Pith Number

pith:2M5OB3SU

pith:2013:2M5OB3SUJZIBS7W2RVCFXPERNY

not attested not anchored not stored refs pending

Paley-Wiener-Schwartz nearly Parseval frames and Besov spaces on noncompact symmetric spaces

Isaac Z. Pesenson

arxiv:1308.1893 v5 · 2013-08-08 · 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{2M5OB3SUJZIBS7W2RVCFXPERNY}

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	2026-05-18T02:59:34.771106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33ae0ee544e50197eda8d445bbc916e28ef86b96f774d59b462b8bc5f50c4ba

Aliases

arxiv: 1308.1893 · arxiv_version: 1308.1893v5 · doi: 10.48550/arxiv.1308.1893 · pith_short_12: 2M5OB3SUJZIB · pith_short_16: 2M5OB3SUJZIBS7W2 · pith_short_8: 2M5OB3SU

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/2M5OB3SUJZIBS7W2RVCFXPERNY \
  | 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: d33ae0ee544e50197eda8d445bbc916e28ef86b96f774d59b462b8bc5f50c4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e35336f4708a33d985da18fff21bf1c12374829067c5459787a8d56fdb7028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-08T16:20:04Z",
    "title_canon_sha256": "9b47c230b99b664deea24e79fa71cecfaafcc24cb8fb482bb72a1f8ee8fcf1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1893",
    "kind": "arxiv",
    "version": 5
  }
}