Pith Number

pith:IQRQXMIB

pith:2024:IQRQXMIB3M24DEKGATO2TESBIQ

not attested not anchored not stored refs pending

Corners with polynomial side length

Borys Kuca, James Leng, Noah Kravitz

arxiv:2407.08637 v2 · 2024-07-11 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQRQXMIB3M24DEKGATO2TESBIQ}

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

3 papers in Pith

Polynomial Corners Over finite Fields

On hyperbolic corners and unit-area triangles in planar sets of large measure

A multidimensional Szemer\'{e}di theorem in integers

Receipt and verification

First computed	2026-07-05T09:01:36.076004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44230bb101db35c1914604dda9924144273157c9815cd05b9cc53095d6c4b837

Aliases

arxiv: 2407.08637 · arxiv_version: 2407.08637v2 · doi: 10.48550/arxiv.2407.08637 · pith_short_12: IQRQXMIB3M24 · pith_short_16: IQRQXMIB3M24DEKG · pith_short_8: IQRQXMIB

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/IQRQXMIB3M24DEKGATO2TESBIQ \
  | 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: 44230bb101db35c1914604dda9924144273157c9815cd05b9cc53095d6c4b837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac7b1c4d6041e864b172dafa3aeb874b97a1e9d8ca2e950d4d69a92213db484c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-11T16:18:28Z",
    "title_canon_sha256": "cf88c54d4e80c14b2f124ac2721fd2983ae483c461ac0475990b1114bb405057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08637",
    "kind": "arxiv",
    "version": 2
  }
}