Pith Number

pith:6ZB2QZWZ

pith:2025:6ZB2QZWZ5RGBGPUPW6AI5X45BV

not attested not anchored not stored refs pending

Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound

Kenta Kasai

arxiv:2506.15636 v1 · 2025-06-18 · 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{6ZB2QZWZ5RGBGPUPW6AI5X45BV}

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

2 papers in Pith

A Two-Branch Finite-Field Construction for Regular CSS LDPC Bases

Heuristic Search for Minimum-Distance Upper-Bound Witnesses in Quantum APM-LDPC Codes

Receipt and verification

First computed	2026-07-05T11:23:47.476091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f643a866d9ec4c133e8fb7808edf9d0d7b7852f3721e8a3cfdd1285c3eac8533

Aliases

arxiv: 2506.15636 · arxiv_version: 2506.15636v1 · doi: 10.48550/arxiv.2506.15636 · pith_short_12: 6ZB2QZWZ5RGB · pith_short_16: 6ZB2QZWZ5RGBGPUP · pith_short_8: 6ZB2QZWZ

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/6ZB2QZWZ5RGBGPUPW6AI5X45BV \
  | 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: f643a866d9ec4c133e8fb7808edf9d0d7b7852f3721e8a3cfdd1285c3eac8533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740a0ebb66dea6da780cc34ef85c1f74d52205154e857c95c3e493590799699f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-18T17:07:04Z",
    "title_canon_sha256": "beb397f573284b0bd263c1e1df220f7e9ff6ba570b17555d59c63d4554e1fb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15636",
    "kind": "arxiv",
    "version": 1
  }
}