Pith Number

pith:TF7O44UY

pith:2025:TF7O44UYOKJI7KMVS6JQBX4EJQ

not attested not anchored not stored refs pending

On whether quantum theory needs complex numbers: the foil theories perspective

Daniel Centeno, David Schmid, Jacopo Surace, Maria Ciudad Ala\~n\'on, Marina Maciel Ansanelli, Robert W. Spekkens, Ruizhi Liu, Y\`il\`e Y\=ing

arxiv:2506.08091 v1 · 2025-06-09 · 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{TF7O44UYOKJI7KMVS6JQBX4EJQ}

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

2 papers in Pith

Many-body chirality of topological stabilizer states

Indefinite Causal Order Reverses the Real-Complex Hierarchy

Receipt and verification

First computed	2026-07-05T11:18:44.707451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997eee729872928fa995979300df844c1b487a309d2171c05a376e73dc536038

Aliases

arxiv: 2506.08091 · arxiv_version: 2506.08091v1 · doi: 10.48550/arxiv.2506.08091 · pith_short_12: TF7O44UYOKJI · pith_short_16: TF7O44UYOKJI7KMV · pith_short_8: TF7O44UY

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/TF7O44UYOKJI7KMVS6JQBX4EJQ \
  | 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: 997eee729872928fa995979300df844c1b487a309d2171c05a376e73dc536038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e4c4b9653e90c2085bbbf3ae33a93c7a50a7ec1b22ef34d26fc20a11b71eab",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-09T18:00:02Z",
    "title_canon_sha256": "1e480b39020aebb1675d37398ae5d559c71801f37ac8143d6e012f34625ef0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08091",
    "kind": "arxiv",
    "version": 1
  }
}