Pith Number

pith:5KFKUCBY

pith:2026:5KFKUCBYFXYLP6OQWOQVOQFXQE

not attested not anchored not stored refs pending

A diagrammatic field theory of quantum error correction

Steven Rayan

arxiv:2607.08911 v1 · 2026-07-09 · quant-ph · hep-th · math-ph · math.AG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KFKUCBYFXYLP6OQWOQVOQFXQE}

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	2026-07-13T00:17:26.428700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8aaa08382df0b7f9d0b3a15740b78103670943d0104d334cd142ca024475b5

Aliases

arxiv: 2607.08911 · arxiv_version: 2607.08911v1 · doi: 10.48550/arxiv.2607.08911 · pith_short_12: 5KFKUCBYFXYL · pith_short_16: 5KFKUCBYFXYLP6OQ · pith_short_8: 5KFKUCBY

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/5KFKUCBYFXYLP6OQWOQVOQFXQE \
  | 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: ea8aaa08382df0b7f9d0b3a15740b78103670943d0104d334cd142ca024475b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50539fa7c5e6db0c0e77c6b0450e0d520ad20ec2266d37cb80c60f816b87e402",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-09T20:10:13Z",
    "title_canon_sha256": "38ef0530ed5f90c64de5c817279f8d5f35cedf4c1fadd0a1956c724349c7ab8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08911",
    "kind": "arxiv",
    "version": 1
  }
}