Pith Number

pith:ECANYOWS

pith:2013:ECANYOWSWD3JNNODVCTF3DF27R

not attested not anchored not stored refs pending

Logarithmic convexity of area integral means for analytic functions II

Chunjie Wang, Jie Xiao, Kehe Zhu

arxiv:1308.4881 v1 · 2013-08-22 · math.CV · math.CA

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

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	2026-05-17T23:53:15.181508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2080dc3ad2b0f696b5c3a8a65d8cbafc42eff6fce8df1ced4a17364daa0ef37b

Aliases

arxiv: 1308.4881 · arxiv_version: 1308.4881v1 · doi: 10.48550/arxiv.1308.4881 · pith_short_12: ECANYOWSWD3J · pith_short_16: ECANYOWSWD3JNNOD · pith_short_8: ECANYOWS

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/ECANYOWSWD3JNNODVCTF3DF27R \
  | 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: 2080dc3ad2b0f696b5c3a8a65d8cbafc42eff6fce8df1ced4a17364daa0ef37b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca098df0b5c4501f338ba04ae6b93383c4f4879d6ce728aaddf1b981b904131",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-08-22T14:43:58Z",
    "title_canon_sha256": "ef3481f2ab0d54aa6ee1801bbf24ec6af99b5c72c22acf4593200e87ea3d71b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4881",
    "kind": "arxiv",
    "version": 1
  }
}