Pith Number

pith:4JHZ4NWH

pith:2011:4JHZ4NWHXXGRMF2I2YVMVMHAUT

not attested not anchored not stored refs pending

Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

Manwai Yuen

arxiv:1104.3687 v1 · 2011-04-19 · math-ph · math.AP · math.DS · 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{4JHZ4NWHXXGRMF2I2YVMVMHAUT}

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	2026-05-18T03:49:47.556021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24f9e36c7bdcd161748d62acab0e0a4e5a5ef62d991b65b8702903b82ac9fe5

Aliases

arxiv: 1104.3687 · arxiv_version: 1104.3687v1 · doi: 10.48550/arxiv.1104.3687 · pith_short_12: 4JHZ4NWHXXGR · pith_short_16: 4JHZ4NWHXXGRMF2I · pith_short_8: 4JHZ4NWH

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/4JHZ4NWHXXGRMF2I2YVMVMHAUT \
  | 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: e24f9e36c7bdcd161748d62acab0e0a4e5a5ef62d991b65b8702903b82ac9fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c4352e78c4dfa3d893f7187cdb62a6de080abc793c6c68189aeffe0ef6a892",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-04-19T09:50:44Z",
    "title_canon_sha256": "38e244efeb368498ffe6e2b20da10403a47eb5e59adfef303f7bec7267b2edf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3687",
    "kind": "arxiv",
    "version": 1
  }
}