Pith Number

pith:QHDG2VM2

pith:2022:QHDG2VM2WFXF3JVBF5WWD5NDNT

not attested not anchored not stored refs pending

Short Proofs of Linear Growth of Quantum Circuit Complexity

Zhi Li

arxiv:2205.05668 v1 · 2022-05-11 · 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{QHDG2VM2WFXF3JVBF5WWD5NDNT}

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	2026-07-05T04:22:28.325543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c66d559ab16e5da6a12f6d61f5a36ce6dc316ef449d4f578d9f5a06d064ea7

Aliases

arxiv: 2205.05668 · arxiv_version: 2205.05668v1 · doi: 10.48550/arxiv.2205.05668 · pith_short_12: QHDG2VM2WFXF · pith_short_16: QHDG2VM2WFXF3JVB · pith_short_8: QHDG2VM2

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/QHDG2VM2WFXF3JVBF5WWD5NDNT \
  | 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: 81c66d559ab16e5da6a12f6d61f5a36ce6dc316ef449d4f578d9f5a06d064ea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63f68df13c2629392167f549939257754495d26c1406706c87cfcbe8b7374b2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-05-11T17:53:57Z",
    "title_canon_sha256": "9401c73879c02934fec5cacc99e2671c7d438e7f7d61158b57a298c0ccab0b8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.05668",
    "kind": "arxiv",
    "version": 1
  }
}