Pith Number

pith:U2ZH2ACN

pith:2026:U2ZH2ACN5YVUKLLCOR7ORPBXDF

not attested not anchored not stored refs pending

Generic Number-of-Copies Amplification for Pseudorandom States

Miri Zenilman, Zvika Brakerski

arxiv:2606.29325 v1 · 2026-06-28 · quant-ph · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2ZH2ACN5YVUKLLCOR7ORPBXDF}

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	2026-06-30T01:18:01.565066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b27d004dee2b452d62747ee8bc371940f5aa7153050297c0420d999c0bcc84

Aliases

arxiv: 2606.29325 · arxiv_version: 2606.29325v1 · doi: 10.48550/arxiv.2606.29325 · pith_short_12: U2ZH2ACN5YVU · pith_short_16: U2ZH2ACN5YVUKLLC · pith_short_8: U2ZH2ACN

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/U2ZH2ACN5YVUKLLCOR7ORPBXDF \
  | 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: a6b27d004dee2b452d62747ee8bc371940f5aa7153050297c0420d999c0bcc84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8ea84204c727cae235b8a398f40ae7a6b75805b7346f3009c82a407b4cacb2b",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-28T10:36:34Z",
    "title_canon_sha256": "8ea0e29bae22cb2b3f0fa3e22f83f4bb7bfa91c38f55b2715b9311a8d368af43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29325",
    "kind": "arxiv",
    "version": 1
  }
}