Pith Number

pith:GNQQJSFI

pith:2018:GNQQJSFI6Q35QW652AOU4XJCX5

not attested not anchored not stored refs pending

Second order Sobolev type inequalities in the hyperbolic spaces

Van Hoang Nguyen

arxiv:1805.02055 v1 · 2018-05-05 · math.FA · 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{GNQQJSFI6Q35QW652AOU4XJCX5}

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	2026-05-18T00:16:41.080044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

336104c8a8f437d85bddd01d4e5d22bf4d811984d938259ce6acc8c4d3ba4f29

Aliases

arxiv: 1805.02055 · arxiv_version: 1805.02055v1 · doi: 10.48550/arxiv.1805.02055 · pith_short_12: GNQQJSFI6Q35 · pith_short_16: GNQQJSFI6Q35QW65 · pith_short_8: GNQQJSFI

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/GNQQJSFI6Q35QW652AOU4XJCX5 \
  | 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: 336104c8a8f437d85bddd01d4e5d22bf4d811984d938259ce6acc8c4d3ba4f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0cdbff66096fe542a8daa47c7d2d70940d28af8f0e980357522961cc1b70a30",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-05T13:18:00Z",
    "title_canon_sha256": "bf90c28b909ac9c2418f25836a4ee984c24daf652e5c0e416e1aae8ddcaabe0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02055",
    "kind": "arxiv",
    "version": 1
  }
}