Pith Number

pith:KBQ2TSWH

pith:2013:KBQ2TSWHIGOJJGI37GKHTAQDXG

not attested not anchored not stored refs pending

The Metaplectic Group, the Symplectic Spinor and the Gouy Phase

B.J.Hiley, M. Fernandes

arxiv:1304.7347 v1 · 2013-04-27 · 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{KBQ2TSWHIGOJJGI37GKHTAQDXG}

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	2026-05-18T03:27:00.473928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5061a9cac7419c94991bf994798203b9b86017a86ff173162e051fa4cd7c3ca1

Aliases

arxiv: 1304.7347 · arxiv_version: 1304.7347v1 · doi: 10.48550/arxiv.1304.7347 · pith_short_12: KBQ2TSWHIGOJ · pith_short_16: KBQ2TSWHIGOJJGI3 · pith_short_8: KBQ2TSWH

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/KBQ2TSWHIGOJJGI37GKHTAQDXG \
  | 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: 5061a9cac7419c94991bf994798203b9b86017a86ff173162e051fa4cd7c3ca1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df5dc9bc2ee88d31d2431e8f29c0418e5d169468bde4a9e146051679a389ef9d",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-27T08:30:39Z",
    "title_canon_sha256": "0eabdcc82d6102a10658a3f65b6cdf1714de6be985b5056fd90dcadd129d7edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7347",
    "kind": "arxiv",
    "version": 1
  }
}