Pith Number

pith:QILWGH63

pith:2017:QILWGH63OK675DAFO4GYMEY24T

not attested not anchored not stored refs pending

Wold decompositions for operators close to isometries

Laura Gavruta

arxiv:1704.04200 v1 · 2017-04-13 · 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{QILWGH63OK675DAFO4GYMEY24T}

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	2026-05-18T00:46:22.851632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8217631fdb72bdfe8c05770d86131ae4cf3926fd4cc2b95e2712ab99d0d5e6c1

Aliases

arxiv: 1704.04200 · arxiv_version: 1704.04200v1 · doi: 10.48550/arxiv.1704.04200 · pith_short_12: QILWGH63OK67 · pith_short_16: QILWGH63OK675DAF · pith_short_8: QILWGH63

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/QILWGH63OK675DAFO4GYMEY24T \
  | 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: 8217631fdb72bdfe8c05770d86131ae4cf3926fd4cc2b95e2712ab99d0d5e6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ebdb9641a0078527584c85523c315425f0d5da42f460cc4a5f4f8ebb0b6af9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-13T16:24:04Z",
    "title_canon_sha256": "08ce6a07bd2308bbc0f586d07ebe0c15c1cbd37e1d5a4c2c25b4e9a64ca1ae7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04200",
    "kind": "arxiv",
    "version": 1
  }
}