Pith Number

pith:IFC75VDX

pith:2018:IFC75VDX7M7UTUDBXNY5Y7JYEZ

not attested not anchored not stored refs pending

The geometry of rank decompositions of matrix multiplication II: $3\times 3$ matrices

Christian Ikenmeyer, Grey Ballard, J.M. Landsberg, Nick Ryder

arxiv:1801.00843 v1 · 2018-01-02 · 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{IFC75VDX7M7UTUDBXNY5Y7JYEZ}

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	2026-05-18T00:26:48.622360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4145fed477fb3f49d061bb71dc7d38267dec34ec4d787d820d681438e14d2036

Aliases

arxiv: 1801.00843 · arxiv_version: 1801.00843v1 · doi: 10.48550/arxiv.1801.00843 · pith_short_12: IFC75VDX7M7U · pith_short_16: IFC75VDX7M7UTUDB · pith_short_8: IFC75VDX

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/IFC75VDX7M7UTUDBXNY5Y7JYEZ \
  | 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: 4145fed477fb3f49d061bb71dc7d38267dec34ec4d787d820d681438e14d2036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba5985c4a8187b4923b38a38dd9e87e56d4e3e9ee261cb5f0c025d623534602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-01-02T21:38:18Z",
    "title_canon_sha256": "373385b7a93197d689c0041b26a1da865c844cf1ab98a27fe05afc9f269804c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00843",
    "kind": "arxiv",
    "version": 1
  }
}