Pith Number

pith:37MHZZ4E

pith:2011:37MHZZ4EOIB6CPKLI25V5FDT5L

not attested not anchored not stored refs pending

Collapse of the Hierarchy of Constant-Depth Exact Quantum Circuits

Seiichiro Tani, Yasuhiro Takahashi

arxiv:1112.6063 v2 · 2011-12-28 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37MHZZ4EOIB6CPKLI25V5FDT5L}

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.

Cited by

1 paper in Pith

Query and Depth Upper Bounds for Quantum Unitaries via Grover Search

Receipt and verification

First computed	2026-05-18T01:00:17.386732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd87ce7847203e13d4b46bb5e9473eacf7e412aa515b5b926257d1e75a665c6

Aliases

arxiv: 1112.6063 · arxiv_version: 1112.6063v2 · doi: 10.48550/arxiv.1112.6063 · pith_short_12: 37MHZZ4EOIB6 · pith_short_16: 37MHZZ4EOIB6CPKL · pith_short_8: 37MHZZ4E

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/37MHZZ4EOIB6CPKLI25V5FDT5L \
  | 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: dfd87ce7847203e13d4b46bb5e9473eacf7e412aa515b5b926257d1e75a665c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60e27f2d32705c5d4b7c9fb7bcf096591877e89681074334122aceca65e8fd58",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-28T05:03:39Z",
    "title_canon_sha256": "e05d7a173cab7a38619b275f58dfb6d6d3b3692c753e2a0822ad0a2758517cc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6063",
    "kind": "arxiv",
    "version": 2
  }
}