Pith Number

pith:DXU3X5WT

pith:2026:DXU3X5WTJUUAZG5LWEOWTKRYSB

not attested not anchored not stored refs pending

The Closure of LCD-to-GI Reductions via Generalized Inner Products

Keita Ishizuka

arxiv:2605.23120 v1 · 2026-05-22 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXU3X5WTJUUAZG5LWEOWTKRYSB}

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	2026-05-25T02:01:39.274658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1de9bbf6d34d280c9babb11d69aa38905a7aee4fd057aae62afce68c769c4d52

Aliases

arxiv: 2605.23120 · arxiv_version: 2605.23120v1 · doi: 10.48550/arxiv.2605.23120 · pith_short_12: DXU3X5WTJUUA · pith_short_16: DXU3X5WTJUUAZG5L · pith_short_8: DXU3X5WT

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/DXU3X5WTJUUAZG5LWEOWTKRYSB \
  | 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: 1de9bbf6d34d280c9babb11d69aa38905a7aee4fd057aae62afce68c769c4d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b83b31be342b718eded25d8be9942171ecf4f1b05ddaf9a8d3e379f49edcd5fb",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-22T00:43:13Z",
    "title_canon_sha256": "6101d3301e31334ab67e8fb6cf34cdf316e774d5a515b5a42f7dc8f335d1a6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23120",
    "kind": "arxiv",
    "version": 1
  }
}