Pith Number

pith:4BTOFIT3

pith:2010:4BTOFIT3OA4FKXKXQFIUFQO6HE

not attested not anchored not stored refs pending

Additive Asymmetric Quantum Codes

Martianus Frederic Ezerman, Patrick Sole, San Ling

arxiv:1002.4088 v2 · 2010-02-22 · 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{4BTOFIT3OA4FKXKXQFIUFQO6HE}

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	2026-05-18T03:19:24.538094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e066e2a27b7038555d57815142c1de3928f2cde9d8df07e6f7a37ee6a21322aa

Aliases

arxiv: 1002.4088 · arxiv_version: 1002.4088v2 · doi: 10.48550/arxiv.1002.4088 · pith_short_12: 4BTOFIT3OA4F · pith_short_16: 4BTOFIT3OA4FKXKX · pith_short_8: 4BTOFIT3

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/4BTOFIT3OA4FKXKXQFIUFQO6HE \
  | 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: e066e2a27b7038555d57815142c1de3928f2cde9d8df07e6f7a37ee6a21322aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "410388c55d61a842932248263476d88aba7c795ced12c48c19a05a7a9b0751d4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-02-22T09:51:32Z",
    "title_canon_sha256": "a10c7adb72f822a0c240acc61ede8530e2d67f889e4c3980205e5048a3df7a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4088",
    "kind": "arxiv",
    "version": 2
  }
}