Pith Number

pith:MHEKO7XM

pith:2007:MHEKO7XMAT7QKT72ZDBQEOFSQX

not attested not anchored not stored refs pending

Function spaces of variable smoothness and integrability

Lars Diening, Peter H\"ast\"o, Svetlana Roudenko

arxiv:0711.2354 v1 · 2007-11-15 · 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{MHEKO7XMAT7QKT72ZDBQEOFSQX}

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	2026-07-04T15:05:38.741630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c8a77eec04ff054ffac8c30238b285d96b21c8d5743e1a4488958a7990d628

Aliases

arxiv: 0711.2354 · arxiv_version: 0711.2354v1 · doi: 10.48550/arxiv.0711.2354 · pith_short_12: MHEKO7XMAT7Q · pith_short_16: MHEKO7XMAT7QKT72 · pith_short_8: MHEKO7XM

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/MHEKO7XMAT7QKT72ZDBQEOFSQX \
  | 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: 61c8a77eec04ff054ffac8c30238b285d96b21c8d5743e1a4488958a7990d628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182410d0c70983df0eaf0db6a16ae915d0821c4cd6117fe880f0d77e383fe242",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-11-15T07:59:57Z",
    "title_canon_sha256": "49ebd63f557316d408b3e78cb145298e82b864ce456202acf1413a63fc43c5db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2354",
    "kind": "arxiv",
    "version": 1
  }
}