Pith Number

pith:OCF4GTX7

pith:2019:OCF4GTX7FUQMNDL6GGEALXJQQY

not attested not anchored not stored refs pending

Model subspaces techniques to study Fourier expansions in L^2 spaces associated to singular measures

Jorge Antezana, Maria Guadalupe Garcia

arxiv:1907.08876 v1 · 2019-07-20 · math.CA · 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{OCF4GTX7FUQMNDL6GGEALXJQQY}

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	2026-05-17T23:40:02.880186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

708bc34eff2d20c68d7e318805dd3086106263b962c5c2aeab68f63f0c995ef7

Aliases

arxiv: 1907.08876 · arxiv_version: 1907.08876v1 · doi: 10.48550/arxiv.1907.08876 · pith_short_12: OCF4GTX7FUQM · pith_short_16: OCF4GTX7FUQMNDL6 · pith_short_8: OCF4GTX7

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/OCF4GTX7FUQMNDL6GGEALXJQQY \
  | 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: 708bc34eff2d20c68d7e318805dd3086106263b962c5c2aeab68f63f0c995ef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b170c55199bc95f599426c3b04742d7f31aab9be40964fcab53dd8c8d119382",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-20T22:58:43Z",
    "title_canon_sha256": "2c9966befb95f540656cdd2fb93490e6bb774bd7de11a789a8c2190bc61f9c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08876",
    "kind": "arxiv",
    "version": 1
  }
}