Pith Number

pith:56MYRGBH

pith:2026:56MYRGBHSWIDXPTAL7JEY7GT3X

not attested not anchored not stored refs pending

Context-Verified, Error-Budget-Aware Decomposition Selection for Toffoli Networks

Karol Bartkiewicz, Patrycja Tulewicz

arxiv:2606.31791 v1 · 2026-06-30 · 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{56MYRGBHSWIDXPTAL7JEY7GT3X}

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	2026-07-01T01:18:14.900739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9988982795903bbe605fd24c7cd3ddfaabda28915b1e94e07a7a47be857a7c

Aliases

arxiv: 2606.31791 · arxiv_version: 2606.31791v1 · doi: 10.48550/arxiv.2606.31791 · pith_short_12: 56MYRGBHSWID · pith_short_16: 56MYRGBHSWIDXPTA · pith_short_8: 56MYRGBH

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/56MYRGBHSWIDXPTAL7JEY7GT3X \
  | 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: ef9988982795903bbe605fd24c7cd3ddfaabda28915b1e94e07a7a47be857a7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe95d699646df71eb6f720492e23ff0a504635f08fd7747a71f9e32409b013d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-30T15:11:28Z",
    "title_canon_sha256": "70a296a164f26a141e2d8244094cf9388b572e0cf4c452d01a3eee7a6b6ebd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31791",
    "kind": "arxiv",
    "version": 1
  }
}