Pith Number

pith:4BYQN7L2

pith:2013:4BYQN7L2AKQSWTWYUJ3WM7XPCJ

not attested not anchored not stored refs pending

Three dimensional compressible Navier-Stokes equation - self-similar and traveling wave solutions

I. F. Barna

arxiv:1309.0703 v1 · 2013-09-02 · 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{4BYQN7L2AKQSWTWYUJ3WM7XPCJ}

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	2026-05-18T02:48:17.645816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07106fd7a02a12b4ed8a277667eef127aa25507f9e9393299a6f0fb8a7418b1

Aliases

arxiv: 1309.0703 · arxiv_version: 1309.0703v1 · doi: 10.48550/arxiv.1309.0703 · pith_short_12: 4BYQN7L2AKQS · pith_short_16: 4BYQN7L2AKQSWTWY · pith_short_8: 4BYQN7L2

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/4BYQN7L2AKQSWTWYUJ3WM7XPCJ \
  | 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: e07106fd7a02a12b4ed8a277667eef127aa25507f9e9393299a6f0fb8a7418b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab3924fd15e55e44339eb22b5b17d4df05f2817784718aa13d5b8edadefaaacb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-09-02T09:19:33Z",
    "title_canon_sha256": "2ef9b133efb966a2d018966e48d14f45a7f0d140cdac15cb0149cfc15d0a8566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0703",
    "kind": "arxiv",
    "version": 1
  }
}