Pith Number

pith:ZSBWBIC5

pith:2019:ZSBWBIC5Z2QXNPRVWKTHFM76GW

not attested not anchored not stored refs pending

Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and ideals of Banach algebras. Amitsur's theory revisited

Edward Kissin, Victor S. Shulman, Yuri Turovskii

arxiv:1903.12291 v1 · 2019-03-28 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSBWBIC5Z2QXNPRVWKTHFM76GW}

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	2026-05-17T23:49:54.406684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8360a05dcea176be35b2a672b3fe358421150650073a120976133abc7de2c6

Aliases

arxiv: 1903.12291 · arxiv_version: 1903.12291v1 · doi: 10.48550/arxiv.1903.12291 · pith_short_12: ZSBWBIC5Z2QX · pith_short_16: ZSBWBIC5Z2QXNPRV · pith_short_8: ZSBWBIC5

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/ZSBWBIC5Z2QXNPRVWKTHFM76GW \
  | 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: cc8360a05dcea176be35b2a672b3fe358421150650073a120976133abc7de2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295bc4ff5917b8ec6358a8397e7622041740fc6d497d4affe6279aa6d5a97891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-28T22:08:41Z",
    "title_canon_sha256": "62eab39d37e4d0736d9b54ea6fe0c008ac68b945b7e422be7ee1c5ca9fc0b264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12291",
    "kind": "arxiv",
    "version": 1
  }
}