Pith Number

pith:L7ZME5GA

pith:2018:L7ZME5GAI7X3ZQI4SGOJ3MGAES

not attested not anchored not stored refs pending

Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators

Athanasios G. Georgiadis, George Kyriazis, Gerard Kerkyacharian, Pencho Petrushev

arxiv:1805.01444 v1 · 2018-05-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7ZME5GAI7X3ZQI4SGOJ3MGAES}

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	2026-05-18T00:16:51.432098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff2c274c047efbcc11c919c9db0c0249550c2d62957302a184a19a863ce7885

Aliases

arxiv: 1805.01444 · arxiv_version: 1805.01444v1 · doi: 10.48550/arxiv.1805.01444 · pith_short_12: L7ZME5GAI7X3 · pith_short_16: L7ZME5GAI7X3ZQI4 · pith_short_8: L7ZME5GA

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/L7ZME5GAI7X3ZQI4SGOJ3MGAES \
  | 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: 5ff2c274c047efbcc11c919c9db0c0249550c2d62957302a184a19a863ce7885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5aa46db7fe7aef2e1dcd11005626697d36cf906bbefa42a3a433f0d876a9358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-03T17:39:07Z",
    "title_canon_sha256": "8103531e7bff526a6966369f550e077def2c99df7eeeb7e28714d1f9b1d35226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01444",
    "kind": "arxiv",
    "version": 1
  }
}