Pith Number

pith:LKGRHG7N

pith:2009:LKGRHG7ND66HIMXTJLU5XLX4QX

not attested not anchored not stored refs pending

Semicrossed Products and Reflexivity

Evgenios T.A. Kakariadis

arxiv:0907.5314 v1 · 2009-07-30 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKGRHG7ND66HIMXTJLU5XLX4QX}

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	2026-05-18T02:54:47.625741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a8d139bed1fbc7432f34ae9dbaefc85ece7bea97db13f975c96dc96cc2736d5

Aliases

arxiv: 0907.5314 · arxiv_version: 0907.5314v1 · doi: 10.48550/arxiv.0907.5314 · pith_short_12: LKGRHG7ND66H · pith_short_16: LKGRHG7ND66HIMXT · pith_short_8: LKGRHG7N

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/LKGRHG7ND66HIMXTJLU5XLX4QX \
  | 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: 5a8d139bed1fbc7432f34ae9dbaefc85ece7bea97db13f975c96dc96cc2736d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2b61745d47ab50f7ca3df57cce64b0f8140cb70157717d0154a308a74e5985b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-30T11:58:50Z",
    "title_canon_sha256": "1cac000e8d34877e6c052cc51262953b71ca07800daebb1e5e60689d78dc715e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5314",
    "kind": "arxiv",
    "version": 1
  }
}