Pith Number

pith:I4LSTZOY

pith:2019:I4LSTZOYS3TFZVP4FXRWWB6KO2

not attested not anchored not stored refs pending

Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings

Evgueni Doubtsov, Frank Kutzschebauch

arxiv:1901.10714 v2 · 2019-01-30 · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4LSTZOYS3TFZVP4FXRWWB6KO2}

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	2026-05-17T23:54:21.631834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471729e5d896e65cd5fc2de36b07ca76a07771dfbdce9f5a76a73b7070723f64

Aliases

arxiv: 1901.10714 · arxiv_version: 1901.10714v2 · doi: 10.48550/arxiv.1901.10714 · pith_short_12: I4LSTZOYS3TF · pith_short_16: I4LSTZOYS3TFZVP4 · pith_short_8: I4LSTZOY

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/I4LSTZOYS3TFZVP4FXRWWB6KO2 \
  | 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: 471729e5d896e65cd5fc2de36b07ca76a07771dfbdce9f5a76a73b7070723f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38735af2e274c21aa7abc70d0709d86475a8c2cebc7ad0a19aa7b74dd7a538a4",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-01-30T09:05:04Z",
    "title_canon_sha256": "ad8f0fad2b6fae0ce2ef9ed11b7dd9f4bf62f333188ee9714b21acaddf5646c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10714",
    "kind": "arxiv",
    "version": 2
  }
}