Pith Number

pith:S6L6UWGW

pith:2014:S6L6UWGWXI4GZQJHYOVPJ7JUAK

not attested not anchored not stored refs pending

Gaussian integral means of entire functions: logarithmic convexity and concavity

Chunjie Wang, Jie Xiao

arxiv:1405.6193 v1 · 2014-05-23 · 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{S6L6UWGWXI4GZQJHYOVPJ7JUAK}

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	2026-05-18T02:51:13.840861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9797ea58d6ba386cc127c3aaf4fd3402a60efa5ef5a059e94f017d94705bbafb

Aliases

arxiv: 1405.6193 · arxiv_version: 1405.6193v1 · doi: 10.48550/arxiv.1405.6193 · pith_short_12: S6L6UWGWXI4G · pith_short_16: S6L6UWGWXI4GZQJH · pith_short_8: S6L6UWGW

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/S6L6UWGWXI4GZQJHYOVPJ7JUAK \
  | 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: 9797ea58d6ba386cc127c3aaf4fd3402a60efa5ef5a059e94f017d94705bbafb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe65e24c692f65b3aae41674838a486494a4c6d1ee1098032f000699c4f81ec1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-05-23T19:55:14Z",
    "title_canon_sha256": "7caff79d14fbb9c2ba2dc4bf06dd6d9b4fbfeccb1525039aef4110d491230f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6193",
    "kind": "arxiv",
    "version": 1
  }
}