Pith Number

pith:DTJJ2NDC

pith:2012:DTJJ2NDCMECOWAVS4ACPKQ5BMG

not attested not anchored not stored refs pending

$p$-Operator space structure on Feichtinger--Fig\`{a}-Talamanca--Herz Segal algebras

Nico Spronk, Serap \"Oztop

arxiv:1208.2072 v2 · 2012-08-10 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTJJ2NDCMECOWAVS4ACPKQ5BMG}

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	2026-05-18T02:49:30.069218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd29d34626104eb02b2e004f543a161af08675de11349addeb38db232a982be

Aliases

arxiv: 1208.2072 · arxiv_version: 1208.2072v2 · doi: 10.48550/arxiv.1208.2072 · pith_short_12: DTJJ2NDCMECO · pith_short_16: DTJJ2NDCMECOWAVS · pith_short_8: DTJJ2NDC

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/DTJJ2NDCMECOWAVS4ACPKQ5BMG \
  | 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: 1cd29d34626104eb02b2e004f543a161af08675de11349addeb38db232a982be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2837a267e9a96cc8f7c0dc3bf4a187fca86d0bf1b991fa6b89406a5481e7715f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-10T01:40:43Z",
    "title_canon_sha256": "5a0b4de9f35b4e232eb2c4c01cb72281244dcdc4b2618fbd054ca9615c798797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2072",
    "kind": "arxiv",
    "version": 2
  }
}