Pith Number

pith:RWHBJAYY

pith:2016:RWHBJAYYBYJZ6UCFS3EBXVI2KQ

not attested not anchored not stored refs pending

Hardy and Rellich Inequalities for submanifolds in Hadamard spaces

Feliciano Vitorio, Heudson Mirandola, Marcio Batista

arxiv:1611.04656 v1 · 2016-11-15 · math.DG · 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{RWHBJAYYBYJZ6UCFS3EBXVI2KQ}

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	2026-05-18T00:58:50.308340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8e1483180e139f504596c81bd51a54276fc732be3f24384d35070e212a09cd

Aliases

arxiv: 1611.04656 · arxiv_version: 1611.04656v1 · doi: 10.48550/arxiv.1611.04656 · pith_short_12: RWHBJAYYBYJZ · pith_short_16: RWHBJAYYBYJZ6UCF · pith_short_8: RWHBJAYY

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/RWHBJAYYBYJZ6UCFS3EBXVI2KQ \
  | 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: 8d8e1483180e139f504596c81bd51a54276fc732be3f24384d35070e212a09cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7701bca9c3ffdc4d00e6e4e55c7f30ac6c94970696c43ab971edaf94c91ee486",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-15T00:36:38Z",
    "title_canon_sha256": "6f43d25a5cf7e1a482d879aeb74f7062af32cd4cb2ceef45698c3a664d4a8a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04656",
    "kind": "arxiv",
    "version": 1
  }
}