Pith Number

pith:TNMDCJ7O

pith:2022:TNMDCJ7OXFWCCCLIRZ5JQP2RYJ

not attested not anchored not stored refs pending

Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems

Jin-Min Liang, Shao-Ming Fei, Shi-Jie Wei

arxiv:2204.07284 v2 · 2022-04-15 · quant-ph · 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{TNMDCJ7OXFWCCCLIRZ5JQP2RYJ}

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	2026-07-05T04:15:16.231909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b583127eeb96c2109688e7a983f51c272a48d444a77925dbfd650eb9a3c9c10

Aliases

arxiv: 2204.07284 · arxiv_version: 2204.07284v2 · doi: 10.48550/arxiv.2204.07284 · pith_short_12: TNMDCJ7OXFWC · pith_short_16: TNMDCJ7OXFWCCCLI · pith_short_8: TNMDCJ7O

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/TNMDCJ7OXFWCCCLIRZ5JQP2RYJ \
  | 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: 9b583127eeb96c2109688e7a983f51c272a48d444a77925dbfd650eb9a3c9c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566009496c4a5ba167b9d74ca4c06ff6320f0c0e1e40b6812a10dc74bd46e887",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-04-15T01:20:33Z",
    "title_canon_sha256": "acf2f7e92b7cd28e179746f9397bd6df631573eb1318e164b4694c2e170753c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07284",
    "kind": "arxiv",
    "version": 2
  }
}