Pith Number

pith:OF3ARCF2

pith:2026:OF3ARCF2PJX5FI7OOJF3CNCZRS

not attested not anchored not stored refs pending

Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes

Martianus Frederic Ezerman, San Ling, Shitao Li, Yang Li, Zhonghua Sun

arxiv:2607.02170 v1 · 2026-07-02 · cs.IT · 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{OF3ARCF2PJX5FI7OOJF3CNCZRS}

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	2026-07-03T01:17:43.929873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71760888ba7a6fd2a3ee724bb134598cad22552ac9f00a18ca71b667fbf8a9f2

Aliases

arxiv: 2607.02170 · arxiv_version: 2607.02170v1 · doi: 10.48550/arxiv.2607.02170 · pith_short_12: OF3ARCF2PJX5 · pith_short_16: OF3ARCF2PJX5FI7O · pith_short_8: OF3ARCF2

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/OF3ARCF2PJX5FI7OOJF3CNCZRS \
  | 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: 71760888ba7a6fd2a3ee724bb134598cad22552ac9f00a18ca71b667fbf8a9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2954c3731ac49d356255f6dd79a6b5cd8c8bb8790ef06c8cb7f33df0413f14a5",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-07-02T13:41:14Z",
    "title_canon_sha256": "33e72af2ab9dc15a8c857ef3161629f9b66ce0f53e9eca7323054154bcf6c5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02170",
    "kind": "arxiv",
    "version": 1
  }
}