Pith Number

pith:6KMUYN3I

pith:2026:6KMUYN3IM2TBU3WQS4EKWIVYEL

not attested not anchored not stored refs pending

Explicit Separations for One-Query Unitary Synthesis

Alex Lombardi, Fangqi Dong, Fermi Ma

arxiv:2607.26478 v1 · 2026-07-29 · quant-ph · cs.CC · cs.CR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KMUYN3IM2TBU3WQS4EKWIVYEL}

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	2026-07-30T01:20:37.303769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

f2994c376866a61a6ed09708ab22b822d2d4474a559305b317fe7039ae11da1b

Aliases

arxiv: 2607.26478 · arxiv_version: 2607.26478v1 · doi: 10.48550/arxiv.2607.26478 · pith_short_12: 6KMUYN3IM2TB · pith_short_16: 6KMUYN3IM2TBU3WQ · pith_short_8: 6KMUYN3I

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/6KMUYN3IM2TBU3WQS4EKWIVYEL \
  | 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: f2994c376866a61a6ed09708ab22b822d2d4474a559305b317fe7039ae11da1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff80ec88ffa0f6b947c9bba2531354a9051a7f58d13687d8c37446b378c461e7",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-29T05:11:20Z",
    "title_canon_sha256": "69bd64c3c48d543f6a9193a9e250d76401dc8b8aaa776addaa6d607780531c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26478",
    "kind": "arxiv",
    "version": 1
  }
}