Pith Number

pith:4KFV4FIT

pith:2015:4KFV4FITVBVRPNBJV4FT6IX5E5

not attested not anchored not stored refs pending

Quantum Lower Bound for Graph Collision Implies Lower Bound for Triangle Detection

J\=anis Iraids, Kaspars Balodis

arxiv:1507.03885 v1 · 2015-07-14 · 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{4KFV4FITVBVRPNBJV4FT6IX5E5}

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	2026-05-18T01:36:52.309064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28b5e1513a86b17b429af0b3f22fd2749d0f2862f18c548fa5358ad8b2b6c5b

Aliases

arxiv: 1507.03885 · arxiv_version: 1507.03885v1 · doi: 10.48550/arxiv.1507.03885 · pith_short_12: 4KFV4FITVBVR · pith_short_16: 4KFV4FITVBVRPNBJ · pith_short_8: 4KFV4FIT

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/4KFV4FITVBVRPNBJV4FT6IX5E5 \
  | 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: e28b5e1513a86b17b429af0b3f22fd2749d0f2862f18c548fa5358ad8b2b6c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b9662423bab41608f7eec49d13a33fdcf30ff122b52cf9e1fd553053335b3b5",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-07-14T15:20:24Z",
    "title_canon_sha256": "1d6038a16d75a9432ba586dd5fa652fe779932db51df37152992100a8a5984a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03885",
    "kind": "arxiv",
    "version": 1
  }
}