Pith Number

pith:MTKWVO5X

pith:2010:MTKWVO5XLCF4KYZPEJVOB7KFAL

not attested not anchored not stored refs pending

Radiative Decay of Bubble Oscillations in a Compressible Fluid

A. M. Shapiro, M. I. Weinstein

arxiv:1004.0924 v3 · 2010-04-06 · math.AP · math-ph · math.MP · nlin.PS · 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{MTKWVO5XLCF4KYZPEJVOB7KFAL}

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	2026-05-18T02:24:17.248075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d56abbb7588bc5632f226ae0fd4502e085bb1642deaed2821b6b1adfe7b281

Aliases

arxiv: 1004.0924 · arxiv_version: 1004.0924v3 · doi: 10.48550/arxiv.1004.0924 · pith_short_12: MTKWVO5XLCF4 · pith_short_16: MTKWVO5XLCF4KYZP · pith_short_8: MTKWVO5X

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/MTKWVO5XLCF4KYZPEJVOB7KFAL \
  | 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: 64d56abbb7588bc5632f226ae0fd4502e085bb1642deaed2821b6b1adfe7b281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb111f46f556ed98183eebe6469cd9594ea794fd32bc463c14682a2cf4a5a09a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-06T18:43:52Z",
    "title_canon_sha256": "210bf2ecef26f7f153eec6c2ca0f6831d51094b48907706d87a7b159eee4f602"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0924",
    "kind": "arxiv",
    "version": 3
  }
}