Pith Number

pith:5FYKFUFD

pith:2002:5FYKFUFDVAFRJBMLCDHFKKOV4T

not attested not anchored not stored refs pending

Action of overalgebra in Plancherel decomposition and shift operators in imaginary direction

Yurii A. Neretin

arxiv:math/0202018 v1 · 2002-02-02 · math.RT · math-ph · math.CA · 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{5FYKFUFDVAFRJBMLCDHFKKOV4T}

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	2026-05-18T03:39:53.489122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e970a2d0a3a80b14858b10ce5529d5e4c32854053a6ac78cf70b73afc06f5faf

Aliases

arxiv: math/0202018 · arxiv_version: math/0202018v1 · doi: 10.48550/arxiv.math/0202018 · pith_short_12: 5FYKFUFDVAFR · pith_short_16: 5FYKFUFDVAFRJBML · pith_short_8: 5FYKFUFD

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/5FYKFUFDVAFRJBMLCDHFKKOV4T \
  | 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: e970a2d0a3a80b14858b10ce5529d5e4c32854053a6ac78cf70b73afc06f5faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4d7c11f2b2ae64ed3901c050b467ad60c9447505705adbe0599848e8e7de38",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2002-02-02T20:29:20Z",
    "title_canon_sha256": "e8d5dc749a67632f69146d5650abbe0ba753987d37e5992de1a0cf7e5990a954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0202018",
    "kind": "arxiv",
    "version": 1
  }
}