Pith Number

pith:KVA3NU5Z

pith:2010:KVA3NU5ZRADYGRCLKWSVPF2XZO

not attested not anchored not stored refs pending

Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics

Oleg N. Kirillov

arxiv:1012.0892 v1 · 2010-12-04 · 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{KVA3NU5ZRADYGRCLKWSVPF2XZO}

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	2026-05-18T04:25:38.916840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5541b6d3b9880783444b55a5579757cb92357c6e141112779489b6deb3a19809

Aliases

arxiv: 1012.0892 · arxiv_version: 1012.0892v1 · doi: 10.48550/arxiv.1012.0892 · pith_short_12: KVA3NU5ZRADY · pith_short_16: KVA3NU5ZRADYGRCL · pith_short_8: KVA3NU5Z

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/KVA3NU5ZRADYGRCLKWSVPF2XZO \
  | 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: 5541b6d3b9880783444b55a5579757cb92357c6e141112779489b6deb3a19809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25740adee626d2eaadba5eb81ea009fd7eeb75619fecd1ded836c97094b5169e",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-04T07:58:12Z",
    "title_canon_sha256": "f0ca79781ac07f32643b20aad76bdfd913fe74aec3ed3a3e33ad995b1cc3d4fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0892",
    "kind": "arxiv",
    "version": 1
  }
}