Pith Number

pith:UW7RSU5U

pith:1999:UW7RSU5UH3P6MZ2WFVJT4QUY3X

not attested not anchored not stored refs pending

The fundamental plane of elliptical galaxies with modified Newtonian dynamics

Groningen, NL), R.H. Sanders (Kateyn Astronomical Institute

arxiv:astro-ph/9907326 v2 · 1999-07-23 · 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{UW7RSU5UH3P6MZ2WFVJT4QUY3X}

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	2026-07-04T16:11:27.667236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5bf1953b43edfe667562d533e4298ddd5210e2c9656358092be750f5d36d60d

Aliases

arxiv: astro-ph/9907326 · arxiv_version: astro-ph/9907326v2 · doi: 10.48550/arxiv.astro-ph/9907326 · pith_short_12: UW7RSU5UH3P6 · pith_short_16: UW7RSU5UH3P6MZ2W · pith_short_8: UW7RSU5U

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/UW7RSU5UH3P6MZ2WFVJT4QUY3X \
  | 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: a5bf1953b43edfe667562d533e4298ddd5210e2c9656358092be750f5d36d60d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f30749e2fac32e5ebf19cb131585e4e17ff7db2a92e08a837b20fd74a104ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-07-23T13:56:10Z",
    "title_canon_sha256": "dcccd63654bff5d153d12035e780cd8464c116ce3781c2db8214be8e3a71cc91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9907326",
    "kind": "arxiv",
    "version": 2
  }
}