Pith Number

pith:WFTN7DOZ

pith:2016:WFTN7DOZTHE543UBF3QGLHY65O

not attested not anchored not stored refs pending

Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces

Luigi Rodino, Marco Cappiello, Stevan Pilipovic, Todor Gramchev

arxiv:1609.06214 v1 · 2016-09-20 · 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{WFTN7DOZTHE543UBF3QGLHY65O}

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	2026-05-18T01:04:16.404053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b166df8dd999c9de6e812ee0659f1eebb637bc9e2a4b18be9d3097155ebfdeae

Aliases

arxiv: 1609.06214 · arxiv_version: 1609.06214v1 · doi: 10.48550/arxiv.1609.06214 · pith_short_12: WFTN7DOZTHE5 · pith_short_16: WFTN7DOZTHE543UB · pith_short_8: WFTN7DOZ

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/WFTN7DOZTHE543UBF3QGLHY65O \
  | 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: b166df8dd999c9de6e812ee0659f1eebb637bc9e2a4b18be9d3097155ebfdeae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e53bb5adb85266b8518e83fb1e7e0c2472a64e0b439ff349ae3a76440c89623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-20T15:13:16Z",
    "title_canon_sha256": "d18f967992c00985f332c2ac64c99744bb0f35d90b88c02270715a5199620e45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06214",
    "kind": "arxiv",
    "version": 1
  }
}