Pith Number

pith:NDQLD25O

pith:2017:NDQLD25OUOUWKSMTXE6D4UWYEM

not attested not anchored not stored refs pending

Sharp Hardy and Rellich type inequalities on Cartan--Hadamard manifolds and their improvements

Van Hoang Nguyen

arxiv:1708.09306 v2 · 2017-08-30 · 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{NDQLD25OUOUWKSMTXE6D4UWYEM}

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	2026-05-18T00:35:03.536432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e0b1ebaea3a9654993b93c3e52d82321e7550f9ced4a341e05c173a1a4d55e

Aliases

arxiv: 1708.09306 · arxiv_version: 1708.09306v2 · doi: 10.48550/arxiv.1708.09306 · pith_short_12: NDQLD25OUOUW · pith_short_16: NDQLD25OUOUWKSMT · pith_short_8: NDQLD25O

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/NDQLD25OUOUWKSMTXE6D4UWYEM \
  | 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: 68e0b1ebaea3a9654993b93c3e52d82321e7550f9ced4a341e05c173a1a4d55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff8f6f6e48ba3d16c902d73451bdd9387142f8925ab3d9e2b8f600b892c4e06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-30T14:45:54Z",
    "title_canon_sha256": "972ca9d5737a3de07542fe9dec8627a9611350c6b5a4e074bd7fc3f4dbceef04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09306",
    "kind": "arxiv",
    "version": 2
  }
}