Pith Number

pith:DZKKGEOT

pith:2009:DZKKGEOTXUXTIXRPDXL4MN5OJE

not attested not anchored not stored refs pending

Archimedes' principle for Brownian liquid

Krzysztof Burdzy, Soumik Pal, Zhen-Qing Chen

arxiv:0912.5398 v2 · 2009-12-30 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZKKGEOTXUXTIXRPDXL4MN5OJE}

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	2026-05-18T04:02:36.367354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e54a311d3bd2f345e2f1dd7c637ae492082b59f4369a362f4bd7be99fc50c1b

Aliases

arxiv: 0912.5398 · arxiv_version: 0912.5398v2 · doi: 10.48550/arxiv.0912.5398 · pith_short_12: DZKKGEOTXUXT · pith_short_16: DZKKGEOTXUXTIXRP · pith_short_8: DZKKGEOT

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/DZKKGEOTXUXTIXRPDXL4MN5OJE \
  | 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: 1e54a311d3bd2f345e2f1dd7c637ae492082b59f4369a362f4bd7be99fc50c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ee6a0e5ab2f36ba781ee305503ab0d7a0994aa28d50fbbf079b9d53df4f28b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-30T01:10:09Z",
    "title_canon_sha256": "48d7c0b7d9f630794349da96cacb3e0e44200d2457483e1ab359a836e3365814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5398",
    "kind": "arxiv",
    "version": 2
  }
}