Pith Number

pith:5QA65VN4

pith:2003:5QA65VN4VLIRVIRQAY6GRT54XD

not attested not anchored not stored refs pending

Representation of Semigroups in Rigged Hilbert Spaces: Subsemigroups of the Weyl-Heisenberg Group

A. Bohm, S. Wickramasekara

arxiv:math-ph/0302019 v1 · 2003-02-09 · math-ph · math.FA · 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{5QA65VN4VLIRVIRQAY6GRT54XD}

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	2026-05-18T01:38:33.926894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec01eed5bcaad11aa230063c68cfbcb8cd0801ade0f44748b1228d9afa376f09

Aliases

arxiv: math-ph/0302019 · arxiv_version: math-ph/0302019v1 · doi: 10.48550/arxiv.math-ph/0302019 · pith_short_12: 5QA65VN4VLIR · pith_short_16: 5QA65VN4VLIRVIRQ · pith_short_8: 5QA65VN4

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/5QA65VN4VLIRVIRQAY6GRT54XD \
  | 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: ec01eed5bcaad11aa230063c68cfbcb8cd0801ade0f44748b1228d9afa376f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c75fb571956d55351907718eb208aa02cc457cac1f00c081b4999ce08010ab11",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-02-09T18:07:50Z",
    "title_canon_sha256": "0f6a2cde8ee3a325640da427e25dba16585ffe57f858fc5c2ac88455b8fbfda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0302019",
    "kind": "arxiv",
    "version": 1
  }
}