Pith Number

pith:RMD4PO3G

pith:2017:RMD4PO3G4MXXEKYKYKR2VUGMXF

not attested not anchored not stored refs pending

A generalized Schur complement for non-negative operators on linear space

J. Friedrich, L. Klotz, M. G\"unther

arxiv:1708.01545 v1 · 2017-08-04 · 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{RMD4PO3G4MXXEKYKYKR2VUGMXF}

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	2026-05-18T00:10:32.308770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b07c7bb66e32f722b0ac2a3aad0ccb9758c669528421830f3fb841fbdcdfa36

Aliases

arxiv: 1708.01545 · arxiv_version: 1708.01545v1 · doi: 10.48550/arxiv.1708.01545 · pith_short_12: RMD4PO3G4MXX · pith_short_16: RMD4PO3G4MXXEKYK · pith_short_8: RMD4PO3G

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/RMD4PO3G4MXXEKYKYKR2VUGMXF \
  | 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: 8b07c7bb66e32f722b0ac2a3aad0ccb9758c669528421830f3fb841fbdcdfa36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba838df37b3f39b7b8dd7b8832a750e12e904fc34543ee92d9874d75fc786be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-04T15:12:45Z",
    "title_canon_sha256": "6b0c796a12c9f2aa07a3a2b2fbfa2cbf474f51b0ead90613608b165fae07950c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01545",
    "kind": "arxiv",
    "version": 1
  }
}