Pith Number

pith:MHFJWQYB

pith:2015:MHFJWQYBSVDITZMJMJIPR2KFT4

not attested not anchored not stored refs pending

A density property for fractional weighted Sobolev spaces

Enrico Valdinoci, Serena Dipierro

arxiv:1501.04918 v1 · 2015-01-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHFJWQYBSVDITZMJMJIPR2KFT4}

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	2026-05-18T02:29:01.979509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ca9b4301954689e5896250f8e9459f065de89211799384c081c52bb63609fb

Aliases

arxiv: 1501.04918 · arxiv_version: 1501.04918v1 · doi: 10.48550/arxiv.1501.04918 · pith_short_12: MHFJWQYBSVDI · pith_short_16: MHFJWQYBSVDITZMJ · pith_short_8: MHFJWQYB

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/MHFJWQYBSVDITZMJMJIPR2KFT4 \
  | 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: 61ca9b4301954689e5896250f8e9459f065de89211799384c081c52bb63609fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff033608946eb704e4b288111b18a9afecc3ccd07460059ce41fa20e2f715ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-20T18:59:16Z",
    "title_canon_sha256": "a8a76a2e7b30d6815f961246de3567669fc5e8d72891ad3c17faf3457a4ca115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04918",
    "kind": "arxiv",
    "version": 1
  }
}