Pith Number

pith:V76EQLTV

pith:2018:V76EQLTVFDD4CXSN5L72CFBNGA

not attested not anchored not stored refs pending

Splitting of operator for frame inequalities in Hilbert spaces

Dongwei Li

arxiv:1809.01315 v1 · 2018-09-05 · 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{V76EQLTVFDD4CXSN5L72CFBNGA}

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	2026-05-18T00:06:28.047470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affc482e7528c7c15e4deaffa1142d3037a3282d5632d1c010d4f2dfd32973a1

Aliases

arxiv: 1809.01315 · arxiv_version: 1809.01315v1 · doi: 10.48550/arxiv.1809.01315 · pith_short_12: V76EQLTVFDD4 · pith_short_16: V76EQLTVFDD4CXSN · pith_short_8: V76EQLTV

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/V76EQLTVFDD4CXSN5L72CFBNGA \
  | 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: affc482e7528c7c15e4deaffa1142d3037a3282d5632d1c010d4f2dfd32973a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2108e48215a5025f657574f68fc8999cf821775dd0fc83d294f5bcc792fa6e7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-05T04:03:55Z",
    "title_canon_sha256": "31b76e457532315d7fca363b817ffb3c083765e4229a7735d07a8b18fda19bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01315",
    "kind": "arxiv",
    "version": 1
  }
}