Pith Number

pith:LFUG4YC6

pith:2016:LFUG4YC6OQLBKXRWAMQL7A3EST

not attested not anchored not stored refs pending

Applications of Livingston-type inequalities to the generalized Zalcman functional

Dragan Vukoti\'c, Iason Efraimidis

arxiv:1611.00682 v3 · 2016-11-02 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFUG4YC6OQLBKXRWAMQL7A3EST}

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	2026-05-18T00:02:02.314226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59686e605e7416155e360320bf836494fba4806352993886b8a538713b954d36

Aliases

arxiv: 1611.00682 · arxiv_version: 1611.00682v3 · doi: 10.48550/arxiv.1611.00682 · pith_short_12: LFUG4YC6OQLB · pith_short_16: LFUG4YC6OQLBKXRW · pith_short_8: LFUG4YC6

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/LFUG4YC6OQLBKXRWAMQL7A3EST \
  | 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: 59686e605e7416155e360320bf836494fba4806352993886b8a538713b954d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234120a16675235fa56d35dd1ec3f949fd8c515ec1e892b620ef131df93d69a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-02T16:46:31Z",
    "title_canon_sha256": "b879852df5e909fa74e46b66b93d5af7efbca67f65c002579f4d46d0356f1235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00682",
    "kind": "arxiv",
    "version": 3
  }
}