Pith Number

pith:BL3QAFN3

pith:2016:BL3QAFN3UOHE755QFXEOCC66RL

not attested not anchored not stored refs pending

A trilinear approach to square function and local smoothing estimates for the wave operator

Jungjin Lee

arxiv:1607.08426 v5 · 2016-07-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BL3QAFN3UOHE755QFXEOCC66RL}

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	2026-05-18T00:14:57.382910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af70015bba38e4ff7b02dc8e10bde8ad999fbbbd285a6400010fd918848c195

Aliases

arxiv: 1607.08426 · arxiv_version: 1607.08426v5 · doi: 10.48550/arxiv.1607.08426 · pith_short_12: BL3QAFN3UOHE · pith_short_16: BL3QAFN3UOHE755Q · pith_short_8: BL3QAFN3

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/BL3QAFN3UOHE755QFXEOCC66RL \
  | 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: 0af70015bba38e4ff7b02dc8e10bde8ad999fbbbd285a6400010fd918848c195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9685ac07a173afffb881cb9b233d0cfefa8503d877e7c95a8bfae0c37c066e31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-28T12:32:21Z",
    "title_canon_sha256": "e1dd32ca63f9fde088584ba8a4270bbebc40ed41ddacafd4a13841be79668fca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08426",
    "kind": "arxiv",
    "version": 5
  }
}