Pith Number

pith:MIIKQVPQ

pith:2026:MIIKQVPQ3GEQRETRRHZK7GSOBZ

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Eccentricities of millisecond pulsars with intermediate-mass progenitors

Hagai Bareli, Sivan Ginzburg

Intermediate-mass stars form millisecond pulsars with CO white dwarf companions whose eccentricities match those from lower-mass progenitors because eccentricity scales only weakly with envelope mass at detachment.

arxiv:2604.09764 v2 · 2026-04-10 · astro-ph.SR · astro-ph.HE

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\pithnumber{MIIKQVPQ3GEQRETRRHZK7GSOBZ}

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4 Citations open

5 Replications open

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Claims

C1strongest claim

We also theoretically calculate for the first time the eccentricity e in this process, which is set by the fluctuating gravitational quadrupole moment of the progenitor's convective envelope during Roche-lobe detachment. [...] Despite the order of magnitude higher envelope mass at detachment m_e in our case, the eccentricity is barely affected because e∝m_e^{1/6}, explaining why intermediate-mass (m_wd≲0.6 M_⊙) CO white dwarfs have similar eccentricities to lower mass helium white dwarfs.

C2weakest assumption

The assumption that eccentricity is set solely by the fluctuating gravitational quadrupole moment of the convective envelope during Roche-lobe detachment, combined with the premise that intermediate-mass progenitors detach specifically when their non-degenerate cores ignite helium.

C3one line summary

Eccentricities in these systems scale weakly with envelope mass at detachment as e proportional to m_e to the 1/6, making them similar for CO white dwarfs from intermediate-mass stars and helium white dwarfs from lower-mass stars.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-01T01:02:39.246774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6210a855f0d98908927189f2af9a4e0e6e0f60bfe99e63639b7d2ed2a98a57c4

Aliases

arxiv: 2604.09764 · arxiv_version: 2604.09764v2 · doi: 10.48550/arxiv.2604.09764 · pith_short_12: MIIKQVPQ3GEQ · pith_short_16: MIIKQVPQ3GEQRETR · pith_short_8: MIIKQVPQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MIIKQVPQ3GEQRETRRHZK7GSOBZ \
  | 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: 6210a855f0d98908927189f2af9a4e0e6e0f60bfe99e63639b7d2ed2a98a57c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1153f7d115d43670ddf0ca4e7dab68f84066cd7230c9391a88762f38129a0e9c",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2026-04-10T18:00:01Z",
    "title_canon_sha256": "5385d4a3fda4fc0cb8e0750c3e3e488226bf4fdcf0ad37d260a21b46c05ef5e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09764",
    "kind": "arxiv",
    "version": 2
  }
}