Pith. sign in
Pith Number

pith:ZHAOOYGE

pith:1998:ZHAOOYGET7SILZEYMYWPO24WVC
not attested not anchored not stored refs pending

Rotation curves of UMa galaxies in the context of modified Newtonian dynamics

Groningen, M.A.W. Verheijen (Kapteyn Astronomical Institute, NL), R.H. Sanders

arxiv:astro-ph/9802240 v2 · 1998-02-18 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZHAOOYGET7SILZEYMYWPO24WVC}

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 2026-07-04T16:06:10.796130Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c9c0e760c49fe485e498662cf76b96a88f0f8df9144e3bc189586428547cf1fe

Aliases

arxiv: astro-ph/9802240 · arxiv_version: astro-ph/9802240v2 · doi: 10.48550/arxiv.astro-ph/9802240 · pith_short_12: ZHAOOYGET7SI · pith_short_16: ZHAOOYGET7SILZEY · pith_short_8: ZHAOOYGE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZHAOOYGET7SILZEYMYWPO24WVC \
  | 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: c9c0e760c49fe485e498662cf76b96a88f0f8df9144e3bc189586428547cf1fe
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8d7dc595b710814506d0a075e4e2c9d206895b7801919ba02d6b28e4bc387017",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-02-18T14:38:04Z",
    "title_canon_sha256": "b255fdf7cf3196abd50d8f54d46facb51d64bf7fbbb09f88c3b6e2eb1aec138f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9802240",
    "kind": "arxiv",
    "version": 2
  }
}