Pith Number

pith:EHNHIABA

pith:2017:EHNHIABAUYXS7AYCKJC5HR6NGH

not attested not anchored not stored refs pending

Sharp estimates for oscillatory integral operators via polynomial partitioning

Jonathan Hickman, Larry Guth, Marina Iliopoulou

arxiv:1710.10349 v2 · 2017-10-27 · 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{EHNHIABAUYXS7AYCKJC5HR6NGH}

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.

Cited by

1 paper in Pith

Improved bounds for the Kakeya maximal conjecture in higher dimensions

Receipt and verification

First computed	2026-07-05T00:07:04.981305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21da740020a62f2f83025245d3c7cd31eee53eab551d7ce991422832181b99fc

Aliases

arxiv: 1710.10349 · arxiv_version: 1710.10349v2 · doi: 10.48550/arxiv.1710.10349 · pith_short_12: EHNHIABAUYXS · pith_short_16: EHNHIABAUYXS7AYC · pith_short_8: EHNHIABA

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/EHNHIABAUYXS7AYCKJC5HR6NGH \
  | 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: 21da740020a62f2f83025245d3c7cd31eee53eab551d7ce991422832181b99fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba217570fc636c0af56b6fb0c086bbb3514fb753c974fae49707807d2f5cf37d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-27T22:08:28Z",
    "title_canon_sha256": "25e70bc4239d7623e401b131eb37aa8522d25fa13a174edfc4d4454b184a0708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10349",
    "kind": "arxiv",
    "version": 2
  }
}