Pith Number

pith:AJOJEBC3

pith:2025:AJOJEBC3W3HE4TZEZOYYITJ7VZ

not attested not anchored not stored refs pending

Curved Kakeya sets and Nikodym problems on manifolds

Chuanwei Gao, Diankun Liu, Yakun Xi

arxiv:2503.11574 v1 · 2025-03-14 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJOJEBC3W3HE4TZEZOYYITJ7VZ}

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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

Bourgain's condition, sticky Kakeya, and new examples

Receipt and verification

First computed	2026-07-05T10:31:35.005127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

025c92045bb6ce4e4f24cbb1844d3fae59b822f63b711c2cd636f68916945265

Aliases

arxiv: 2503.11574 · arxiv_version: 2503.11574v1 · doi: 10.48550/arxiv.2503.11574 · pith_short_12: AJOJEBC3W3HE · pith_short_16: AJOJEBC3W3HE4TZE · pith_short_8: AJOJEBC3

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/AJOJEBC3W3HE4TZEZOYYITJ7VZ \
  | 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: 025c92045bb6ce4e4f24cbb1844d3fae59b822f63b711c2cd636f68916945265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b65c20144327a4406dce680660934e2f432c27995bf0e5d0c410a8306557612",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-03-14T16:40:31Z",
    "title_canon_sha256": "0860f0618f5e953ca0798a34910ae9537fe8136d3ab55a0c65a84080cb5153aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.11574",
    "kind": "arxiv",
    "version": 1
  }
}