Pith Number

pith:5RNIOSUW

pith:2017:5RNIOSUWDT54AY65QKY3RYB7O6

not attested not anchored not stored refs pending

Optimal constants for a non-local approximation of Sobolev norms and total variation

Clara Antonucci, Massimo Gobbino, Matteo Migliorini, Nicola Picenni

arxiv:1708.01231 v2 · 2017-08-03 · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RNIOSUWDT54AY65QKY3RYB7O6}

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.

Cited by

1 paper in Pith

Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy

Receipt and verification

First computed	2026-07-05T00:49:59.114010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5a874a961cfbc063dd82b1b8e03f7796ec3926b1e4b1875674439110d81a6f

Aliases

arxiv: 1708.01231 · arxiv_version: 1708.01231v2 · doi: 10.48550/arxiv.1708.01231 · pith_short_12: 5RNIOSUWDT54 · pith_short_16: 5RNIOSUWDT54AY65 · pith_short_8: 5RNIOSUW

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/5RNIOSUWDT54AY65QKY3RYB7O6 \
  | 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: ec5a874a961cfbc063dd82b1b8e03f7796ec3926b1e4b1875674439110d81a6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c99357a8bc35237ff681d79a26248d589cc351b0d4348551d4ad6eda13ba0c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-03T17:24:09Z",
    "title_canon_sha256": "2d2d4bd43dd710cf7631e74bc07583c885ebf7049b82e817b96e0b3610d3f356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01231",
    "kind": "arxiv",
    "version": 2
  }
}