Pith Number

pith:XX7EJSHW

pith:2026:XX7EJSHWYFZRONTCDBOLSKYECS

not attested not anchored not stored refs pending

Variants of the Quantum Phase Operator for the Harmonic Oscillator

Bogdan D. Djordjevic, Nikolay A. Ivanov

arxiv:2606.24913 v1 · 2026-06-19 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XX7EJSHWYFZRONTCDBOLSKYECS}

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	2026-06-25T00:17:45.865891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfe44c8f6c173173662185cb92b0414bb2b4433acdf90d34cef48727d9985ce

Aliases

arxiv: 2606.24913 · arxiv_version: 2606.24913v1 · doi: 10.48550/arxiv.2606.24913 · pith_short_12: XX7EJSHWYFZR · pith_short_16: XX7EJSHWYFZRONTC · pith_short_8: XX7EJSHW

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/XX7EJSHWYFZRONTCDBOLSKYECS \
  | 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: bdfe44c8f6c173173662185cb92b0414bb2b4433acdf90d34cef48727d9985ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9577d2846e8e3cbf57672f861e5bacf20f982e435c21bdfdc1e8fd95acfd1678",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-19T14:12:12Z",
    "title_canon_sha256": "d82e1b523ba8543e68e7cb6091ae0eff2644079532ba3bd1dd132bac3206cf15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24913",
    "kind": "arxiv",
    "version": 1
  }
}