Pith Number

pith:4GG7SOKW

pith:2026:4GG7SOKWW7IIGFJCB5QXQSDW4V

not attested not anchored not stored refs pending

Efficient Lindbladian Learning from Constant-Time Pauli Responses

Jiaxing Song, Xiao Yuan, Yukun Zhang, Yusen Wu

arxiv:2607.25795 v1 · 2026-07-28 · 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{4GG7SOKWW7IIGFJCB5QXQSDW4V}

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	2026-07-29T01:26:03.104479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e18df93956b7d08315220f61784876e56c1d6e339208f8f8f9dac727dd582e2b

Aliases

arxiv: 2607.25795 · arxiv_version: 2607.25795v1 · doi: 10.48550/arxiv.2607.25795 · pith_short_12: 4GG7SOKWW7II · pith_short_16: 4GG7SOKWW7IIGFJC · pith_short_8: 4GG7SOKW

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/4GG7SOKWW7IIGFJCB5QXQSDW4V \
  | 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: e18df93956b7d08315220f61784876e56c1d6e339208f8f8f9dac727dd582e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0fa327777716e4225b5044824c42d8928458df658bc0707a71a01e370a4266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-28T14:45:07Z",
    "title_canon_sha256": "ca9dbd3021fa0f118950f850bd76ead9d051286e992d095cdbf4dfed504291b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25795",
    "kind": "arxiv",
    "version": 1
  }
}