Pith Number

pith:FBM6ZPTN

pith:2011:FBM6ZPTNKHGNWVO4CNNLLYSO27

not attested not anchored not stored refs pending

Weighted norm inequalities for fractional oscillatory integrals and applications

Fayou Zhao, Shanzhen Lu, Shaoguang Shi, Zunwei Fu

arxiv:1111.3418 v1 · 2011-11-15 · math.FA

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	2026-05-18T04:08:14.132253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2859ecbe6d51ccdb55dc135ab5e24ed7fab98e8d02dc9ba25bcb33038244f15d

Aliases

arxiv: 1111.3418 · arxiv_version: 1111.3418v1 · doi: 10.48550/arxiv.1111.3418 · pith_short_12: FBM6ZPTNKHGN · pith_short_16: FBM6ZPTNKHGNWVO4 · pith_short_8: FBM6ZPTN

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/FBM6ZPTNKHGNWVO4CNNLLYSO27 \
  | 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: 2859ecbe6d51ccdb55dc135ab5e24ed7fab98e8d02dc9ba25bcb33038244f15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "165b7d1ab02789755870b96b317eb51b8d5c21e134d40de3a10425d6cfa1bb4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-15T02:54:24Z",
    "title_canon_sha256": "80c0f054dd98d18c87775304f79a7d97d02abacb161058d41593f910ef56f526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3418",
    "kind": "arxiv",
    "version": 1
  }
}