Pith Number

pith:XWTWNYSH

pith:2001:XWTWNYSHRVN3ZN3RENTKJKMMJ7

not attested not anchored not stored refs pending

Rigged Hilbert Space Treatment of Continuous Spectrum

A. Bohm, M. Gadella, R. de la Madrid

arxiv:quant-ph/0109154 v2 · 2001-09-28 · quant-ph · hep-th · 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{XWTWNYSHRVN3ZN3RENTKJKMMJ7}

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	2026-05-18T01:38:02.470957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda766e2478d5bbcb7712366a4a98c4fd91007c5e62bb8cbeb3777a7af1c0d4b

Aliases

arxiv: quant-ph/0109154 · arxiv_version: quant-ph/0109154v2 · doi: 10.48550/arxiv.quant-ph/0109154 · pith_short_12: XWTWNYSHRVN3 · pith_short_16: XWTWNYSHRVN3ZN3R · pith_short_8: XWTWNYSH

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/XWTWNYSHRVN3ZN3RENTKJKMMJ7 \
  | 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: bda766e2478d5bbcb7712366a4a98c4fd91007c5e62bb8cbeb3777a7af1c0d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6c7ecd50f9442d8b43d578d9601206ad43f6d677103ee5348b19f9e613ad74",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-28T09:33:29Z",
    "title_canon_sha256": "430d9c46885202be972d0a279d073d46fbc321635de9cd34a5216483da677fce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109154",
    "kind": "arxiv",
    "version": 2
  }
}