_version: 2111.13039v1 · doi: 10.48550/arxiv.2111.13039 · pith_short_12: JWZQ2FXL7UGC · pith_short_16: JWZQ2FXL7UGC5MXJ · pith_short_8: JWZQ2FXL

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/JWZQ2FXL7UGC5MXJRU2QMP7BU6 \
  | 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: 4db30d16ebfd0c2eb2e98d35063fe1a78fabc80ea3ca776546a1a793e630f7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204f8fa9fa486fc171a1545f6194aa0713572f4ca1fac8ddc937be938b1c5315",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-11-25T11:53:41Z",
    "title_canon_sha256": "6ec902f650caba34c6c0f93d62af21795e068e1a8381dc6f9e49e4e19d3ffe85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13039",
    "kind": "arxiv",
    "version": 1
  }
}