Pith Number

pith:4HBGPYBT

pith:2026:4HBGPYBTCW2TVZLT5FVD6SSHKO

not attested not anchored not stored refs pending

Nearly optimal quantum circuits for Boolean oracles

Junhong Nie, Wei Zi

arxiv:2607.28402 v1 · 2026-07-30 · 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{4HBGPYBTCW2TVZLT5FVD6SSHKO}

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	2026-07-31T01:37:32.600757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

e1c267e03315b53ae573e96a3f4a475380a622a53df30cc6a12fdbe0d1fa762d

Aliases

arxiv: 2607.28402 · arxiv_version: 2607.28402v1 · doi: 10.48550/arxiv.2607.28402 · pith_short_12: 4HBGPYBTCW2T · pith_short_16: 4HBGPYBTCW2TVZLT · pith_short_8: 4HBGPYBT

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/4HBGPYBTCW2TVZLT5FVD6SSHKO \
  | 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: e1c267e03315b53ae573e96a3f4a475380a622a53df30cc6a12fdbe0d1fa762d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73fff016b094afee4fbc4119425cf6675c5846e3993f775aac23c8f8fea5b1a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-30T15:51:53Z",
    "title_canon_sha256": "f1c4de3e4560c659a09fe9e36b75a635c3c3c78a6ff7e4d3c11561384e21fc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28402",
    "kind": "arxiv",
    "version": 1
  }
}