Pith Number

pith:AYNBPUDT

pith:2016:AYNBPUDTKBFSWC3CRCOS53IQPY

not attested not anchored not stored refs pending

The Complexity of Simulation and Matrix Multiplication

Massimo Cairo, Romeo Rizzi

arxiv:1605.02156 v2 · 2016-05-07 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYNBPUDTKBFSWC3CRCOS53IQPY}

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	2026-05-18T01:07:20.560759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061a17d073504b2b0b62889d2eed107e1ce5e480618831a60cc4bafa059181c8

Aliases

arxiv: 1605.02156 · arxiv_version: 1605.02156v2 · doi: 10.48550/arxiv.1605.02156 · pith_short_12: AYNBPUDTKBFS · pith_short_16: AYNBPUDTKBFSWC3C · pith_short_8: AYNBPUDT

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/AYNBPUDTKBFSWC3CRCOS53IQPY \
  | 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: 061a17d073504b2b0b62889d2eed107e1ce5e480618831a60cc4bafa059181c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c974fc8c55a1ecc807afe8be3feafc321256742c75004a4cc23384799f1f5286",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-05-07T08:18:31Z",
    "title_canon_sha256": "9c73ae6d9688a0db94a6fc608f1203a810b087c96e05429cc1a8bdcd9dfe6b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02156",
    "kind": "arxiv",
    "version": 2
  }
}