pith. sign in
Pith Number

pith:YU26Q3VN

pith:2015:YU26Q3VNGQG3WX2GS2VSY6APBS
not attested not anchored not stored refs pending

Entropy Games and Matrix Multiplication Games

Aldric Degorre (LIAFA), Catalin Dima (LACL), Eugene Asarin (LIAFA), Florian Horn (LIAFA), Julien Cervelle (LACL), Victor Kozyakin (IITP)

arxiv:1506.04885 v3 · 2015-06-16 · cs.GT · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YU26Q3VNGQG3WX2GS2VSY6APBS}

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 2026-05-18T01:24:03.598638Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c535e86ead340dbb5f4696ab2c780f0cbbd9015385f4f651d2987f102093fa73

Aliases

arxiv: 1506.04885 · arxiv_version: 1506.04885v3 · doi: 10.48550/arxiv.1506.04885 · pith_short_12: YU26Q3VNGQG3 · pith_short_16: YU26Q3VNGQG3WX2G · pith_short_8: YU26Q3VN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YU26Q3VNGQG3WX2GS2VSY6APBS \
  | 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: c535e86ead340dbb5f4696ab2c780f0cbbd9015385f4f651d2987f102093fa73
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "51ba77f822bc711bbbe51a8d54613135cf18f9bb91637921d3785dff64a902a2",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-06-16T09:10:42Z",
    "title_canon_sha256": "3c4b79e63ecf7ceda9ddaec0c2a00e82b47e439c801705b9cfb11ae4bbad842a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04885",
    "kind": "arxiv",
    "version": 3
  }
}