Pith Number

pith:25DPL5XY

pith:2026:25DPL5XYR3CRA7FIQGJ6EEQYQ5

not attested not anchored not stored refs pending

Dynamics of a relativistic discrete body: rigidity conditions, and covariant equations of motion

Alexei A. Deriglazov

Rigidity conditions for a relativistic body modeled as discrete particles, when combined with Poincaré-covariant equations, produce exactly six dynamical degrees of freedom.

arxiv:2605.11411 v3 · 2026-05-12 · gr-qc

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\pithnumber{25DPL5XYR3CRA7FIQGJ6EEQYQ5}

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Record completeness

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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 resulting theory has the expected six dynamical degrees of freedom and therefore allows for more general motions than in Born's theory.

C2weakest assumption

That the proposed rigidity conditions are compatible with the added second-order equations in such a way that exactly six degrees of freedom remain and no hidden constraints or inconsistencies appear.

C3one line summary

New Poincaré-covariant rigidity conditions plus equations of motion for a discrete relativistic body give six degrees of freedom and generalize Born's theory.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:17.711876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d746f5f6f88ec5107ca88193e21218875b2d5f0f1288b8ea22d5fdbec9b751bc

Aliases

arxiv: 2605.11411 · arxiv_version: 2605.11411v3 · doi: 10.48550/arxiv.2605.11411 · pith_short_12: 25DPL5XYR3CR · pith_short_16: 25DPL5XYR3CRA7FI · pith_short_8: 25DPL5XY

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/25DPL5XYR3CRA7FIQGJ6EEQYQ5 \
  | 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: d746f5f6f88ec5107ca88193e21218875b2d5f0f1288b8ea22d5fdbec9b751bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6988543992f5b6be9c7c1c3db2b105de900e1441e80b92c46b3b18a5c459b0c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-12T02:01:32Z",
    "title_canon_sha256": "0d6f289b157d98b2a8a128600d4a433316bdc0f831a4602d7d1b34409ec91ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11411",
    "kind": "arxiv",
    "version": 3
  }
}