Pith Number

pith:XKLHLD5H

pith:2005:XKLHLD5HBN634RERPBEAGU3QUI

not attested not anchored not stored refs pending

Bessel convolutions on matrix cones

Margit R\"osler

arxiv:math/0512474 v1 · 2005-12-20 · math.CA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKLHLD5HBN634RERPBEAGU3QUI}

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	2026-05-18T02:51:57.386079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba96758fa70b7dbe44917848035370a2194e130386278d651b5939fed0b20480

Aliases

arxiv: math/0512474 · arxiv_version: math/0512474v1 · doi: 10.48550/arxiv.math/0512474 · pith_short_12: XKLHLD5HBN63 · pith_short_16: XKLHLD5HBN634RER · pith_short_8: XKLHLD5H

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/XKLHLD5HBN634RERPBEAGU3QUI \
  | 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: ba96758fa70b7dbe44917848035370a2194e130386278d651b5939fed0b20480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd200b6d8a5de08a7441ef17e01b12eedc63885d7bfacd1033dec8bada35d22c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2005-12-20T17:05:14Z",
    "title_canon_sha256": "bbc9e29b6cb1db36876c033265d15718f207945f26814edb0b2e29a83efc7c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512474",
    "kind": "arxiv",
    "version": 1
  }
}