Pith Number

pith:3QPJPAMV

pith:2017:3QPJPAMVT4PMBCBLP4IYSRIH27

not attested not anchored not stored refs pending

Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group

Dashan Fan, Jianmiao Ruan, Qingyan Wu

arxiv:1712.10328 v1 · 2017-12-14 · 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	2026-05-18T00:27:03.404062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1e9781959f1ec0882b7f11894507d7da49c36469055e6882945b33e6909347

Aliases

arxiv: 1712.10328 · arxiv_version: 1712.10328v1 · doi: 10.48550/arxiv.1712.10328 · pith_short_12: 3QPJPAMVT4PM · pith_short_16: 3QPJPAMVT4PMBCBL · pith_short_8: 3QPJPAMV

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/3QPJPAMVT4PMBCBLP4IYSRIH27 \
  | 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: dc1e9781959f1ec0882b7f11894507d7da49c36469055e6882945b33e6909347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1377db0622050a1321ef87ba3af48a0828eb53bea2eb1a52d2350ee03042d88d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-14T02:39:12Z",
    "title_canon_sha256": "35b0cdab5701d1e08346fe6a8e9ed1d8ddccd4c628ec8d853d79e6b377b4d06b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10328",
    "kind": "arxiv",
    "version": 1
  }
}