Pith Number

pith:VPFOFGVD

pith:2000:VPFOFGVDKAUAV2XH6LDIAURPYH

not attested not anchored not stored refs pending

Formation of Disk Galaxies: On the Angular Momentum Problem, the Tully-Fisher Relation and Magnetohydrodynamics

Jesper Sommer-Larsen

arxiv:astro-ph/0002231 v2 · 2000-02-10 · 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{VPFOFGVDKAUAV2XH6LDIAURPYH}

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	2026-05-18T01:21:50.585147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abcae29aa350280aeae7f2c680522fc1e0b2920c1a7cccbf37fc888d938c8083

Aliases

arxiv: astro-ph/0002231 · arxiv_version: astro-ph/0002231v2 · doi: 10.48550/arxiv.astro-ph/0002231 · pith_short_12: VPFOFGVDKAUA · pith_short_16: VPFOFGVDKAUAV2XH · pith_short_8: VPFOFGVD

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/VPFOFGVDKAUAV2XH6LDIAURPYH \
  | 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: abcae29aa350280aeae7f2c680522fc1e0b2920c1a7cccbf37fc888d938c8083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed65f617de3fd66ee2b3abe526c1874dc96066a1125e1254b0d7bd0bf31514d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-10T16:34:39Z",
    "title_canon_sha256": "1a3d02884f57681c4b15cdf641e46bb529d4fae726f677e3f6c90e6d1b134e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002231",
    "kind": "arxiv",
    "version": 2
  }
}