Pith Number

pith:4ZQUQWA4

pith:2013:4ZQUQWA4JTFMGRQERJCJ5SKD6J

not attested not anchored not stored refs pending

A general approach to Read's type constructions of operators without non-trivial invariant closed subspaces

Maria Roginskaya, Sophie Grivaux

arxiv:1301.6143 v2 · 2013-01-25 · 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{4ZQUQWA4JTFMGRQERJCJ5SKD6J}

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	2026-05-18T00:44:30.065837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66148581c4ccac346048a449ec943f2611b8ee27204295b4057533299a620bf

Aliases

arxiv: 1301.6143 · arxiv_version: 1301.6143v2 · doi: 10.48550/arxiv.1301.6143 · pith_short_12: 4ZQUQWA4JTFM · pith_short_16: 4ZQUQWA4JTFMGRQE · pith_short_8: 4ZQUQWA4

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/4ZQUQWA4JTFMGRQERJCJ5SKD6J \
  | 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: e66148581c4ccac346048a449ec943f2611b8ee27204295b4057533299a620bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c9520b097c7a0e7c8ee7363ef54669887bce30b4586176debed7ffe0045fc28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-25T19:49:00Z",
    "title_canon_sha256": "fc78ce25419912abaf4d98d60ac8feaa828dbfd62482b02bfc039b8265fb0b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6143",
    "kind": "arxiv",
    "version": 2
  }
}