Pith. sign in
Pith Number

pith:NXUM3PMY

pith:2007:NXUM3PMY2JLXJEGMYVJKQYKDZL
not attested not anchored not stored refs pending

The Multiplicative Quantum Adversary

Robert Spalek (UC Berkeley)

arxiv:quant-ph/0703237 v3 · 2007-03-26 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NXUM3PMY2JLXJEGMYVJKQYKDZL}

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

Receipt and verification
First computed 2026-07-04T15:01:04.692092Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6de8cdbd98d2577490ccc552a86143cad3bcbb498028c6c6dabe8730bb190eef

Aliases

arxiv: quant-ph/0703237 · arxiv_version: quant-ph/0703237v3 · doi: 10.48550/arxiv.quant-ph/0703237 · pith_short_12: NXUM3PMY2JLX · pith_short_16: NXUM3PMY2JLXJEGM · pith_short_8: NXUM3PMY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NXUM3PMY2JLXJEGMYVJKQYKDZL \
  | 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: 6de8cdbd98d2577490ccc552a86143cad3bcbb498028c6c6dabe8730bb190eef
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "227a5430e858b431a50a54eb4fcc46b0669af7db3d4d887aa0172c3679351570",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-26T19:08:19Z",
    "title_canon_sha256": "535a71f2aa37c4161870000c4d4d31613afb4f6abb610fba3dce161ec640c0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703237",
    "kind": "arxiv",
    "version": 3
  }
}