Pith Number

pith:KCCUPRYH

pith:2003:KCCUPRYHDH565GKENRWEYTY3SD

not attested not anchored not stored refs pending

Polynomial Degree and Lower Bounds in Quantum Complexity: Collision and Element Distinctness with Small Range

Andris Ambainis

arxiv:quant-ph/0305179 v3 · 2003-05-29 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCCUPRYHDH565GKENRWEYTY3SD}

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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

Tight Quantum Lower Bound for k-Distinctness

Receipt and verification

First computed	2026-07-04T15:11:29.004895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508547c70719fbee99446c6c4c4f1b90f530b79253dd865d6153e93675c1c5b8

Aliases

arxiv: quant-ph/0305179 · arxiv_version: quant-ph/0305179v3 · doi: 10.48550/arxiv.quant-ph/0305179 · pith_short_12: KCCUPRYHDH56 · pith_short_16: KCCUPRYHDH565GKE · pith_short_8: KCCUPRYH

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/KCCUPRYHDH565GKENRWEYTY3SD \
  | 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: 508547c70719fbee99446c6c4c4f1b90f530b79253dd865d6153e93675c1c5b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5592061cdf07103885bb34f4eb0fe7f154c9d18bf53bc8a2b4e515759f5d42f0",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-05-29T16:20:35Z",
    "title_canon_sha256": "6498f8f8adab46b35a2a6985472ed893d4cb011f2da5fdcdb76a9ce7d47f69c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0305179",
    "kind": "arxiv",
    "version": 3
  }
}