Pith Number

pith:QYK7CEN7

pith:2014:QYK7CEN7MRGMDLX2S2GJCUCZGQ

not attested not anchored not stored refs pending

The convenient setting for ultradifferentiable mappings of Beurling- and Roumiue-type defined by a weight matrix

Gerhard Schindl

arxiv:1412.6165 v3 · 2014-12-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYK7CEN7MRGMDLX2S2GJCUCZGQ}

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	2026-05-18T01:19:44.725970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8615f111bf644cc1aefa968c9150593407431cb7bbeebdbf8d242b36b9b09e69

Aliases

arxiv: 1412.6165 · arxiv_version: 1412.6165v3 · doi: 10.48550/arxiv.1412.6165 · pith_short_12: QYK7CEN7MRGM · pith_short_16: QYK7CEN7MRGMDLX2 · pith_short_8: QYK7CEN7

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/QYK7CEN7MRGMDLX2S2GJCUCZGQ \
  | 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: 8615f111bf644cc1aefa968c9150593407431cb7bbeebdbf8d242b36b9b09e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a540cbbffdf572f4e0888b4525cdd79cd83a6765ef3fd27089c6c5758d5405a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-12-18T22:15:51Z",
    "title_canon_sha256": "b3d69f0e140505ed2a8ea57ee7795c0d7ec6cedeadf15edcfd610ca41c0b2c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6165",
    "kind": "arxiv",
    "version": 3
  }
}