Pith Number

pith:U7RNADEH

pith:2026:U7RNADEHW47ERT4MSKFKD3HFOD

not attested not anchored not stored refs pending

Encoding complex-balanced thermalization in quantum circuits

Haiqing Lin, Peigeng Zhong, Shijie Hu, Xiaoqun Wang, Yiting Mao

arxiv:2601.04998 v2 · 2026-01-08 · 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{U7RNADEHW47ERT4MSKFKD3HFOD}

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	2026-06-10T01:09:52.135279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e2d00c87b73e48cf8c928aa1ece570ed90af53c32294aef4b25984a511fe8e

Aliases

arxiv: 2601.04998 · arxiv_version: 2601.04998v2 · doi: 10.48550/arxiv.2601.04998 · pith_short_12: U7RNADEHW47E · pith_short_16: U7RNADEHW47ERT4M · pith_short_8: U7RNADEH

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/U7RNADEHW47ERT4MSKFKD3HFOD \
  | 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: a7e2d00c87b73e48cf8c928aa1ece570ed90af53c32294aef4b25984a511fe8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52e3479067cc89316b055c75c9089d0c5090597b4663979b0ee0961389a7da4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-08T14:58:38Z",
    "title_canon_sha256": "9f29751c37d56e9960d3b6675de6f620915c6321e999d28de0a4eeac2aed6666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.04998",
    "kind": "arxiv",
    "version": 2
  }
}