Pith Number

pith:22RTORQ7

pith:2017:22RTORQ7PSI2PMNWCJEWY7SLDM

not attested not anchored not stored refs pending

Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

Harald Upmeier, Miroslav Engli\v{s}

arxiv:1708.03388 v1 · 2017-08-10 · math.CV · math-ph · math.DG · math.MP · 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{22RTORQ7PSI2PMNWCJEWY7SLDM}

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	2026-05-18T00:38:13.245423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a337461f7c91a7b1b612496c7e4b1b2a41ccfe3151e145120c415591c3569f

Aliases

arxiv: 1708.03388 · arxiv_version: 1708.03388v1 · doi: 10.48550/arxiv.1708.03388 · pith_short_12: 22RTORQ7PSI2 · pith_short_16: 22RTORQ7PSI2PMNW · pith_short_8: 22RTORQ7

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/22RTORQ7PSI2PMNWCJEWY7SLDM \
  | 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: d6a337461f7c91a7b1b612496c7e4b1b2a41ccfe3151e145120c415591c3569f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5940c8e769e88148dfe0a73b64325fe2817d8084feeda2a888558baac76686e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-08-10T21:15:05Z",
    "title_canon_sha256": "f0d3b00695dde6381b08ae45d8cae7cd2620a20338b723951aaeb230d3c4e44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03388",
    "kind": "arxiv",
    "version": 1
  }
}