Pith Number

pith:ZG3YFTOT

pith:2017:ZG3YFTOTPCQXQCIVVN4MTKIAUM

not attested not anchored not stored refs pending

Fractional order Orlicz-Sobolev spaces

Ariel M. Salort, Juli\'an Fern\'andez Bonder

arxiv:1707.03267 v1 · 2017-07-11 · math.AP · 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{ZG3YFTOTPCQXQCIVVN4MTKIAUM}

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	2026-05-18T00:40:29.461533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b782cdd378a1780915ab78c9a900a33ee5ca39c292b0ae81dc2feb437ba5b7

Aliases

arxiv: 1707.03267 · arxiv_version: 1707.03267v1 · doi: 10.48550/arxiv.1707.03267 · pith_short_12: ZG3YFTOTPCQX · pith_short_16: ZG3YFTOTPCQXQCIV · pith_short_8: ZG3YFTOT

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/ZG3YFTOTPCQXQCIVVN4MTKIAUM \
  | 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: c9b782cdd378a1780915ab78c9a900a33ee5ca39c292b0ae81dc2feb437ba5b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442f75d313a43afaf5a2a16630b059746e15b0995ca4bb2adec37e80a7f0f8a2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-11T13:46:59Z",
    "title_canon_sha256": "4e6c046cc9f04841a4dff399caa5c29a5ca74685733a328d668d6a8ed6c459f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03267",
    "kind": "arxiv",
    "version": 1
  }
}