Pith Number

pith:D6OF2SON

pith:2004:D6OF2SONWCBWRYQYTW22OTIDJH

not attested not anchored not stored refs pending

On the Evolution and Gravitational Collapse of a Toroidal Vortex

K.Yu. Bliokh, V.M. Kontorovich

arxiv:astro-ph/0407320 v1 · 2004-07-15 · astro-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{D6OF2SONWCBWRYQYTW22OTIDJH}

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	2026-05-18T01:40:36.880987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9c5d49cdb08368e2189db5a74d0349e5c38b5d90655bd69273ad195d871f2c

Aliases

arxiv: astro-ph/0407320 · arxiv_version: astro-ph/0407320v1 · doi: 10.48550/arxiv.astro-ph/0407320 · pith_short_12: D6OF2SONWCBW · pith_short_16: D6OF2SONWCBWRYQY · pith_short_8: D6OF2SON

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/D6OF2SONWCBWRYQYTW22OTIDJH \
  | 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: 1f9c5d49cdb08368e2189db5a74d0349e5c38b5d90655bd69273ad195d871f2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7e16a1243ef78bd3f9a3153e602c5238bea4e520ce0abbf92b10394a40d6f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-07-15T21:07:14Z",
    "title_canon_sha256": "60be973eef8e70db17ecb55cf8df99a5bb702536ccbf71e73514e000f67e39c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0407320",
    "kind": "arxiv",
    "version": 1
  }
}