Pith Number

pith:BQC73TMJ

pith:2019:BQC73TMJCXXXQI4DC3P2BKHREV

not attested not anchored not stored refs pending

Lower Bounds for Multiplication via Network Coding

Casper Benjamin Freksen, Kasper Green Larsen, Lior Kamma, Peyman Afshani

arxiv:1902.10935 v1 · 2019-02-28 · cs.DS · 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{BQC73TMJCXXXQI4DC3P2BKHREV}

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	2026-05-17T23:52:26.333011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c05fdcd8915ef78238316dfa0a8f1255566f50a1d4ac574c72c8c809297603b

Aliases

arxiv: 1902.10935 · arxiv_version: 1902.10935v1 · doi: 10.48550/arxiv.1902.10935 · pith_short_12: BQC73TMJCXXX · pith_short_16: BQC73TMJCXXXQI4D · pith_short_8: BQC73TMJ

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/BQC73TMJCXXXQI4DC3P2BKHREV \
  | 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: 0c05fdcd8915ef78238316dfa0a8f1255566f50a1d4ac574c72c8c809297603b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0ddf946d20d5f8d2368a2343615cee8a3d2730329154580bc50c929a49721a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-02-28T07:35:19Z",
    "title_canon_sha256": "3a92b0bc15e79d838d93a4c3396cf9e79f51d7be7d7420d84cc5925d0545176f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10935",
    "kind": "arxiv",
    "version": 1
  }
}