Pith Number

pith:TMZRGJHI

pith:2011:TMZRGJHI7KLRTUQXVQCXJSD4HE

not attested not anchored not stored refs pending

Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence

A. E. McCoy, B. R. MacGregor, S. Wickramasekara

arxiv:1107.2442 v1 · 2011-07-13 · 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{TMZRGJHI7KLRTUQXVQCXJSD4HE}

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	2026-05-18T02:01:19.304277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b331324e8fa9719d217ac0574c87c390fa0685542a25233e529bffa685e38a7

Aliases

arxiv: 1107.2442 · arxiv_version: 1107.2442v1 · doi: 10.48550/arxiv.1107.2442 · pith_short_12: TMZRGJHI7KLR · pith_short_16: TMZRGJHI7KLRTUQX · pith_short_8: TMZRGJHI

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/TMZRGJHI7KLRTUQXVQCXJSD4HE \
  | 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: 9b331324e8fa9719d217ac0574c87c390fa0685542a25233e529bffa685e38a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd2e6d64038185f760cdeac135bdb4bcbfc7357cab90bbf9e7676d1c1e622cec",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-13T00:48:24Z",
    "title_canon_sha256": "89c57442fa3fe1a6cf36bd1e777a11ce697a0b4c78644acd97cf736244201d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2442",
    "kind": "arxiv",
    "version": 1
  }
}