Pith Number

pith:HYQDPZDH

pith:2024:HYQDPZDHGA2AOA64PCNLDQDFG6

not attested not anchored not stored refs pending

Affirmative Resolution of Bourgain's Slicing Problem using Guan's Bound

Boaz Klartag, Joseph Lehec

arxiv:2412.15044 v1 · 2024-12-19 · math.MG · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYQDPZDHGA2AOA64PCNLDQDFG6}

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

The slicing conjecture via small ball estimates

Receipt and verification

First computed	2026-07-05T09:51:57.237019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e2037e46730340703dc789ab1c06537959547d92d803009fd78b11e4a85aba7

Aliases

arxiv: 2412.15044 · arxiv_version: 2412.15044v1 · doi: 10.48550/arxiv.2412.15044 · pith_short_12: HYQDPZDHGA2A · pith_short_16: HYQDPZDHGA2AOA64 · pith_short_8: HYQDPZDH

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/HYQDPZDHGA2AOA64PCNLDQDFG6 \
  | 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: 3e2037e46730340703dc789ab1c06537959547d92d803009fd78b11e4a85aba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff695d0d8b863302e55226adc10f9a370e17a61e8e482141b38ca75e842afdba",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-12-19T16:52:00Z",
    "title_canon_sha256": "328a15747f3b4d80df742525652ba7d6a929127bc4eccf3110612a4bc7d6689b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15044",
    "kind": "arxiv",
    "version": 1
  }
}