Pith Number

pith:XZ54IPJV

pith:2025:XZ54IPJVVGZGPKMZYNTZN4U6WB

not attested not anchored not stored refs pending

Gap between quantum theory based on real and complex numbers is arbitrarily large

David Trillo, Marc Olivier Renou, Remigiusz Augusiak, Shubhayan Sarkar

arxiv:2503.09724 v1 · 2025-03-12 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ54IPJVVGZGPKMZYNTZN4U6WB}

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

Indefinite Causal Order Reverses the Real-Complex Hierarchy

Receipt and verification

First computed	2026-07-05T10:30:06.919242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7bc43d35a9b267a999c36796f29eb052ac58de083778a4b155fe2225f20702

Aliases

arxiv: 2503.09724 · arxiv_version: 2503.09724v1 · doi: 10.48550/arxiv.2503.09724 · pith_short_12: XZ54IPJVVGZG · pith_short_16: XZ54IPJVVGZGPKMZ · pith_short_8: XZ54IPJV

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/XZ54IPJVVGZGPKMZYNTZN4U6WB \
  | 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: be7bc43d35a9b267a999c36796f29eb052ac58de083778a4b155fe2225f20702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef9b0ce4612125769928e2e14bad7c0fb2cf845ea7b6d10bfcd94e11f0e260b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-03-12T18:12:18Z",
    "title_canon_sha256": "fc9040156166e6b08cb111e7340deebd2e3aab0b80b607d6a5338a423d28e42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09724",
    "kind": "arxiv",
    "version": 1
  }
}