Pith Number

pith:YIBCWP3N

pith:2017:YIBCWP3NGOZNPWJDOQIRDGNSDB

not attested not anchored not stored refs pending

Minimizers for the fractional Sobolev inequality on domains

Jingang Xiong, Rupert L. Frank, Tianling Jin

arxiv:1707.00131 v1 · 2017-07-01 · 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{YIBCWP3NGOZNPWJDOQIRDGNSDB}

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	2026-05-18T00:41:06.380142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2022b3f6d33b2d7d92374111199b2186abc8a4bae4b19e02bfa12cca636cd13

Aliases

arxiv: 1707.00131 · arxiv_version: 1707.00131v1 · doi: 10.48550/arxiv.1707.00131 · pith_short_12: YIBCWP3NGOZN · pith_short_16: YIBCWP3NGOZNPWJD · pith_short_8: YIBCWP3N

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/YIBCWP3NGOZNPWJDOQIRDGNSDB \
  | 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: c2022b3f6d33b2d7d92374111199b2186abc8a4bae4b19e02bfa12cca636cd13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02842da71ccd8017f2ca9df5e7b08db3d6aed13c31377f86fa76515435775bb2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-01T09:59:59Z",
    "title_canon_sha256": "7334334abf0324718172ac71ffcc8288275a0b6ed4fd3af8cd837d2481ea66f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00131",
    "kind": "arxiv",
    "version": 1
  }
}