Pith Number

pith:KNRKWKA5

pith:2026:KNRKWKA54CPXFP7NA6GBFSY47L

not attested not anchored not stored refs pending

Spectral Decomposition and Linearization of Kubo-Ando Means

Allan Merino, Jose Franco, Raluca Dumitru

arxiv:2606.13530 v1 · 2026-06-11 · 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{KNRKWKA54CPXFP7NA6GBFSY47L}

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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.

Cited by

1 paper in Pith

On The Linearization of Alternative Means

Receipt and verification

First computed	2026-06-12T01:10:08.594625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5362ab281de09f72bfed078c12cb1cfad80d5ecae5f71c5151b88d13c76a1c9c

Aliases

arxiv: 2606.13530 · arxiv_version: 2606.13530v1 · doi: 10.48550/arxiv.2606.13530 · pith_short_12: KNRKWKA54CPX · pith_short_16: KNRKWKA54CPXFP7N · pith_short_8: KNRKWKA5

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/KNRKWKA54CPXFP7NA6GBFSY47L \
  | 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: 5362ab281de09f72bfed078c12cb1cfad80d5ecae5f71c5151b88d13c76a1c9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0683e7f334736d96ae47b99a5fb0be6b961eff3f5e028ce4a9fcf83ed0ac7a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-11T16:19:12Z",
    "title_canon_sha256": "57f3abd5d8cb77356254df902c8dd5dfbed3261ac5b2ab68cdc32ead39be8e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13530",
    "kind": "arxiv",
    "version": 1
  }
}