Pith Number

pith:3FGKDWA5

pith:2012:3FGKDWA5NHQFTUCBLNRCS44BO7

not attested not anchored not stored refs pending

The lifetime of shape oscillations of a bubble in an unbounded, inviscid and compressible fluid with surface tension

Michael I. Weinstein, Ovidiu Costin, Saleh Tanveer

arxiv:1210.0487 v1 · 2012-10-01 · math.AP · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FGKDWA5NHQFTUCBLNRCS44BO7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:44:22.342296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d94ca1d81d69e059d0415b6229738177c2172223cf1b074fdec5a0a40e596aa5

Aliases

arxiv: 1210.0487 · arxiv_version: 1210.0487v1 · doi: 10.48550/arxiv.1210.0487 · pith_short_12: 3FGKDWA5NHQF · pith_short_16: 3FGKDWA5NHQFTUCB · pith_short_8: 3FGKDWA5

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/3FGKDWA5NHQFTUCBLNRCS44BO7 \
  | 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: d94ca1d81d69e059d0415b6229738177c2172223cf1b074fdec5a0a40e596aa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eadbcf3e2d41424156948c9581b334e8720b9a908b278683e258ebd8f8c7bac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-01T17:58:38Z",
    "title_canon_sha256": "c154cf33facacf17ccb5ffd579529ef460d174bb32c27601f7e8fcb5de6d0c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0487",
    "kind": "arxiv",
    "version": 1
  }
}