Pith Number

pith:4WRJJUHV

pith:2014:4WRJJUHVS4TPLWMIJRNTECLVAA

not attested not anchored not stored refs pending

Quantum Physics and Signal Processing in Rigged Hilbert Spaces by means of Special Functions, Lie Algebras and Fourier and Fourier-like Transforms

Enrico Celeghini, Mariano A. del Olmo

arxiv:1411.3263 v1 · 2014-11-11 · math-ph · math.MP · physics.comp-ph · 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{4WRJJUHVS4TPLWMIJRNTECLVAA}

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	2026-05-18T01:41:31.182226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a294d0f59726f5d9884c5b3209750006c0b71cd0be7f19bd6f29edb070efe5

Aliases

arxiv: 1411.3263 · arxiv_version: 1411.3263v1 · doi: 10.48550/arxiv.1411.3263 · pith_short_12: 4WRJJUHVS4TP · pith_short_16: 4WRJJUHVS4TPLWMI · pith_short_8: 4WRJJUHV

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/4WRJJUHVS4TPLWMIJRNTECLVAA \
  | 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: e5a294d0f59726f5d9884c5b3209750006c0b71cd0be7f19bd6f29edb070efe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0339201cbc0e8ed9b0623d437db44fbd3214ceb3c4f2797b6933b1cda2a6b59",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-11T11:30:52Z",
    "title_canon_sha256": "f8b82339455d1bfd4996a55279c109e9da4f175936ff1e9fb6d35253d9b29db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3263",
    "kind": "arxiv",
    "version": 1
  }
}