Pith Number

pith:3RVVWLNP

pith:2011:3RVVWLNPAWPJN2MZXCTUYADSTL

not attested not anchored not stored refs pending

On noncommutative bases of the free module $W_n(\mathbb K)$

Ievgen Makedonskyi

arxiv:1105.4748 v1 · 2011-05-24 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RVVWLNPAWPJN2MZXCTUYADSTL}

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	2026-05-18T04:21:21.857884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6b5b2daf059e96e999b8a74c00729aebd77afcca5659d5acb38eb8d6808010

Aliases

arxiv: 1105.4748 · arxiv_version: 1105.4748v1 · doi: 10.48550/arxiv.1105.4748 · pith_short_12: 3RVVWLNPAWPJ · pith_short_16: 3RVVWLNPAWPJN2MZ · pith_short_8: 3RVVWLNP

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/3RVVWLNPAWPJN2MZXCTUYADSTL \
  | 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: dc6b5b2daf059e96e999b8a74c00729aebd77afcca5659d5acb38eb8d6808010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a217e49bff7c8985064c05508160b8f1692fc033f17e1c786e6742a064e0c35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-05-24T12:31:52Z",
    "title_canon_sha256": "19f4dddf470f562e0f19b337479445b5107438825aff5f7d5068fa4f632dcb23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4748",
    "kind": "arxiv",
    "version": 1
  }
}