Pith Number

pith:UKON54VO

pith:2026:UKON54VOYU7K7ICLWILSV3ZJVW

not attested not anchored not stored refs pending

Approximate Models for Gravitational Memory

M. Elbistan, P. A. Horvathy, P.-M. Zhang, Q-L Zhao

Large-distance approximation accurately describes particle motion in Pöschl-Teller gravitational waves

arxiv:2603.15442 v3 · 2026-03-16 · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{UKON54VOYU7K7ICLWILSV3ZJVW}

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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

The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with a surprisingly good analytic description of particle motion in a gravitational wave with Pöschl-Teller profile.

C2weakest assumption

That the large-distance limit remains accurate for the chosen continuous profiles and that the second Sturm-Liouville solution correctly captures the memory displacement without additional corrections from the wave's finite duration or non-smoothness.

C3one line summary

Large-distance approximations for continuous sandwich gravitational wave profiles yield good analytic descriptions of particle motion for Pöschl-Teller, Gaussian, and square cases, consistent with Carroll symmetry.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-26T02:03:11.567784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a29cdef2aec53eafa04bb2172aef29adb453f0e888283c0ef1ae35d0aef218dd

Aliases

arxiv: 2603.15442 · arxiv_version: 2603.15442v3 · doi: 10.48550/arxiv.2603.15442 · pith_short_12: UKON54VOYU7K · pith_short_16: UKON54VOYU7K7ICL · pith_short_8: UKON54VO

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/UKON54VOYU7K7ICLWILSV3ZJVW \
  | 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: a29cdef2aec53eafa04bb2172aef29adb453f0e888283c0ef1ae35d0aef218dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e70f216d6fbf8f5b5c14067fdfdc2a82c1048e274be0a9201f83c5187045a5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-16T15:44:52Z",
    "title_canon_sha256": "ec8bef3aacd51ac5579924aab3ce5f4d5ec8b71754d0a381626d57e53fc31ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.15442",
    "kind": "arxiv",
    "version": 3
  }
}