Pith Number

pith:HIFFUHAX

pith:2010:HIFFUHAXIRJKFZPKEAP7XPZ3XR

not attested not anchored not stored refs pending

The heat semigroup in the compact Heckman-Opdam setting and the Segal-Bargmann transform

Heiko Remling, Margit R\"osler

arxiv:1003.2992 v1 · 2010-03-15 · 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{HIFFUHAXIRJKFZPKEAP7XPZ3XR}

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	2026-05-18T02:52:04.496866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0a5a1c174452a2e5ea201ffbbf3bbc4e260f94c6ca89ea39cd15ea9d94ce76

Aliases

arxiv: 1003.2992 · arxiv_version: 1003.2992v1 · doi: 10.48550/arxiv.1003.2992 · pith_short_12: HIFFUHAXIRJK · pith_short_16: HIFFUHAXIRJKFZPK · pith_short_8: HIFFUHAX

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/HIFFUHAXIRJKFZPKEAP7XPZ3XR \
  | 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: 3a0a5a1c174452a2e5ea201ffbbf3bbc4e260f94c6ca89ea39cd15ea9d94ce76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7734f22d8c786e7cb8d8df4de44da6d17ae62e7d5710cc62626477ca86a4b4a7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-15T18:59:01Z",
    "title_canon_sha256": "b1b60b611d9d46552abef8c96605c714a00ac5c5477ea2bf3a0ea812c7cfa065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2992",
    "kind": "arxiv",
    "version": 1
  }
}