Pith Number

pith:27QKJG7D

pith:2019:27QKJG7DAGCI65RNTE3MUHYXTH

not attested not anchored not stored refs pending

Rough sound waves in $3D$ compressible Euler flow with vorticity

Chenyun Luo, Giusy Mazzone, Jared Speck, Marcelo M. Disconzi

arxiv:1909.02550 v2 · 2019-09-05 · 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{27QKJG7DAGCI65RNTE3MUHYXTH}

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	2026-07-05T04:55:14.308776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e0a49be301848f762d9936ca1f1799c2111ddeea93e9cdade1243d6d582a22

Aliases

arxiv: 1909.02550 · arxiv_version: 1909.02550v2 · doi: 10.48550/arxiv.1909.02550 · pith_short_12: 27QKJG7DAGCI · pith_short_16: 27QKJG7DAGCI65RN · pith_short_8: 27QKJG7D

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/27QKJG7DAGCI65RNTE3MUHYXTH \
  | 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: d7e0a49be301848f762d9936ca1f1799c2111ddeea93e9cdade1243d6d582a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ea62832d41767fc888a6d55982d5bdfd4955ada4478a5f6cb8a4193d5e8af6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-09-05T17:42:45Z",
    "title_canon_sha256": "0c3ea96c6d20fbaebe181dba46fafc253fba03c5f22a2ad8a348feab3d9a8080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02550",
    "kind": "arxiv",
    "version": 2
  }
}