Pith Number

pith:AYJQIBII

pith:2025:AYJQIBIIEFX4WJUF33PJOLHBOR

not attested not anchored not stored refs pending

Cyclic functional causal models beyond unique solvability with a graph separation theorem

Carla Ferradini, Victor Gitton, V. Vilasini

arxiv:2502.04171 v2 · 2025-02-06 · math.ST · quant-ph · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYJQIBIIEFX4WJUF33PJOLHBOR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Cited by

1 paper in Pith

Impossibility of superluminal signalling rules out causal loops in conical spacetimes

Receipt and verification

First computed	2026-07-05T10:10:49.707130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0613040508216fcb2685dede972ce17465ca7ac778d7b09481fc71afd716b7f2

Aliases

arxiv: 2502.04171 · arxiv_version: 2502.04171v2 · doi: 10.48550/arxiv.2502.04171 · pith_short_12: AYJQIBIIEFX4 · pith_short_16: AYJQIBIIEFX4WJUF · pith_short_8: AYJQIBII

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/AYJQIBIIEFX4WJUF33PJOLHBOR \
  | 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: 0613040508216fcb2685dede972ce17465ca7ac778d7b09481fc71afd716b7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416e64d8a3671b7686fbd7071a6db0661da248c9da47510d9f662da7f9fb4c8c",
    "cross_cats_sorted": [
      "quant-ph",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-06T16:02:57Z",
    "title_canon_sha256": "75cc2bbeb6d5635910af7079c7a0d43c7f4507dc02848f228ed4c70a90e55087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04171",
    "kind": "arxiv",
    "version": 2
  }
}