Pith Number

pith:QGQ64UU6

pith:2013:QGQ64UU6ALNUWS7U43OLSBOFN5

not attested not anchored not stored refs pending

An application of Khovanov homology to quantum codes

Benjamin Audoux

arxiv:1307.4677 v1 · 2013-07-17 · cs.IT · math.GT · math.IT · 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{QGQ64UU6ALNUWS7U43OLSBOFN5}

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	2026-05-18T00:31:52.588810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a1ee529e02db4b4bf4e6dcb905c56f60e6accfcb77c7163d3e6269be6d7145

Aliases

arxiv: 1307.4677 · arxiv_version: 1307.4677v1 · doi: 10.48550/arxiv.1307.4677 · pith_short_12: QGQ64UU6ALNU · pith_short_16: QGQ64UU6ALNUWS7U · pith_short_8: QGQ64UU6

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/QGQ64UU6ALNUWS7U43OLSBOFN5 \
  | 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: 81a1ee529e02db4b4bf4e6dcb905c56f60e6accfcb77c7163d3e6269be6d7145

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20e3982e337fc438e08db09ea3b66585cde85b56926b054f054b6b9fd914770",
    "cross_cats_sorted": [
      "math.GT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-17T15:46:39Z",
    "title_canon_sha256": "b9397a588f2bcf9efe5e81ef03d8b58cb288339807a8ac75d7ce8d54126f5477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4677",
    "kind": "arxiv",
    "version": 1
  }
}