Pith Number

pith:JCJXL7IP

pith:2013:JCJXL7IPIT3BODSUVYBYO6M7HE

not attested not anchored not stored refs pending

Homological Product Codes

Matthew B. Hastings, Sergey Bravyi

arxiv:1311.0885 v1 · 2013-11-04 · 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{JCJXL7IPIT3BODSUVYBYO6M7HE}

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

Cups and Gates I: Cohomology invariants and logical quantum operations

Receipt and verification

First computed	2026-05-18T02:39:55.718438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489375fd0f44f6170e54ae0387799f39271bd11797d59403f31c64515bb27080

Aliases

arxiv: 1311.0885 · arxiv_version: 1311.0885v1 · doi: 10.48550/arxiv.1311.0885 · pith_short_12: JCJXL7IPIT3B · pith_short_16: JCJXL7IPIT3BODSU · pith_short_8: JCJXL7IP

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/JCJXL7IPIT3BODSUVYBYO6M7HE \
  | 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: 489375fd0f44f6170e54ae0387799f39271bd11797d59403f31c64515bb27080

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c435b77afad3e1951347f623fe712e0b8cce37563ad4798c99bf71cbdb569062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-04T21:00:49Z",
    "title_canon_sha256": "993b1fe51b242efffc11ec38e7e0b0e51d01d10d8217b7acd5276ca97ce31593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0885",
    "kind": "arxiv",
    "version": 1
  }
}