Pith Number

pith:PYTSKKFX

pith:2000:PYTSKKFX2YH7MV3JAHKBZICVGM

not attested not anchored not stored refs pending

Gravitational Collapse in Turbulent Molecular Clouds. II. Magnetohydrodynamical Turbulence

F. Heitsch, M.-M. Mac Low, R.S. Klessen

arxiv:astro-ph/0009227 v1 · 2000-09-14 · 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{PYTSKKFX2YH7MV3JAHKBZICVGM}

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	2026-05-18T04:38:15.934412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e272528b7d60ff6576901d41ca055331e0a0b9854fdc7e16b6ee8c89818beda

Aliases

arxiv: astro-ph/0009227 · arxiv_version: astro-ph/0009227v1 · doi: 10.48550/arxiv.astro-ph/0009227 · pith_short_12: PYTSKKFX2YH7 · pith_short_16: PYTSKKFX2YH7MV3J · pith_short_8: PYTSKKFX

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/PYTSKKFX2YH7MV3JAHKBZICVGM \
  | 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: 7e272528b7d60ff6576901d41ca055331e0a0b9854fdc7e16b6ee8c89818beda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920dcc5ab9aa685a9e0bf0973869ee4ce69c080934da1da9f7c1e644b29aef84",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-09-14T10:56:00Z",
    "title_canon_sha256": "5c102c32841f9fce5a2c8a1caf2c6649991518e1442639c0669e6313c1238636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0009227",
    "kind": "arxiv",
    "version": 1
  }
}