Pith Number

pith:ANPHZMOF

pith:2026:ANPHZMOFYTJFS2VPKQOM3S5PBO

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A Falsifiable Timing Test for the Double-White-Dwarf Model of Long-Period Transients

Di Wang, Fa-Yin Wang, Yejing Zhan

The double-white-dwarf model for long-period transients predicts a joint drift in burst and modulation periods that reaches tens of seconds within one year.

arxiv:2604.11317 v2 · 2026-04-13 · astro-ph.HE

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Claims

C1strongest claim

if the burst period is the orbital clock and the long-period modulation is a spin-orbit beat, then the modulation period is not a free timescale. Instead it must evolve jointly with the orbital clock and the spin clock through gravitational-wave losses, magnetic dissipation, and tidal interaction. For CHIME/ILT J1634+44-like parameters, we find that the beat clock drift |P_b dot|∼10^{-10} s s^{-1}, implying an observed-minus-calculated drift of tens of seconds in one year.

C2weakest assumption

The assumption that the observed 841 s and 4206 s periods correspond exactly to the orbital period and spin-orbit beat in an ultra-compact double-white-dwarf system, with evolution dominated by gravitational-wave losses, magnetic dissipation, and tidal interaction and no other dominant effects.

C3one line summary

The double-white-dwarf model for sources like CHIME/ILT J1634+44 predicts a beat-period drift of |P_b dot| ~ 10^{-10} s s^{-1}, producing tens of seconds of O-C timing drift in one year and enabling a minimal falsifiable test via joint period and derivative measurements.

Receipt and verification

First computed	2026-06-23T02:12:48.998895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

035e7cb1c5c4d2596aaf541ccdcbaf0baa5126959c8ed681d8f27c15360e8d85

Aliases

arxiv: 2604.11317 · arxiv_version: 2604.11317v2 · doi: 10.48550/arxiv.2604.11317 · pith_short_12: ANPHZMOFYTJF · pith_short_16: ANPHZMOFYTJFS2VP · pith_short_8: ANPHZMOF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ANPHZMOFYTJFS2VPKQOM3S5PBO \
  | 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: 035e7cb1c5c4d2596aaf541ccdcbaf0baa5126959c8ed681d8f27c15360e8d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7841becd8e57529f4854ff8e4025294d1b8facd1acd1dbb55d7286fcf33801f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-04-13T11:19:37Z",
    "title_canon_sha256": "1263d9b99fd8b50a41ffae17a99a989fd88e237c2e1003684b5175bdad04103e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11317",
    "kind": "arxiv",
    "version": 2
  }
}