Pith Number

pith:PMSVIEPP

pith:2025:PMSVIEPPAIACAUQSBP7HH4PDQM

not attested not anchored not stored refs resolved

Asymptotic charges of a quadrupolar naked singularity

Edgar Gasperin, Mariem Magdy

The q-metric provides a counterexample showing non-vanishing NP constants for asymptotically flat stationary vacuum spacetimes that are only asymptotically algebraically special.

arxiv:2512.00890 v3 · 2025-11-30 · gr-qc

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\usepackage{pith}
\pithnumber{PMSVIEPPAIACAUQSBP7HH4PDQM}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

The q-metric provides a counterexample to the conjecture that all asymptotically flat, stationary, vacuum, and asymptotically algebraically special spacetimes have vanishing NP constants.

C2weakest assumption

That the Zipoy-Voorhees spacetime satisfies the definitions of asymptotic flatness and asymptotic algebraic speciality used in the prior conjecture, and that the explicit NP-constant calculations are free of derivation or coordinate-choice errors.

C3one line summary

The Zipoy-Voorhees q-metric has non-vanishing NP constants and serves as a counterexample showing that algebraic speciality is needed for vanishing NP constants in asymptotically flat stationary vacuum spacetimes.

References

51 extracted · 51 resolved · 0 Pith anchors

[1] The gravitational-wave memory effect.Classical and Quantum Gravity, 27(8):084036, April 2010 2010

[2] Hereditary effects in gravitational radiation.Phys 1992

[3] On BMS invariance of gravitational scattering.Journal of High Energy Physics, 2014(7), July 2014 2014

[4] BMS supertranslations and Weinberg’s soft graviton theorem.Journal of High Energy Physics, 2015(5), May 2015 2015

[5] Hadi Godazgar, Mahdi Godazgar, and Malcolm J. Perry. Asymptotic Gravitational Charges.Physical Review Letters, 125(10), September 2020 2020

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:00.661294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b255411ef02002052120bfe73f1e38309314300e372fc45a6862dc75dccdc91

Aliases

arxiv: 2512.00890 · arxiv_version: 2512.00890v3 · doi: 10.48550/arxiv.2512.00890 · pith_short_12: PMSVIEPPAIAC · pith_short_16: PMSVIEPPAIACAUQS · pith_short_8: PMSVIEPP

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/PMSVIEPPAIACAUQSBP7HH4PDQM \
  | 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: 7b255411ef02002052120bfe73f1e38309314300e372fc45a6862dc75dccdc91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e357f2d0aebb0c02e1fe8f214a01c22234e9da695fd2b95c1990b77d017421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-11-30T13:43:55Z",
    "title_canon_sha256": "198086fbe3dee36716756e4e665bcc2dee7f97a11638264b1c97c7105913c544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.00890",
    "kind": "arxiv",
    "version": 3
  }
}