Pith Number

pith:PVTPT3HF

pith:2017:PVTPT3HFZXXITTNZBVU3KCMTHJ

not attested not anchored not stored refs pending

Small-depth Multilinear Formula Lower Bounds for Iterated Matrix Multiplication, with Applications

Nutan Limaye, Srikanth Srinivasan, Suryajith Chillara

arxiv:1710.05481 v1 · 2017-10-16 · 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{PVTPT3HFZXXITTNZBVU3KCMTHJ}

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	2026-05-18T00:32:49.250224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d66f9ece5cdee89cdb90d69b509933a443d25585cfc98fa4b3bf42fb99a9616

Aliases

arxiv: 1710.05481 · arxiv_version: 1710.05481v1 · doi: 10.48550/arxiv.1710.05481 · pith_short_12: PVTPT3HFZXXI · pith_short_16: PVTPT3HFZXXITTNZ · pith_short_8: PVTPT3HF

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/PVTPT3HFZXXITTNZBVU3KCMTHJ \
  | 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: 7d66f9ece5cdee89cdb90d69b509933a443d25585cfc98fa4b3bf42fb99a9616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "061de193ae915dc6e15b36167728aa5ceebc76d2f8065d72cbb8d6291e470268",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-10-16T03:01:52Z",
    "title_canon_sha256": "b4bcf394087b2c06aeaba0cb0aae8603e24ba4cce38603345fe5f4a4d419c55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05481",
    "kind": "arxiv",
    "version": 1
  }
}