Pith Number

pith:DET4NS44

pith:2019:DET4NS443WRIOIU6LWDLW2UNNL

not attested not anchored not stored refs pending

Groups, Special Functions and Rigged Hilbert Spaces

E. Celeghini, M. A. del Olmo, M. Gadella

arxiv:1907.01281 v1 · 2019-07-02 · 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{DET4NS443WRIOIU6LWDLW2UNNL}

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	2026-05-17T23:41:40.804819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1927c6cb9cdda287229e5d86bb6a8d6acd0574c8c46b9134a8f0c5d2308ebea8

Aliases

arxiv: 1907.01281 · arxiv_version: 1907.01281v1 · doi: 10.48550/arxiv.1907.01281 · pith_short_12: DET4NS443WRI · pith_short_16: DET4NS443WRIOIU6 · pith_short_8: DET4NS44

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/DET4NS443WRIOIU6LWDLW2UNNL \
  | 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: 1927c6cb9cdda287229e5d86bb6a8d6acd0574c8c46b9134a8f0c5d2308ebea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf61e95ac53885d845330b2f7f03ce540ab2307a5d8f1cacac6ca8909aecb27",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-02T10:25:06Z",
    "title_canon_sha256": "da6754d8d3625ed4cd8736b8f47cc365d041b9d19525102a578fb95f9c9b64b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01281",
    "kind": "arxiv",
    "version": 1
  }
}