Pith Number

pith:XDGZUTDN

pith:2020:XDGZUTDN5MZ6LHECGFQF2VHEJX

not attested not anchored not stored refs pending

Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes

Jeongwan Haah, Matthew B. Hastings, Ryan O'Donnell

arxiv:2009.03921 v2 · 2020-09-08 · quant-ph · cs.IT · math.CO · 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{XDGZUTDN5MZ6LHECGFQF2VHEJX}

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

Low-overhead fault-tolerant quantum computation by gauging logical operators

Receipt and verification

First computed	2026-07-05T08:39:49.365722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cd9a4c6deb33e59c8231605d54e44dee94cb245048a54a5b84741a00e9509c

Aliases

arxiv: 2009.03921 · arxiv_version: 2009.03921v2 · doi: 10.48550/arxiv.2009.03921 · pith_short_12: XDGZUTDN5MZ6 · pith_short_16: XDGZUTDN5MZ6LHEC · pith_short_8: XDGZUTDN

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/XDGZUTDN5MZ6LHECGFQF2VHEJX \
  | 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: b8cd9a4c6deb33e59c8231605d54e44dee94cb245048a54a5b84741a00e9509c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0075a49b22e3b9f22d0711445bdbe04c76b4829665e949d425348ca1b4817a2f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-09-08T18:00:07Z",
    "title_canon_sha256": "5cc45db694d88c607dd42e31f060147135eeb4d3486ef7b3090cd0436eb46d0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03921",
    "kind": "arxiv",
    "version": 2
  }
}