Pith Number

pith:PUDV5PYT

pith:2019:PUDV5PYTYW6LJAQJF7ME6M7GYS

not attested not anchored not stored refs pending

Probability representation of quantum mechanics and star product quantization

O. V. Man'ko, S. N. Belolipetskiy, V. I. Man'ko, V. N. Chernega

arxiv:1903.07932 v1 · 2019-03-19 · 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{PUDV5PYTYW6LJAQJF7ME6M7GYS}

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	2026-05-17T23:50:53.453490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d075ebf13c5bcb482092fd84f33e6c49c4648b8b1355f34b7b69dec3b727b6d

Aliases

arxiv: 1903.07932 · arxiv_version: 1903.07932v1 · doi: 10.48550/arxiv.1903.07932 · pith_short_12: PUDV5PYTYW6L · pith_short_16: PUDV5PYTYW6LJAQJ · pith_short_8: PUDV5PYT

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/PUDV5PYTYW6LJAQJF7ME6M7GYS \
  | 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: 7d075ebf13c5bcb482092fd84f33e6c49c4648b8b1355f34b7b69dec3b727b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f00b3ebdec1ad9d01378bc0af1eb524386a0bfb9c50ad524830cc832bc305e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-03-19T10:55:40Z",
    "title_canon_sha256": "7f235be01483cb4624094b70564cfbdc15725d7d8750eb8dd7c79f85f5367afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07932",
    "kind": "arxiv",
    "version": 1
  }
}