Pith Number

pith:MJJIPJ32

pith:2005:MJJIPJ322WVTFKRSWRXSAAILKQ

not attested not anchored not stored refs pending

The hydraulic jump as a white hole

G.E. Volovik

arxiv:physics/0508215 v4 · 2005-08-30 · physics.flu-dyn · cond-mat.soft · gr-qc · hep-ph · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJJIPJ322WVTFKRSWRXSAAILKQ}

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	2026-07-04T16:57:18.591288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599

Aliases

arxiv: physics/0508215 · arxiv_version: physics/0508215v4 · doi: 10.48550/arxiv.physics/0508215 · pith_short_12: MJJIPJ322WVT · pith_short_16: MJJIPJ322WVTFKRS · pith_short_8: MJJIPJ32

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/MJJIPJ322WVTFKRSWRXSAAILKQ \
  | 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: 625287a77ad5ab32aa32b46f20010b540aa9cdb9194782e9bd6f32c1d259c599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4657a55838199a598b33b12cfe6d28a4745c7aea0ca5cae1232a305b07335928",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "gr-qc",
      "hep-ph",
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2005-08-30T18:11:17Z",
    "title_canon_sha256": "7466d29e0e766c7d165ddc2ac8060496ee36de4ac69cf1d1a0a79e64253ce59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0508215",
    "kind": "arxiv",
    "version": 4
  }
}