Pith Number

pith:Z7HSFTB7

pith:2015:Z7HSFTB7WD3K535CMHIHNBSBMK

not attested not anchored not stored refs pending

Some Lower Bound Results for Set-Multilinear Arithmetic Computations

S. Raja, V. Arvind

arxiv:1511.02308 v1 · 2015-11-07 · 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{Z7HSFTB7WD3K535CMHIHNBSBMK}

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	2026-05-18T01:27:30.718828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfcf22cc3fb0f6aeefa261d076864162ac0ebcf55929a8332844d6bf76a065c7

Aliases

arxiv: 1511.02308 · arxiv_version: 1511.02308v1 · doi: 10.48550/arxiv.1511.02308 · pith_short_12: Z7HSFTB7WD3K · pith_short_16: Z7HSFTB7WD3K535C · pith_short_8: Z7HSFTB7

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/Z7HSFTB7WD3K535CMHIHNBSBMK \
  | 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: cfcf22cc3fb0f6aeefa261d076864162ac0ebcf55929a8332844d6bf76a065c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa3d0e032ffd0e666a97bc62b7129b7143423a6df5f7bd612d7b72ed9400ec1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-11-07T05:56:57Z",
    "title_canon_sha256": "5598d27fd543c54c43db199e3fb7ea67bf71435b624e37c892c9c5c8a5adc2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02308",
    "kind": "arxiv",
    "version": 1
  }
}