Pith Number

pith:E44JSGYE

pith:2016:E44JSGYERY47OQHBPZGG4KJ4EY

not attested not anchored not stored refs pending

$G$-type Spaces of Ultradistributions over $\mathbb{R}^d_+$ and the Weyl Pseudo-differential Operators with Radial Symbols

Bojan Prangoski, Smiljana Jaksi\'c, Stevan Pilipovi\'c

arxiv:1602.04017 v1 · 2016-02-12 · 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{E44JSGYERY47OQHBPZGG4KJ4EY}

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	2026-05-18T01:20:54.850309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2738991b048e39f740e17e4c6e293c261e551f21f3e32a3d94a385633f144ca0

Aliases

arxiv: 1602.04017 · arxiv_version: 1602.04017v1 · doi: 10.48550/arxiv.1602.04017 · pith_short_12: E44JSGYERY47 · pith_short_16: E44JSGYERY47OQHB · pith_short_8: E44JSGYE

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/E44JSGYERY47OQHBPZGG4KJ4EY \
  | 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: 2738991b048e39f740e17e4c6e293c261e551f21f3e32a3d94a385633f144ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945869eea4f504675465c0ba738de6a67747f96792edd51cc8230b133d839694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-12T11:23:14Z",
    "title_canon_sha256": "40e8f069b752a6b6e25454b4094176a81cfc40791ae595b411cb30ac449f6b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04017",
    "kind": "arxiv",
    "version": 1
  }
}