Pith Number

pith:JKYR3U4R

pith:2022:JKYR3U4RUT2CY5XMQCZOYK5VPY

not attested not anchored not stored refs pending

How Much Entanglement Does a Quantum Code Need?

Gaojun Luo, Markus Grassl, Martianus Frederic Ezerman, San Ling

arxiv:2207.05647 v2 · 2022-07-12 · quant-ph · 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{JKYR3U4RUT2CY5XMQCZOYK5VPY}

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

Geometry of the symplectic group and optimal EAQECC codes

Receipt and verification

First computed	2026-07-05T07:39:56.170938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab11dd391a4f42c76ec80b2ec2bb57e119d3eb6ed13ff4162b7178218cd5d63

Aliases

arxiv: 2207.05647 · arxiv_version: 2207.05647v2 · doi: 10.48550/arxiv.2207.05647 · pith_short_12: JKYR3U4RUT2C · pith_short_16: JKYR3U4RUT2CY5XM · pith_short_8: JKYR3U4R

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/JKYR3U4RUT2CY5XMQCZOYK5VPY \
  | 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: 4ab11dd391a4f42c76ec80b2ec2bb57e119d3eb6ed13ff4162b7178218cd5d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6894cd3fccf3cb9247a8fee485cb7077041aedbb8fc7cdb0b3b3ef2e0909abba",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-07-12T16:25:20Z",
    "title_canon_sha256": "0677e6ae9a4fb8d358a19b6994a4016d361f5e614034b9163ed4add58c001cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05647",
    "kind": "arxiv",
    "version": 2
  }
}