Pith Number

pith:GS27XAKT

pith:2007:GS27XAKTRWD5GUTM77HBIFXEEN

not attested not anchored not stored refs pending

Lectures on Linear Algebra over Division Ring

Aleks Kleyn

arxiv:math/0701238 v6 · 2007-01-09 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GS27XAKTRWD5GUTM77HBIFXEEN}

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	2026-05-18T02:40:11.244231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b5fb81538d87d3526cffce1416e4236ef1610e9fca29eb9221c63d272078ee

Aliases

arxiv: math/0701238 · arxiv_version: math/0701238v6 · doi: 10.48550/arxiv.math/0701238 · pith_short_12: GS27XAKTRWD5 · pith_short_16: GS27XAKTRWD5GUTM · pith_short_8: GS27XAKT

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/GS27XAKTRWD5GUTM77HBIFXEEN \
  | 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: 34b5fb81538d87d3526cffce1416e4236ef1610e9fca29eb9221c63d272078ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ed26267f5c517e828c611b005b41d5e7ff824acb21bdd7b582f7fcff8d8238",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2007-01-09T02:43:20Z",
    "title_canon_sha256": "745f2b7785bacdb74cbe8becb06fe1b4fefc6ee1bfab9efbed0c038836c30e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701238",
    "kind": "arxiv",
    "version": 6
  }
}