Pith Number

pith:SVBOW5ZR

pith:2014:SVBOW5ZRSGBF5UYPMDFTUV2ZMJ

not attested not anchored not stored refs pending

A Further Remark on Sobolev Spaces. The Case $0<p<1$

Aron Wennman

arxiv:1405.2782 v2 · 2014-05-12 · 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{SVBOW5ZRSGBF5UYPMDFTUV2ZMJ}

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	2026-05-18T00:31:52.497037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9542eb773191825ed30f60cb3a5759624162cb93f21d1bb61268ce540d314948

Aliases

arxiv: 1405.2782 · arxiv_version: 1405.2782v2 · doi: 10.48550/arxiv.1405.2782 · pith_short_12: SVBOW5ZRSGBF · pith_short_16: SVBOW5ZRSGBF5UYP · pith_short_8: SVBOW5ZR

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/SVBOW5ZRSGBF5UYPMDFTUV2ZMJ \
  | 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: 9542eb773191825ed30f60cb3a5759624162cb93f21d1bb61268ce540d314948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f20fb6f38551e988043076b080d5955de0244debac0830ba5f1b5d005a4c66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-12T14:37:11Z",
    "title_canon_sha256": "c5f59dc4c06f9c4768cbdf3c66b1514a22059cce2e1528e40e369a5d6a780357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2782",
    "kind": "arxiv",
    "version": 2
  }
}