Pith Number

pith:MFAI7AOQ

pith:2026:MFAI7AOQEMBHGXD53ICTLXOX4A

not attested not anchored not stored refs pending

Estimating the performance boundary of Gottesman-Kitaev-Preskill codes and number-phase codes

Dong-Long Hu, Kai-Xuan Wen, Shengyong Li, Ze-Liang Xiang

arxiv:2602.24102 v2 · 2026-02-27 · 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{MFAI7AOQEMBHGXD53ICTLXOX4A}

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	2026-07-23T00:23:39.031492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61408f81d02302735c7dda0535ddd7e00c146172a4861a63617ca808452200d0

Aliases

arxiv: 2602.24102 · arxiv_version: 2602.24102v2 · doi: 10.48550/arxiv.2602.24102 · pith_short_12: MFAI7AOQEMBH · pith_short_16: MFAI7AOQEMBHGXD5 · pith_short_8: MFAI7AOQ

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/MFAI7AOQEMBHGXD53ICTLXOX4A \
  | 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: 61408f81d02302735c7dda0535ddd7e00c146172a4861a63617ca808452200d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9c856b59155eeacfc9ebda094b26e58fbb418f7776a8bf847cf56011a67381",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-02-27T15:42:34Z",
    "title_canon_sha256": "bea4cda4761183c561d6288a4307004f8c83b16831aa8846582e6e27b2b80625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.24102",
    "kind": "arxiv",
    "version": 2
  }
}