Pith Number

pith:HX55DRKA

pith:2006:HX55DRKADTKQFSQY67YYYCMR5A

not attested not anchored not stored refs pending

On parallel composition of zero-knowledge proofs with black-box quantum simulators

Alexandra Kolla, Ben W. Reichardt, Gatis Midrijanis, Rahul Jain

arxiv:quant-ph/0607211 v4 · 2006-07-28 · 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{HX55DRKADTKQFSQY67YYYCMR5A}

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	2026-07-04T15:44:02.804860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dfbd1c5401cd502ca18f7f18c0991e81a84883332a957339a797044e3acda98

Aliases

arxiv: quant-ph/0607211 · arxiv_version: quant-ph/0607211v4 · doi: 10.48550/arxiv.quant-ph/0607211 · pith_short_12: HX55DRKADTKQ · pith_short_16: HX55DRKADTKQFSQY · pith_short_8: HX55DRKA

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/HX55DRKADTKQFSQY67YYYCMR5A \
  | 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: 3dfbd1c5401cd502ca18f7f18c0991e81a84883332a957339a797044e3acda98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348426d7d684b3b823ac301eaac80009d33670e3b7ec4e873ad79c38d1d53a7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-07-28T19:19:07Z",
    "title_canon_sha256": "10fd55b25f014372df7d8447c57aab030eb5b28805f2f02ba1342ad603410c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0607211",
    "kind": "arxiv",
    "version": 4
  }
}