Pith Number

pith:TMZSVIO7

pith:2018:TMZSVIO7QIIC3JVEJ2UR42X572

not attested not anchored not stored refs pending

Lebesgue type decompositions for linear relations and Ando's uniqueness criterion

Henk de Snoo, Seppo Hassi, Zolt\'an Sebesty\'en

arxiv:1801.01392 v1 · 2018-01-04 · 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{TMZSVIO7QIIC3JVEJ2UR42X572}

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	2026-05-18T00:26:42.253232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b332aa1df82102da6a44ea91e6afdfeae02b1b10f2a16041a22c175233e732d

Aliases

arxiv: 1801.01392 · arxiv_version: 1801.01392v1 · doi: 10.48550/arxiv.1801.01392 · pith_short_12: TMZSVIO7QIIC · pith_short_16: TMZSVIO7QIIC3JVE · pith_short_8: TMZSVIO7

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/TMZSVIO7QIIC3JVEJ2UR42X572 \
  | 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: 9b332aa1df82102da6a44ea91e6afdfeae02b1b10f2a16041a22c175233e732d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee8c9ad45d0a092f542ac9d8f1d5f1690b0693e16052f03c6d5993277a4d899",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-04T15:13:20Z",
    "title_canon_sha256": "408e589b8ae32c3cff1a0145b66d34bd43cda485b840754984dfebfe3085fb10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01392",
    "kind": "arxiv",
    "version": 1
  }
}