Pith Number

pith:GODDWD7T

pith:2022:GODDWD7T7AFDZ4XSNMQML25VQK

not attested not anchored not stored refs pending

A Furstenberg-type problem for circles, and a Kaufman-type restricted projection theorem in $\mathbb{R}^3$

Joshua Zahl, Malabika Pramanik, Tongou Yang

arxiv:2207.02259 v3 · 2022-07-05 · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GODDWD7T7AFDZ4XSNMQML25VQK}

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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

2 papers in Pith

A Bilinear Kakeya Inequality in the Heisenberg Group

Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation

Receipt and verification

First computed	2026-07-05T09:26:20.270500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33863b0ff3f80a3cf2f26b20c5ebb5828df91e31719814fe8b43e997e0b092b5

Aliases

arxiv: 2207.02259 · arxiv_version: 2207.02259v3 · doi: 10.48550/arxiv.2207.02259 · pith_short_12: GODDWD7T7AFD · pith_short_16: GODDWD7T7AFDZ4XS · pith_short_8: GODDWD7T

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/GODDWD7T7AFDZ4XSNMQML25VQK \
  | 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: 33863b0ff3f80a3cf2f26b20c5ebb5828df91e31719814fe8b43e997e0b092b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d2828fc75404ec58a68c3cf84be0d333d19de420908a9195e4cd4e0d46b41dd",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-07-05T18:42:41Z",
    "title_canon_sha256": "b19118f9688dd159159c8d5bdde53a140c28519a3cb3c9436f7e567c14b12f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.02259",
    "kind": "arxiv",
    "version": 3
  }
}