Pith Number

pith:QGGRPYRO

pith:2020:QGGRPYROGSMQZJCR5UI2OZBDEJ

not attested not anchored not stored refs pending

Pattern Problems related to the Arithmetic Kakeya Conjecture

Charlie Cowen-Breen, Elene Karangozishvili, Narmada Varadarajan, Thomas Wang

arxiv:2011.07056 v1 · 2020-11-13 · math.NT · 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{QGGRPYROGSMQZJCR5UI2OZBDEJ}

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	2026-07-05T01:51:27.225694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818d17e22e34990ca451ed11a764232261b6dde5ce1e41efcef1a591478f1180

Aliases

arxiv: 2011.07056 · arxiv_version: 2011.07056v1 · doi: 10.48550/arxiv.2011.07056 · pith_short_12: QGGRPYROGSMQ · pith_short_16: QGGRPYROGSMQZJCR · pith_short_8: QGGRPYRO

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/QGGRPYROGSMQZJCR5UI2OZBDEJ \
  | 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: 818d17e22e34990ca451ed11a764232261b6dde5ce1e41efcef1a591478f1180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d092edc15f0cd91f9633f36e8e77b43bdffa4834b75f1a62ce94d67630d01d4",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-13T18:52:49Z",
    "title_canon_sha256": "18eb92eee0170328d2463b8dab4dadf99c3e22fd36a75f6d71b5e0e8f5b52f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.07056",
    "kind": "arxiv",
    "version": 1
  }
}