Pith Number

pith:UJI5VFAT

pith:2005:UJI5VFATNMFOBQ5RNGTAIPEUW4

not attested not anchored not stored refs pending

Perelomov problem and inversion of the Segal-Bargmann transform

Yurii A. Neretin

arxiv:math/0505693 v2 · 2005-05-31 · math.FA · 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{UJI5VFATNMFOBQ5RNGTAIPEUW4}

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	2026-05-18T03:39:53.426951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a251da94136b0ae0c3b169a6043c94b7184fe3c149a3c9c97b3e1594e5bbaa41

Aliases

arxiv: math/0505693 · arxiv_version: math/0505693v2 · doi: 10.48550/arxiv.math/0505693 · pith_short_12: UJI5VFATNMFO · pith_short_16: UJI5VFATNMFOBQ5R · pith_short_8: UJI5VFAT

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/UJI5VFATNMFOBQ5RNGTAIPEUW4 \
  | 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: a251da94136b0ae0c3b169a6043c94b7184fe3c149a3c9c97b3e1594e5bbaa41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b243760a0477e5fdcbb92a5261474d3cb51a13407288225c501ce0920bc15ea7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-05-31T18:21:29Z",
    "title_canon_sha256": "64734d99b89770ea66a25cd7584eded0da6cab342d4efc3f34bb4663b17236ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505693",
    "kind": "arxiv",
    "version": 2
  }
}