Pith Number

pith:OYAFB5XC

pith:2017:OYAFB5XCHTQDMHXMHPHSQJFVUB

not attested not anchored not stored refs pending

Lie algebra representations and rigged Hilbert spaces: the SO(2) case

Enrico Celeghini, Manuel Gadella, Mariano A del Olmo

arxiv:1711.03805 v1 · 2017-11-10 · 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{OYAFB5XCHTQDMHXMHPHSQJFVUB}

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	2026-05-18T00:30:51.438611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

760050f6e23ce0361eec3bcf2824b5a04a63b5cd8ec5dcbb9a5740471ccf849c

Aliases

arxiv: 1711.03805 · arxiv_version: 1711.03805v1 · doi: 10.48550/arxiv.1711.03805 · pith_short_12: OYAFB5XCHTQD · pith_short_16: OYAFB5XCHTQDMHXM · pith_short_8: OYAFB5XC

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/OYAFB5XCHTQDMHXMHPHSQJFVUB \
  | 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: 760050f6e23ce0361eec3bcf2824b5a04a63b5cd8ec5dcbb9a5740471ccf849c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a09dbac4c86b72a4798209a9a2024176fdcfa3fdb81754c7c2a7c7755fe1bdf",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-10T13:18:03Z",
    "title_canon_sha256": "57748af2cbc5149235a593c07209605352b09d80b3b5d9489cd487e281ec217a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03805",
    "kind": "arxiv",
    "version": 1
  }
}