Pith Number

pith:WEFR5UOE

pith:2026:WEFR5UOEANMVM6BQT435IKF4IV

not attested not anchored not stored refs pending

The normalized orbit of a bounded normal operator can be a frame

G\"otz E. Pfander, Ilya A. Krishtal

arxiv:2606.20848 v1 · 2026-06-18 · 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{WEFR5UOEANMVM6BQT435IKF4IV}

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	2026-06-23T00:12:00.751152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b10b1ed1c403595678309f37d428bc4543249bc684b594daa7c6972e242a5d46

Aliases

arxiv: 2606.20848 · arxiv_version: 2606.20848v1 · doi: 10.48550/arxiv.2606.20848 · pith_short_12: WEFR5UOEANMV · pith_short_16: WEFR5UOEANMVM6BQ · pith_short_8: WEFR5UOE

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/WEFR5UOEANMVM6BQT435IKF4IV \
  | 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: b10b1ed1c403595678309f37d428bc4543249bc684b594daa7c6972e242a5d46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f210636b01416737a4db12c4873ce97e37b38893654df07b611bcf513215708",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-18T18:32:51Z",
    "title_canon_sha256": "ec48eb854f9139245e38cc1c83b32921c105b69b4c425d3116d606320218bd00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20848",
    "kind": "arxiv",
    "version": 1
  }
}