Pith Number

pith:7NZA7ANB

pith:2002:7NZA7ANBGERTUR6VYVZY64ZAME

not attested not anchored not stored refs pending

Modified Newtonian Dynamics as an Alternative to Dark Matter

Robert H. Sanders (Kapteyn Astronomical Institute), Stacy S. McGaugh (University of Maryland)

arxiv:astro-ph/0204521 v1 · 2002-04-30 · astro-ph · gr-qc · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7NZA7ANBGERTUR6VYVZY64ZAME}

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.

Cited by

1 paper in Pith

Quasinormal modes of nonlocal gravity black holes

Receipt and verification

First computed	2026-07-04T16:29:56.875389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb720f81a131233a47d5c5738f732061249b5a311ce3587eb4396d2eba465f11

Aliases

arxiv: astro-ph/0204521 · arxiv_version: astro-ph/0204521v1 · doi: 10.48550/arxiv.astro-ph/0204521 · pith_short_12: 7NZA7ANBGERT · pith_short_16: 7NZA7ANBGERTUR6V · pith_short_8: 7NZA7ANB

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/7NZA7ANBGERTUR6VYVZY64ZAME \
  | 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: fb720f81a131233a47d5c5738f732061249b5a311ce3587eb4396d2eba465f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a87fbedfd6cef31cd7ed18dd1d11aec223145675368625a9f83c6ff911e923",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-04-30T17:59:58Z",
    "title_canon_sha256": "cef9848b15cf0860655e637acb737db32151fb6a9352e7294622d5392003558f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0204521",
    "kind": "arxiv",
    "version": 1
  }
}