Pith Number

pith:DXFZIVZD

pith:2026:DXFZIVZDOSEBH2SCN434H4RWHO

not attested not anchored not stored refs pending

LDGM-Based Quantum Codes for Fault-Tolerant Quantum Computation

Hanqing Lou, Javier Garcia-Frias, Kejing Liu, Yumin Li

arxiv:2607.15159 v1 · 2026-07-16 · 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{DXFZIVZDOSEBH2SCN434H4RWHO}

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	2026-07-17T01:22:12.262578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dcb945723748813ea426f37c3f2363ba37145fac1217aaf0ece059f6b49b9ed

Aliases

arxiv: 2607.15159 · arxiv_version: 2607.15159v1 · doi: 10.48550/arxiv.2607.15159 · pith_short_12: DXFZIVZDOSEB · pith_short_16: DXFZIVZDOSEBH2SC · pith_short_8: DXFZIVZD

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/DXFZIVZDOSEBH2SCN434H4RWHO \
  | 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: 1dcb945723748813ea426f37c3f2363ba37145fac1217aaf0ece059f6b49b9ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be7b7c4e540bfa3e17bcff6e6b9d813be97a68238cda78903c1710683260260",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T16:02:16Z",
    "title_canon_sha256": "9f44e8ca4650ab315cf454a1c1f4c3e18e7c858d6fec5cf5451b3538edd7dbb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15159",
    "kind": "arxiv",
    "version": 1
  }
}