Pith Number

pith:46T4ZW53

pith:2023:46T4ZW53D4SCOMXO2HVMAC36IQ

not attested not anchored not stored refs pending

Sharp pointwise convergence on the Schr\"odinger operator along one class of curves

Changxing Miao, Zhenbin Cao

arxiv:2303.11002 v1 · 2023-03-20 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46T4ZW53D4SCOMXO2HVMAC36IQ}

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	2026-07-05T07:45:45.700332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a7ccdbbb1f242732eed1eac00b7e441f2af97e27a02d8f2857c7597a7bc748

Aliases

arxiv: 2303.11002 · arxiv_version: 2303.11002v1 · doi: 10.48550/arxiv.2303.11002 · pith_short_12: 46T4ZW53D4SC · pith_short_16: 46T4ZW53D4SCOMXO · pith_short_8: 46T4ZW53

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/46T4ZW53D4SCOMXO2HVMAC36IQ \
  | 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: e7a7ccdbbb1f242732eed1eac00b7e441f2af97e27a02d8f2857c7597a7bc748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eac7f186fb33a150777b0eecbdbc925a75c54f96d0b46407e943be683157cf41",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-03-20T10:30:57Z",
    "title_canon_sha256": "300537ed9e15551435ca444af1e8d88aad86ed05a581b7b01f1185a0fef29ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11002",
    "kind": "arxiv",
    "version": 1
  }
}