Pith Number

pith:NJACQM3X

pith:1995:NJACQM3XLUXBLDOAYZ5HYHMYEL

not attested not anchored not stored refs pending

Bubble Shape Oscillations and the Onset of Sonoluminescence

Detlef Lohse, Michael P. Brenner, T.F. Dupont (Dept. of Mathematics, The University of Chicago)

arxiv:chao-dyn/9504011 v2 · 1995-04-13 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJACQM3XLUXBLDOAYZ5HYHMYEL}

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	2026-05-18T01:07:24.976425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a402833775d2e158dc0c67a7c1d9822d4c42da35fffd429df93f59fdc1d187e

Aliases

arxiv: chao-dyn/9504011 · arxiv_version: chao-dyn/9504011v2 · doi: 10.48550/arxiv.chao-dyn/9504011 · pith_short_12: NJACQM3XLUXB · pith_short_16: NJACQM3XLUXBLDOA · pith_short_8: NJACQM3X

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/NJACQM3XLUXBLDOAYZ5HYHMYEL \
  | 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: 6a402833775d2e158dc0c67a7c1d9822d4c42da35fffd429df93f59fdc1d187e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd2b89211eafab7d392496557c7fc4823e7e6a6fddb434d6d0c05a30897c5de4",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1995-04-13T07:23:12Z",
    "title_canon_sha256": "0f27130d2df682679dbc8a21c0e655a79908783b00c194ac026a6802f49d8ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9504011",
    "kind": "arxiv",
    "version": 2
  }
}