Pith Number

pith:JDUTW52Y

pith:2026:JDUTW52YDVIGNJGZHX33JR7IB2

not attested not anchored not stored refs pending

On the Berry-Keating Operator

Fabio Bagarello, Sergiusz Ku\.zel

arxiv:2606.24405 v1 · 2026-06-23 · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JDUTW52YDVIGNJGZHX33JR7IB2}

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	2026-06-24T01:15:29.672956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e93b77581d5066a4d93df7b4c7e80eb6468c56dd8d7e56b8e346ec6e9ec673

Aliases

arxiv: 2606.24405 · arxiv_version: 2606.24405v1 · doi: 10.48550/arxiv.2606.24405 · pith_short_12: JDUTW52YDVIG · pith_short_16: JDUTW52YDVIGNJGZ · pith_short_8: JDUTW52Y

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/JDUTW52YDVIGNJGZHX33JR7IB2 \
  | 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: 48e93b77581d5066a4d93df7b4c7e80eb6468c56dd8d7e56b8e346ec6e9ec673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd4eff29e3d22c3e1ddc6b46b458ec76056a2d4474d915f91dd48d6fbadbab0",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-23T10:43:48Z",
    "title_canon_sha256": "04b4fbda6004c84a7f144f10e2d7f291238a9628861296f9c41c3f90d83438ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24405",
    "kind": "arxiv",
    "version": 1
  }
}