Pith Number

pith:JSX5FU5F

pith:2004:JSX5FU5FPWKHXFWRTP327UT5TV

not attested not anchored not stored refs pending

Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms

Aram Harrow, Dave Bacon, Isaac Chuang

arxiv:quant-ph/0407082 v4 · 2004-07-12 · 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{JSX5FU5FPWKHXFWRTP327UT5TV}

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

2 papers in Pith

Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory

Permutation tests for quantum state identity

Receipt and verification

First computed	2026-07-04T14:49:30.540524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cafd2d3a57d947b96d19bf7afd27d9d5fceeb09ad57caf42596bd3d97fd83d3

Aliases

arxiv: quant-ph/0407082 · arxiv_version: quant-ph/0407082v4 · doi: 10.48550/arxiv.quant-ph/0407082 · pith_short_12: JSX5FU5FPWKH · pith_short_16: JSX5FU5FPWKHXFWR · pith_short_8: JSX5FU5F

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/JSX5FU5FPWKHXFWRTP327UT5TV \
  | 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: 4cafd2d3a57d947b96d19bf7afd27d9d5fceeb09ad57caf42596bd3d97fd83d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "206e0c1da84a96dae72170d1231a89544e3f7b3ebb81dd114e57ba8700074fcb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-07-12T20:09:01Z",
    "title_canon_sha256": "78bb3f6713a55813720603cea3e659c4a64453c7c6d34c74911f00a9105a5ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0407082",
    "kind": "arxiv",
    "version": 4
  }
}