Pith Number

pith:O3BEJ7SQ

pith:2017:O3BEJ7SQHD4GD3U5XJ2LNMNB2E

not attested not anchored not stored refs pending

Maximizers for the variational problems associated with Sobolev type inequalities under constraints

Van Hoang Nguyen

arxiv:1705.08434 v2 · 2017-05-23 · 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{O3BEJ7SQHD4GD3U5XJ2LNMNB2E}

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	2026-05-18T00:16:45.319428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c244fe5038f861ee9dba74b6b1a1d1177fa4b647d9b910d340e9f1b2ee27c4

Aliases

arxiv: 1705.08434 · arxiv_version: 1705.08434v2 · doi: 10.48550/arxiv.1705.08434 · pith_short_12: O3BEJ7SQHD4G · pith_short_16: O3BEJ7SQHD4GD3U5 · pith_short_8: O3BEJ7SQ

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/O3BEJ7SQHD4GD3U5XJ2LNMNB2E \
  | 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: 76c244fe5038f861ee9dba74b6b1a1d1177fa4b647d9b910d340e9f1b2ee27c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff40efe305cead7bd9d8300029a1e7b133eaf0033d041c38ba50da69024e58fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-23T17:42:44Z",
    "title_canon_sha256": "739cdee31282fb23b458825351378c6b272ba32ce698fca46c63a2b1c5091a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08434",
    "kind": "arxiv",
    "version": 2
  }
}