Pith Number

pith:5ATUW7PK

pith:2018:5ATUW7PKPXFZMV24VGIE374UEK

not attested not anchored not stored refs pending

On the perturbation and expression for the core inverse of linear operator in Hilbert space

Lanping Zhu, Qianglian Huang, Saijie Chen

arxiv:1807.01446 v1 · 2018-07-04 · 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{5ATUW7PKPXFZMV24VGIE374UEK}

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	2026-05-18T00:11:29.662517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8274b7dea7dcb96575ca9904dff94229aeda7d2115f09bd528ea072c5d2b463

Aliases

arxiv: 1807.01446 · arxiv_version: 1807.01446v1 · doi: 10.48550/arxiv.1807.01446 · pith_short_12: 5ATUW7PKPXFZ · pith_short_16: 5ATUW7PKPXFZMV24 · pith_short_8: 5ATUW7PK

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/5ATUW7PKPXFZMV24VGIE374UEK \
  | 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: e8274b7dea7dcb96575ca9904dff94229aeda7d2115f09bd528ea072c5d2b463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4196899cfbb29107f49d38db7c2608ff1754a17403c86916598bc0669ed48d87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-04T04:38:06Z",
    "title_canon_sha256": "b3290bcc41e42314909b2a30b44674dad2abc24f5cc5b433308a3d8069151fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01446",
    "kind": "arxiv",
    "version": 1
  }
}