Pith Number

pith:5MW575AJ

pith:2026:5MW575AJKSRA6IDEP5OG6IA2S6

not attested not anchored not stored refs pending

Efficient Depth--Ancilla Tradeoffs for Hamming Weight Computation and Symmetric Boolean Functions

Junhong Nie, Pei Yuan, Shengyu Zhang, Wei Zi

arxiv:2608.04627 v1 · 2026-08-05 · 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{5MW575AJKSRA6IDEP5OG6IA2S6}

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	2026-08-06T01:36:17.343827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2ddff40954a20f20647f5c6f201a979e90895e44d9e77fe5f17a85947dab1b

Aliases

arxiv: 2608.04627 · arxiv_version: 2608.04627v1 · doi: 10.48550/arxiv.2608.04627 · pith_short_12: 5MW575AJKSRA · pith_short_16: 5MW575AJKSRA6IDE · pith_short_8: 5MW575AJ

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/5MW575AJKSRA6IDEP5OG6IA2S6 \
  | 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: eb2ddff40954a20f20647f5c6f201a979e90895e44d9e77fe5f17a85947dab1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d9ee0bfc2190a439b53a2ec8498ed7689b0d43dcd4f0cfd4cb59e6a8a55a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-05T09:42:03Z",
    "title_canon_sha256": "9c29cf724b2ff651fee149b920cd429dfb7372620d6505c12b6b5e39ad1a4c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04627",
    "kind": "arxiv",
    "version": 1
  }
}