Pith Number

pith:FULSTFMB

pith:2018:FULSTFMBTUSWK2HYJRSM3DWFYR

not attested not anchored not stored refs pending

Operator system structures and extensions of Schur multipliers

Ivan G. Todorov, Ying-Fen Lin

arxiv:1812.06483 v1 · 2018-12-16 · 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{FULSTFMBTUSWK2HYJRSM3DWFYR}

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	2026-05-17T23:58:10.125260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d172995819d256568f84c64cd8ec5c4603c89a8d5455af107b0b8747ae3e2ff

Aliases

arxiv: 1812.06483 · arxiv_version: 1812.06483v1 · doi: 10.48550/arxiv.1812.06483 · pith_short_12: FULSTFMBTUSW · pith_short_16: FULSTFMBTUSWK2HY · pith_short_8: FULSTFMB

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/FULSTFMBTUSWK2HYJRSM3DWFYR \
  | 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: 2d172995819d256568f84c64cd8ec5c4603c89a8d5455af107b0b8747ae3e2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f796de4fe864f93d84f9d59bc303c75b73898876e81c187856c088846cb8c62e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-12-16T15:22:15Z",
    "title_canon_sha256": "0d09ad491ce7688b2df93ef70362f3008d50ccae389181288be024693c38c4d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06483",
    "kind": "arxiv",
    "version": 1
  }
}