Pith Number

pith:WWBND75Z

pith:2017:WWBND75ZAZFCFFIOB6TZWAXTB3

not attested not anchored not stored refs pending

Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations

Aparajita Dasgupta, Michael Ruzhansky

arxiv:1707.03917 v1 · 2017-07-12 · math.FA · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWBND75ZAZFCFFIOB6TZWAXTB3}

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	2026-05-18T00:40:23.134195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b582d1ffb9064a22950e0fa79b02f30ef189166967e32c275cac556e225aef83

Aliases

arxiv: 1707.03917 · arxiv_version: 1707.03917v1 · doi: 10.48550/arxiv.1707.03917 · pith_short_12: WWBND75ZAZFC · pith_short_16: WWBND75ZAZFCFFIO · pith_short_8: WWBND75Z

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/WWBND75ZAZFCFFIOB6TZWAXTB3 \
  | 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: b582d1ffb9064a22950e0fa79b02f30ef189166967e32c275cac556e225aef83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa321db8b60f05672b17ab51eb30eb41526f2b30d4a6707a4a815638f96af9d",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-12T21:24:05Z",
    "title_canon_sha256": "6e91a92987abf0adf953ba110dcd8bd6aecc3d8b2986252b48efbbce02a97552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03917",
    "kind": "arxiv",
    "version": 1
  }
}