Pith Number

pith:TV3SPQBP

pith:2008:TV3SPQBPWVMGJ3MVSPN6FTPHFM

not attested not anchored not stored refs pending

Introduction into Calculus over Division Ring

Aleks Kleyn

arxiv:0812.4763 v7 · 2008-12-30 · 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{TV3SPQBPWVMGJ3MVSPN6FTPHFM}

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	2026-05-18T03:32:32.184415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7727c02fb55864ed9593dbe2cde72b31ab078328e8629978402a7a97edef9e

Aliases

arxiv: 0812.4763 · arxiv_version: 0812.4763v7 · doi: 10.48550/arxiv.0812.4763 · pith_short_12: TV3SPQBPWVMG · pith_short_16: TV3SPQBPWVMGJ3MV · pith_short_8: TV3SPQBP

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/TV3SPQBPWVMGJ3MVSPN6FTPHFM \
  | 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: 9d7727c02fb55864ed9593dbe2cde72b31ab078328e8629978402a7a97edef9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb5a20ef03af20eccc5d5c925e18b151cb6663c973338f71d5ac199c9f5a45a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2008-12-30T05:55:44Z",
    "title_canon_sha256": "bfac9d7edce5b5efb485d5966e4b447a56d0b9c962afa86ff7194071dec1370b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4763",
    "kind": "arxiv",
    "version": 7
  }
}