Pith Number

pith:SBM7RWEU

pith:2018:SBM7RWEUQQUMPC6V3JTGSBMC6X

not attested not anchored not stored refs pending

Invariant subspaces for Bishop operators and beyond

Adri\'an Ubis, Eva A. Gallardo-Guti\'errez, Fernando Chamizo, Miguel Monsalve-L\'opez

arxiv:1812.08059 v1 · 2018-12-19 · 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{SBM7RWEUQQUMPC6V3JTGSBMC6X}

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	2026-05-17T23:57:54.998498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9059f8d8948428c78bd5da66690582f5fe0517e6b8769288aeb4eb8201730ddf

Aliases

arxiv: 1812.08059 · arxiv_version: 1812.08059v1 · doi: 10.48550/arxiv.1812.08059 · pith_short_12: SBM7RWEUQQUM · pith_short_16: SBM7RWEUQQUMPC6V · pith_short_8: SBM7RWEU

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/SBM7RWEUQQUMPC6V3JTGSBMC6X \
  | 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: 9059f8d8948428c78bd5da66690582f5fe0517e6b8769288aeb4eb8201730ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f86897d4c1c59e547f68e8fd2c46669154075c1fe1618d51f243937b8e18a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-19T16:21:51Z",
    "title_canon_sha256": "dfda72023b291ee0f3ba789b60f03ea862e0cb2471aa64a0ece318262645e7f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08059",
    "kind": "arxiv",
    "version": 1
  }
}