Pith Number

pith:2UVEK2HP

pith:2024:2UVEK2HPYFELIC36QK336TF3A4

not attested not anchored not stored refs pending

Characterizing Signalling: Connections between Causal Inference and Space-time Geometry

Maarten Grothus, V. Vilasini

A correspondence holds between conical space-times and faithful causal models, aligning their signalling constraints.

arxiv:2403.00916 v4 · 2024-03-01 · gr-qc · math-ph · math.MP · math.ST · quant-ph · stat.TH

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\usepackage{pith}
\pithnumber{2UVEK2HPYFELIC36QK336TF3A4}

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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

✓ 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

we prove a correspondence between conical space-times and faithful causal models: in both cases, there emerges a parallel between these two types of constraints.

C2weakest assumption

The framework introduced in PRA, 106, 032204 (2022) is assumed to correctly and formally connect information-theoretic causality (via affects relations) with relativistic principles such as no superluminal signalling, allowing the embedding and correspondence results to follow. (Abstract, opening sentence: 'Leveraging a framework introduced in PRA, 106, 032204 (2022), which formally connects these two notions in general physical theories')

C3one line summary

Introduces the order-theoretic property of conicality for space-times and proves a correspondence between conical space-times and faithful information-theoretic causal models under no-superluminal-signalling constraints.

Cited by

2 papers in Pith

Impossibility of superluminal signalling rules out causal loops in conical spacetimes

On the Conicality of Causally Simple, Future Cohesive Spacetimes

Receipt and verification

First computed	2026-07-17T01:21:38.893721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52a4568efc148b40b7e82b7bf4cbb073d74c97b6c19016a2e30a2fe84b505d3

Aliases

arxiv: 2403.00916 · arxiv_version: 2403.00916v4 · doi: 10.48550/arxiv.2403.00916 · pith_short_12: 2UVEK2HPYFEL · pith_short_16: 2UVEK2HPYFELIC36 · pith_short_8: 2UVEK2HP

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/2UVEK2HPYFELIC36QK336TF3A4 \
  | 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: d52a4568efc148b40b7e82b7bf4cbb073d74c97b6c19016a2e30a2fe84b505d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143690e508a61928b2990dd45daa4d793702feb89061ddc0c0d60e3be6bddd63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "quant-ph",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-03-01T19:00:45Z",
    "title_canon_sha256": "fffd491452f669a8c202a33128363931ee4178fab4e8747b642855f26f85394b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.00916",
    "kind": "arxiv",
    "version": 4
  }
}