Pith Number

pith:EBNC2SE4

pith:2026:EBNC2SE4QL2GL554QWJ3SBXSBW

not attested not anchored not stored refs pending

Efficient Quantum Modular Reduction: Crandall reduction and its Fault-tolerant resource analysis

Changyeol Lee, Ilkwon Sohn, Kwangil Bae, Sungyeon Kook, Wonhyuk Lee, Wooyeong Song

arxiv:2608.11563 v1 · 2026-08-12 · 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{EBNC2SE4QL2GL554QWJ3SBXSBW}

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	2026-08-13T00:22:11.685219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

205a2d489c82f465f7bc8593b906f20d8147aa27928097f04438eebe2c73c397

Aliases

arxiv: 2608.11563 · arxiv_version: 2608.11563v1 · doi: 10.48550/arxiv.2608.11563 · pith_short_12: EBNC2SE4QL2G · pith_short_16: EBNC2SE4QL2GL554 · pith_short_8: EBNC2SE4

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/EBNC2SE4QL2GL554QWJ3SBXSBW \
  | 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: 205a2d489c82f465f7bc8593b906f20d8147aa27928097f04438eebe2c73c397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2d28f72464cb36dd91536a4acfb29c857945b55fd13599014c7296d1d68f5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-12T02:07:24Z",
    "title_canon_sha256": "afd420f9b5a1878a32c6fb2a036a3bd021ebb2a641ef898e8300a78e705b208f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11563",
    "kind": "arxiv",
    "version": 1
  }
}