Pith Number

pith:HXXXVRU4

pith:2014:HXXXVRU42N5OQLAYUTN32YPFQK

not attested not anchored not stored refs pending

A direct proof for Lovett's bound on the communication complexity of low rank matrices

Thomas Rothvoss

arxiv:1409.6366 v1 · 2014-09-22 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXXXVRU42N5OQLAYUTN32YPFQK}

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

Computationally Efficient Collaborative Communication Via Regularity-Based Coarsening

Receipt and verification

First computed	2026-05-18T02:42:07.298414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3def7ac69cd37ae82c18a4dbbd61e58296d6034fa7d019e8631303db61cb805b

Aliases

arxiv: 1409.6366 · arxiv_version: 1409.6366v1 · doi: 10.48550/arxiv.1409.6366 · pith_short_12: HXXXVRU42N5O · pith_short_16: HXXXVRU42N5OQLAY · pith_short_8: HXXXVRU4

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/HXXXVRU42N5OQLAYUTN32YPFQK \
  | 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: 3def7ac69cd37ae82c18a4dbbd61e58296d6034fa7d019e8631303db61cb805b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0672555490e43d0bf9b899f05af16bbc86ee8ab9b2f03cc4218dd1ebc6bdc5fa",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-09-22T22:40:24Z",
    "title_canon_sha256": "9701a79a1d858e2affb16c0f7e46803cff9786d10849199aafbaf56ed12526fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6366",
    "kind": "arxiv",
    "version": 1
  }
}