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Pith Number

pith:L56IXVRN

pith:2010:L56IXVRNWPD3SVRPTZH7O7Q7EN
not attested not anchored not stored refs pending

Dual universality of hash functions and its applications to quantum cryptography

Masahito Hayashi, Toyohiro Tsurumaru

arxiv:1101.0064 v4 · 2010-12-30 · quant-ph · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L56IXVRNWPD3SVRPTZH7O7Q7EN}

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 2026-05-18T03:18:18.867254Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5f7c8bd62db3c7b9562f9e4ff77e1f234d4c797bda1fc347e6ffe138d8dac06e

Aliases

arxiv: 1101.0064 · arxiv_version: 1101.0064v4 · doi: 10.48550/arxiv.1101.0064 · pith_short_12: L56IXVRNWPD3 · pith_short_16: L56IXVRNWPD3SVRP · pith_short_8: L56IXVRN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L56IXVRNWPD3SVRPTZH7O7Q7EN \
  | 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: 5f7c8bd62db3c7b9562f9e4ff77e1f234d4c797bda1fc347e6ffe138d8dac06e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8d5ffda9728518b5cd5c19fd21de85fe073c25820ea1f1091890d9cf653e297a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-30T10:24:42Z",
    "title_canon_sha256": "9a882b2b132e8ae41c0499fa3c7d60edde4caf1cc7176f675fb3ae672dacf3bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0064",
    "kind": "arxiv",
    "version": 4
  }
}