Pith Number

pith:PMX3BM3A

pith:2019:PMX3BM3APSVIFGNQAZXQAD3I7S

not attested not anchored not stored refs pending

The Role of Multiplicative Complexity in Compiling Low T-count Oracle Circuits

Earl Campbell, Giovanni De Micheli, Giulia Meuli, Martin Roetteler, Mathias Soeken

arxiv:1908.01609 v1 · 2019-08-05 · quant-ph · cs.ET

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMX3BM3APSVIFGNQAZXQAD3I7S}

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	2026-07-04T23:51:32.158387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2fb0b3607caa8299b0066f000f68fc806b95cb9018e2d96ef2cdbacc99f8f0

Aliases

arxiv: 1908.01609 · arxiv_version: 1908.01609v1 · doi: 10.48550/arxiv.1908.01609 · pith_short_12: PMX3BM3APSVI · pith_short_16: PMX3BM3APSVIFGNQ · pith_short_8: PMX3BM3A

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/PMX3BM3APSVIFGNQAZXQAD3I7S \
  | 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: 7b2fb0b3607caa8299b0066f000f68fc806b95cb9018e2d96ef2cdbacc99f8f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "950054cc7e21d9a3cc34ef6a1f63135e4442ef145ab0e9655faae4153cb0fed8",
    "cross_cats_sorted": [
      "cs.ET"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-05T13:26:26Z",
    "title_canon_sha256": "a2761047fec4d57f62b1051252f89434170bb7cf97ed6f62a21117c0bfb76da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01609",
    "kind": "arxiv",
    "version": 1
  }
}