Pith Number

pith:5SA7JXD3

pith:2024:5SA7JXD3ZTFPSSBTB6COV6YCYD

not attested not anchored not stored refs pending

Casimir Radial Parts via Matsuki Decomposition

Mikhail Isachenkov, Philip Schl\"osser

arxiv:2412.19681 v2 · 2024-12-27 · math.RT · hep-th · 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{5SA7JXD3ZTFPSSBTB6COV6YCYD}

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	2026-07-05T11:31:26.198850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec81f4dc7bcccaf948330f84eafb02c0d6a27e2084c072b82f224ff2cc806058

Aliases

arxiv: 2412.19681 · arxiv_version: 2412.19681v2 · doi: 10.48550/arxiv.2412.19681 · pith_short_12: 5SA7JXD3ZTFP · pith_short_16: 5SA7JXD3ZTFPSSBT · pith_short_8: 5SA7JXD3

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/5SA7JXD3ZTFPSSBTB6COV6YCYD \
  | 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: ec81f4dc7bcccaf948330f84eafb02c0d6a27e2084c072b82f224ff2cc806058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a3b76bd2118e806dbcd418f2284b84c5a3a03867e019787ad141ad6606fe97",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-12-27T15:18:54Z",
    "title_canon_sha256": "43df3ed1bfbc18a527173d4c8f7c4f1dd3f98c33be172c942e4e9715d93ebc24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19681",
    "kind": "arxiv",
    "version": 2
  }
}