Pith Number

pith:WGIYM4PC

pith:2022:WGIYM4PCRS5VLRIYHOA4TWFE4W

not attested not anchored not stored refs pending

Complexity of quantum circuits via sensitivity, magic, and coherence

Arthur Jaffe, Dax Enshan Koh, Kaifeng Bu, Lu Li, Roy J. Garcia

arxiv:2204.12051 v1 · 2022-04-26 · quant-ph · cs.CC · 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{WGIYM4PCRS5VLRIYHOA4TWFE4W}

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.

Cited by

1 paper in Pith

Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm

Receipt and verification

First computed	2026-07-05T08:41:35.558610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1918671e28cbb55c5183b81c9d8a4e5b1497cf424781ae64ff37aacb64e3644

Aliases

arxiv: 2204.12051 · arxiv_version: 2204.12051v1 · doi: 10.48550/arxiv.2204.12051 · pith_short_12: WGIYM4PCRS5V · pith_short_16: WGIYM4PCRS5VLRIY · pith_short_8: WGIYM4PC

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/WGIYM4PCRS5VLRIYHOA4TWFE4W \
  | 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: b1918671e28cbb55c5183b81c9d8a4e5b1497cf424781ae64ff37aacb64e3644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4dff17098ec2bf98361259885a5d2ddbae5fce2ebdcd14d9558356273126bcb",
    "cross_cats_sorted": [
      "cs.CC",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-04-26T03:15:09Z",
    "title_canon_sha256": "687aae3cc50ac6f438d56f4101a73f84e42417881f5e5df8f1e8436f220bfa16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.12051",
    "kind": "arxiv",
    "version": 1
  }
}