Pith Number

pith:X5TXEISS

pith:2018:X5TXEISS7ZI2VWKQSWO4PXQUEC

not attested not anchored not stored refs pending

Commutative Bezout domains of stable range 1.5

Victor A. Bovdi, Volodymyr P. Shchedryk

arxiv:1806.04747 v1 · 2018-06-12 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5TXEISS7ZI2VWKQSWO4PXQUEC}

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	2026-05-18T00:13:20.981764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf67722252fe51aad950959dc7de1420859093b3f70ec67eaf5a33c732eaccab

Aliases

arxiv: 1806.04747 · arxiv_version: 1806.04747v1 · doi: 10.48550/arxiv.1806.04747 · pith_short_12: X5TXEISS7ZI2 · pith_short_16: X5TXEISS7ZI2VWKQ · pith_short_8: X5TXEISS

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/X5TXEISS7ZI2VWKQSWO4PXQUEC \
  | 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: bf67722252fe51aad950959dc7de1420859093b3f70ec67eaf5a33c732eaccab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d7f08112eee5d54eefdc699d5edcde9345a1793275943340d722ef1a9114c3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-06-12T20:13:14Z",
    "title_canon_sha256": "b0ecf5bce895a68871b2d6a893d0e2b549815ed6fff0f2449e526b5abbed21bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04747",
    "kind": "arxiv",
    "version": 1
  }
}