Pith Number

pith:HH2Z6I4C

pith:2001:HH2Z6I4C5CE2Z7NWRH7SXU2TSH

not attested not anchored not stored refs pending

Quantum lower bounds for the collision and the element distinctness problems

Yaoyun Shi

arxiv:quant-ph/0112086 v1 · 2001-12-15 · 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{HH2Z6I4C5CE2Z7NWRH7SXU2TSH}

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

Quantum Communication Lower Bounds for Search Problems via Matrix Discrepancy

Receipt and verification

First computed	2026-05-18T04:09:36.527992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f59f2382e889acfdb689ff2bd35391e32c94c93b83c995f2295b0a6fe7c277

Aliases

arxiv: quant-ph/0112086 · arxiv_version: quant-ph/0112086v1 · doi: 10.48550/arxiv.quant-ph/0112086 · pith_short_12: HH2Z6I4C5CE2 · pith_short_16: HH2Z6I4C5CE2Z7NW · pith_short_8: HH2Z6I4C

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/HH2Z6I4C5CE2Z7NWRH7SXU2TSH \
  | 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: 39f59f2382e889acfdb689ff2bd35391e32c94c93b83c995f2295b0a6fe7c277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45946c3e78e3ef48a4e8029f50ed82d6df974203ebc154a64fbae6918832eea1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-12-15T06:00:58Z",
    "title_canon_sha256": "25495549dbc7d4006400fbd5ea973ee54fd6761f98cf903d6d5195de87181c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0112086",
    "kind": "arxiv",
    "version": 1
  }
}