Pith Number

pith:E3YWNKGD

pith:2026:E3YWNKGDLTRYE62LGEOO2KUMPJ

not attested not anchored not stored refs pending

Decoupling 2D translation-invariant topological CSS codes

Jinguo Liu, Mingxin He, Yifei Wang, Yingfei Gu, Zhongyi Ni

arxiv:2608.09915 v1 · 2026-08-10 · quant-ph · cond-mat.str-el · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3YWNKGDLTRYE62LGEOO2KUMPJ}

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	2026-08-11T02:25:26.291993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f166a8c35ce3827b4b311ced2a8c7a50f7d0aeb89af100a01b584c8b6f11bb

Aliases

arxiv: 2608.09915 · arxiv_version: 2608.09915v1 · doi: 10.48550/arxiv.2608.09915 · pith_short_12: E3YWNKGDLTRY · pith_short_16: E3YWNKGDLTRYE62L · pith_short_8: E3YWNKGD

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/E3YWNKGDLTRYE62LGEOO2KUMPJ \
  | 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: 26f166a8c35ce3827b4b311ced2a8c7a50f7d0aeb89af100a01b584c8b6f11bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a197e2e898cccae0b97be8b60ff36a8a76a9fce969fd1ed641137cbe522903",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-10T17:56:05Z",
    "title_canon_sha256": "b6518a9e17c9561ac39d539ec459cfec5af74f3e794685a2a411bdcead390bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09915",
    "kind": "arxiv",
    "version": 1
  }
}