Pith Number

pith:ZTLOSXG3

pith:2018:ZTLOSXG3H6RPKUY2MIFDLLL5OH

not attested not anchored not stored refs pending

Unitary Representation of Symplectic Group for Phase Point Operators on Discrete Phase Space

A.Hayashi, D.Watanabe, M.Horibe, T.Hashimoto

arxiv:1802.09891 v4 · 2018-02-27 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTLOSXG3H6RPKUY2MIFDLLL5OH}

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	2026-05-18T00:21:34.082790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd6e95cdb3fa2f5531a620a35ad7d71fa6b038948909c93bde5f4f39f5f7209

Aliases

arxiv: 1802.09891 · arxiv_version: 1802.09891v4 · doi: 10.48550/arxiv.1802.09891 · pith_short_12: ZTLOSXG3H6RP · pith_short_16: ZTLOSXG3H6RPKUY2 · pith_short_8: ZTLOSXG3

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/ZTLOSXG3H6RPKUY2MIFDLLL5OH \
  | 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: ccd6e95cdb3fa2f5531a620a35ad7d71fa6b038948909c93bde5f4f39f5f7209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5896dcea602254155535c35f15f62571a95a965d7070f5a6f2e18c550608168f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-02-27T14:08:51Z",
    "title_canon_sha256": "51d19e9782619465d039a18c5383b6790a2636dd28b9c32c3acbbd6840c4c508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09891",
    "kind": "arxiv",
    "version": 4
  }
}