Pith Number

pith:BPL5W5CK

pith:2014:BPL5W5CK6QX4CXL4DJNYDOYCXR

not attested not anchored not stored refs pending

Sets of multiplicity and closable multipliers on group algebras

Ivan G. Todorov, Lyudmila Turowska, Victor S. Shulman

arxiv:1401.2620 v1 · 2014-01-12 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPL5W5CK6QX4CXL4DJNYDOYCXR}

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	2026-05-18T03:02:32.763978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd7db744af42fc15d7c1a5b81bb02bc5b77c33e236ff541101c428878440222

Aliases

arxiv: 1401.2620 · arxiv_version: 1401.2620v1 · doi: 10.48550/arxiv.1401.2620 · pith_short_12: BPL5W5CK6QX4 · pith_short_16: BPL5W5CK6QX4CXL4 · pith_short_8: BPL5W5CK

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/BPL5W5CK6QX4CXL4DJNYDOYCXR \
  | 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: 0bd7db744af42fc15d7c1a5b81bb02bc5b77c33e236ff541101c428878440222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6500da1296baf4ac8666fb03b6f9956d2ecd822f319acf5a11ea77c03a45d7e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-12T12:56:28Z",
    "title_canon_sha256": "7075d09f34607ae8f43cf30c7366c981d3744cee41d9d0460e2ab9aaf4bbc2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2620",
    "kind": "arxiv",
    "version": 1
  }
}