Pith Number

pith:2ZOAQSDQ

pith:2026:2ZOAQSDQKCVU6MEF3JAPXOLERJ

not attested not anchored not stored refs pending

Lifting Lifted Product Codes

Jong Yeon Lee, Yuta Hirasaki

arxiv:2607.28621 v1 · 2026-07-30 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZOAQSDQKCVU6MEF3JAPXOLERJ}

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	2026-07-31T01:39:07.977439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d65c08487050ab4f3085da40fbb9648a7c1fecbbcb5245b592a7859a0756d2ce

Aliases

arxiv: 2607.28621 · arxiv_version: 2607.28621v1 · doi: 10.48550/arxiv.2607.28621 · pith_short_12: 2ZOAQSDQKCVU · pith_short_16: 2ZOAQSDQKCVU6MEF · pith_short_8: 2ZOAQSDQ

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/2ZOAQSDQKCVU6MEF3JAPXOLERJ \
  | 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: d65c08487050ab4f3085da40fbb9648a7c1fecbbcb5245b592a7859a0756d2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866db990102c1dd1ac0a33cd152fc62e08e55999996b0fbad1b43da27746acb1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T17:59:18Z",
    "title_canon_sha256": "5c153b382598edd17782f377ae3992f3017cfdcadcb91f153864ab9db95c0b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28621",
    "kind": "arxiv",
    "version": 1
  }
}