Pith Number

pith:COI4G6FJ

pith:2026:COI4G6FJ3ARARUYX4MRBNPAHYN

not attested not anchored not stored refs pending

Demystifying Objectivity with Operator Algebra Quantum Error Correction

ChunJun Cao, Gong Cheng, Marin Girard

arxiv:2606.06588 v1 · 2026-06-04 · 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{COI4G6FJ3ARARUYX4MRBNPAHYN}

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.

Receipt and verification

First computed	2026-06-08T00:03:46.116011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1391c378a9d82208d317e32216bc07c357fb9ccc5f4e64b5ac2f635268f9b6f1

Aliases

arxiv: 2606.06588 · arxiv_version: 2606.06588v1 · doi: 10.48550/arxiv.2606.06588 · pith_short_12: COI4G6FJ3ARA · pith_short_16: COI4G6FJ3ARARUYX · pith_short_8: COI4G6FJ

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/COI4G6FJ3ARARUYX4MRBNPAHYN \
  | 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: 1391c378a9d82208d317e32216bc07c357fb9ccc5f4e64b5ac2f635268f9b6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef6f3df25a1708f64c7dd85f0308cab04443936376625fb862971494bb1c126",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-04T18:00:02Z",
    "title_canon_sha256": "8fb63703baa715eb91844454d5a706fd96b09a8b1ac4de563d668328d00cfb31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06588",
    "kind": "arxiv",
    "version": 1
  }
}