Pith Number

pith:3VGGYNLK

pith:2026:3VGGYNLKNLIE6UOTA2WJRJWR25

not attested not anchored not stored refs pending

Nonasymptotic bounds for quantum purity amplification

Jack Spilecki, John Wright, Thilo Scharnhorst

arxiv:2605.27262 v1 · 2026-05-26 · 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{3VGGYNLKNLIE6UOTA2WJRJWR25}

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	2026-05-27T02:06:08.871117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd4c6c356a6ad04f51d306ac98a6d1d740b242a5c4898b25d9e7163e60845c6b

Aliases

arxiv: 2605.27262 · arxiv_version: 2605.27262v1 · doi: 10.48550/arxiv.2605.27262 · pith_short_12: 3VGGYNLKNLIE · pith_short_16: 3VGGYNLKNLIE6UOT · pith_short_8: 3VGGYNLK

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/3VGGYNLKNLIE6UOTA2WJRJWR25 \
  | 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: dd4c6c356a6ad04f51d306ac98a6d1d740b242a5c4898b25d9e7163e60845c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c46c8a6c875c078e6ddb630ebb82dd7c4b5afdb765d84fbfe14b07499f3791",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-26T16:39:24Z",
    "title_canon_sha256": "fae6f5052f1f38ba20c29d5c3af12b3b27d79824b4ce1e0b6476666d7743d3c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27262",
    "kind": "arxiv",
    "version": 1
  }
}