Pith Number

pith:VIGMRDSR

pith:2026:VIGMRDSRBC3F5L5GZI2BFLZQFJ

not attested not anchored not stored refs pending

Asymptotically Optimal Circuit Depth for Diagonal Unitary Synthesis and Compilation on Two-Dimensional Grids

Chengzhuo Xu, Xiao Chen, Zhigang Li, Zhihao Liu

arxiv:2606.17589 v1 · 2026-06-16 · 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{VIGMRDSRBC3F5L5GZI2BFLZQFJ}

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	2026-06-19T16:10:16.694838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa0cc88e5108b65eafa6ca3412af302a4c559e330bef2b19a527150550a9504c

Aliases

arxiv: 2606.17589 · arxiv_version: 2606.17589v1 · doi: 10.48550/arxiv.2606.17589 · pith_short_12: VIGMRDSRBC3F · pith_short_16: VIGMRDSRBC3F5L5G · pith_short_8: VIGMRDSR

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/VIGMRDSRBC3F5L5GZI2BFLZQFJ \
  | 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: aa0cc88e5108b65eafa6ca3412af302a4c559e330bef2b19a527150550a9504c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e85312fcb34f0ac5a38b3a7ae29c55f66f4d9ff749215d58b03890b793aa0009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-16T06:51:26Z",
    "title_canon_sha256": "f5ae9826b7a142e2c5ee070944f3870493b70e4672a60d3aefae76792091cad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17589",
    "kind": "arxiv",
    "version": 1
  }
}