Pith Number

pith:WPAQYJ6Y

pith:2012:WPAQYJ6YIIF3FU6RZV3CAZCXMO

not attested not anchored not stored refs pending

Characterization of point transformations in quantum mechanics

Shuji Watanabe, Yoshio Ohnuki

arxiv:1209.1185 v1 · 2012-09-06 · math-ph · math.FA · 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{WPAQYJ6YIIF3FU6RZV3CAZCXMO}

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	2026-05-18T03:46:04.960092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c10c27d8420bb2d3d1cd76206457638065d2573df80bb9929e9363f41c1bb1

Aliases

arxiv: 1209.1185 · arxiv_version: 1209.1185v1 · doi: 10.48550/arxiv.1209.1185 · pith_short_12: WPAQYJ6YIIF3 · pith_short_16: WPAQYJ6YIIF3FU6R · pith_short_8: WPAQYJ6Y

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/WPAQYJ6YIIF3FU6RZV3CAZCXMO \
  | 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: b3c10c27d8420bb2d3d1cd76206457638065d2573df80bb9929e9363f41c1bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a1ee654c39b173f17aba94146d9ee7fa14bf863dec8a662ae3abe6aa7746d8",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-06T05:47:59Z",
    "title_canon_sha256": "56b8bf53379b93125b77a570a70b1e39cc53388f541e7a3603f26946d0d08d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1185",
    "kind": "arxiv",
    "version": 1
  }
}