Pith Number

pith:QCCMOV2E

pith:2009:QCCMOV2EEHRH76MGGK475KZX7Y

not attested not anchored not stored refs pending

Bringing Toric Codes to the next dimension

Evgenia Soprunova, Ivan Soprunov

arxiv:0905.1056 v2 · 2009-05-07 · math.AG · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCCMOV2EEHRH76MGGK475KZX7Y}

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	2026-05-18T01:38:54.571072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8084c7574421e27ff98632b9feab37fe0557b9f2f7e2bc1c4d5ab1e4a00be456

Aliases

arxiv: 0905.1056 · arxiv_version: 0905.1056v2 · doi: 10.48550/arxiv.0905.1056 · pith_short_12: QCCMOV2EEHRH · pith_short_16: QCCMOV2EEHRH76MG · pith_short_8: QCCMOV2E

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/QCCMOV2EEHRH76MGGK475KZX7Y \
  | 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: 8084c7574421e27ff98632b9feab37fe0557b9f2f7e2bc1c4d5ab1e4a00be456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db5d016572565c10a248f406a62814402576c1a1461d99f85e6e65076828cde2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-07T15:51:16Z",
    "title_canon_sha256": "7a544ae0580bbeec391c8a85c27cf89091792fb8ba8f210b44d897ab11a8d0c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1056",
    "kind": "arxiv",
    "version": 2
  }
}