Pith Number

pith:S3SFGEA4

pith:2026:S3SFGEA4GWFAOPPIUOYFJZIV5Z

not attested not anchored not stored refs pending

Gas-rich ultra-diffuse galaxies: alleviating the MOND tension with hyperconical modified gravity

Robert Monjo

Outer-radius HMG reduces MOND tension for gas-rich ultra-diffuse galaxies but still overpredicts most observed velocities.

arxiv:2604.09652 v2 · 2026-03-30 · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3SFGEA4GWFAOPPIUOYFJZIV5Z}

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.

Claims

C1strongest claim

We conclude that the present outer-radius HMG implementation alleviates the difficulties of MOND, but is still not sufficient to account for the published central values of the UDG sample. Gas-rich UDGs therefore provide a useful discriminant between MOND and HMG.

C2weakest assumption

That scanning the neighbourhood-scale parameter to select the asymptotic branch of HMG constitutes a valid, non-post-hoc application of the model to these galaxies without further tuning or justification.

C3one line summary

HMG asymptotic predictions fit UDG outer velocities better than MOND (chi-squared 18 vs 616) but worse than Newtonian baryons (chi-squared 10), yielding per-galaxy tensions of 0.2-2.1 sigma.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T01:02:34.086311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96e453101c358a073de8a3b054e515ee4bfd9b173b2aad612dbdd346ada5bc6c

Aliases

arxiv: 2604.09652 · arxiv_version: 2604.09652v2 · doi: 10.48550/arxiv.2604.09652 · pith_short_12: S3SFGEA4GWFA · pith_short_16: S3SFGEA4GWFAOPPI · pith_short_8: S3SFGEA4

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/S3SFGEA4GWFAOPPIUOYFJZIV5Z \
  | 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: 96e453101c358a073de8a3b054e515ee4bfd9b173b2aad612dbdd346ada5bc6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44acbcb27aedde94f7cb3685fe0648538ff5b7e3ec56859d47caa5ab8aae6f5b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-03-30T09:08:37Z",
    "title_canon_sha256": "a9b0a6b7d9f69c7829e6b577e9c898fa05a4da47930124580c410a8e1409d642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09652",
    "kind": "arxiv",
    "version": 2
  }
}