Pith Number

pith:TEV46ATH

pith:2026:TEV46ATHYJ4GNPPIEELMSUS6I5

not attested not anchored not stored refs resolved

When Weak Fields Arent Weak: Post-Newtonian effective theory and the Dark Matter Puzzle

Giorgio Torrieri, Marco Galoppo

Post-Newtonian expansions become unreliable in weak fields when global conserved charges are absent and dynamics are non-integrable.

arxiv:2605.13557 v1 · 2026-05-13 · gr-qc · hep-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{TEV46ATHYJ4GNPPIEELMSUS6I5}

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

In generic many-body relativistic dynamics, the absence of globally conserved charges in the region of interest and non-integrability can drive strong sensitivity to angular-momentum exchange across inhomogeneous curvature, invalidating naive power counting in an effective theory expansion.

C2weakest assumption

That the validity of post-Newtonian truncations depends primarily on local potentials and velocities being small, without needing to account for global properties such as the presence of conserved charges and integrability of the dynamics.

C3one line summary

Post-Newtonian effective theory breaks down in generic many-body relativistic dynamics despite small local potentials and velocities, due to sensitivity from absent conserved charges and non-integrability, supplying a criterion for reliable weak-field mass inference relevant to the dark matter

References

33 extracted · 33 resolved · 1 Pith anchors

[1] for further technical details). What is tantalizing is that the diagnostic parameter introduced here is small precisely in regimes where the post-Newtonian expansion is quantitatively well tested: ˜αi

[2] C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation(W. H. Freeman, San Francisco, 1973) 1973

[3] G. Bertone, D. Hooper, and J. Silk, Particle dark matter: Evidence, candidates and constraints, Phys. Rept.405, 279 (2005) 2005

[4] B. Famaey and S. McGaugh, Modified Newtonian Dynamics (MOND): Observational Phe- nomenology and Relativistic Extensions, Liv. Rev. Rel.15, 10 (2012) 2012

[5] E. Poisson and C. M. Will,Gravity, Newtonian, Post-Newtonian, Relativistic(Cambridge 10 University Press, 2014) 2014

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-18T02:44:23.568721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

992bcf0267c27866bde82116c9525e4771bd3ea2918b1643caeb2eca6307b16a

Aliases

arxiv: 2605.13557 · arxiv_version: 2605.13557v1 · doi: 10.48550/arxiv.2605.13557 · pith_short_12: TEV46ATHYJ4G · pith_short_16: TEV46ATHYJ4GNPPI · pith_short_8: TEV46ATH

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/TEV46ATHYJ4GNPPIEELMSUS6I5 \
  | 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: 992bcf0267c27866bde82116c9525e4771bd3ea2918b1643caeb2eca6307b16a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce310ebb143ebac2aa7a6629187146eb95b4f6d94d1fe076d20190ab8ef8898b",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T14:00:12Z",
    "title_canon_sha256": "2c8b87020467436547cb629128bc022a1b9e9f497545cd6e5780b33a20ad023b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13557",
    "kind": "arxiv",
    "version": 1
  }
}