Pith Number

pith:MPWVTJD7

pith:2018:MPWVTJD7FWK2LUO7RU64J55H75

not attested not anchored not stored refs pending

Strictly singular multiplication operators on $\mathcal L(X)$

Martin Mathieu, Pedro Tradacete

arxiv:1810.09194 v2 · 2018-10-22 · 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{MPWVTJD7FWK2LUO7RU64J55H75}

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	2026-05-17T23:46:19.264337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ed59a47f2d95a5d1df8d3dc4f7a7ff47a3905eef1493c0e9472fab012b4a36

Aliases

arxiv: 1810.09194 · arxiv_version: 1810.09194v2 · doi: 10.48550/arxiv.1810.09194 · pith_short_12: MPWVTJD7FWK2 · pith_short_16: MPWVTJD7FWK2LUO7 · pith_short_8: MPWVTJD7

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/MPWVTJD7FWK2LUO7RU64J55H75 \
  | 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: 63ed59a47f2d95a5d1df8d3dc4f7a7ff47a3905eef1493c0e9472fab012b4a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81ebb064327e1a77b140a0f7219c56a6f91c6343a4f94ba904d0075ce88392c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-22T12:01:16Z",
    "title_canon_sha256": "fd0007d710580f390bb83426f432651c61180617d4460fb67611fe1ff8b753d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09194",
    "kind": "arxiv",
    "version": 2
  }
}