Pith Number

pith:LYTLBD7P

pith:2017:LYTLBD7PQCXIXDZPWE7SIJ2FUA

not attested not anchored not stored refs pending

Limit of Fractional Power Sobolev Inequalities

Fang Wang, Sun-Yung Alice Chang

arxiv:1704.06048 v2 · 2017-04-20 · 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{LYTLBD7PQCXIXDZPWE7SIJ2FUA}

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	2026-05-18T00:28:35.571014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e26b08fef80ae8b8f2fb13f242745a03bc5b91d8e613232165abc2dfb413228

Aliases

arxiv: 1704.06048 · arxiv_version: 1704.06048v2 · doi: 10.48550/arxiv.1704.06048 · pith_short_12: LYTLBD7PQCXI · pith_short_16: LYTLBD7PQCXIXDZP · pith_short_8: LYTLBD7P

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/LYTLBD7PQCXIXDZPWE7SIJ2FUA \
  | 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: 5e26b08fef80ae8b8f2fb13f242745a03bc5b91d8e613232165abc2dfb413228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f627a93538cf7768082fb01ad0f588b2c368bf3bd5c1e03deb9cd86ba6c1ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-20T08:40:00Z",
    "title_canon_sha256": "98d3a3c61b198652816e8e960ea8100e63205a28ff570a96ee1e577c12f50b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06048",
    "kind": "arxiv",
    "version": 2
  }
}