Pith Number

pith:JZAQKCZN

pith:2025:JZAQKCZN7JKSA5U5UXRAQYPTCZ

not attested not anchored not stored refs pending

On Polynomial Progressions Inside Sets of Large Dimension

Ben Krause

arxiv:2508.04680 v2 · 2025-08-06 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZAQKCZN7JKSA5U5UXRAQYPTCZ}

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

2 papers in Pith

On Multi-linear Maximal Operators Along Homogeneous Curves

A curved three-point pattern problem for fractal sets on the real line

Receipt and verification

First computed	2026-07-05T11:50:39.955462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e41050b2dfa5520769da5e20861f3167323833025d1fe905d97dc50c5c252b2

Aliases

arxiv: 2508.04680 · arxiv_version: 2508.04680v2 · doi: 10.48550/arxiv.2508.04680 · pith_short_12: JZAQKCZN7JKS · pith_short_16: JZAQKCZN7JKSA5U5 · pith_short_8: JZAQKCZN

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/JZAQKCZN7JKSA5U5UXRAQYPTCZ \
  | 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: 4e41050b2dfa5520769da5e20861f3167323833025d1fe905d97dc50c5c252b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56e7388782c506fa0e792c1303ad6f6ba230ffbb4d3ebe66efc2e7b6d622f1b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-08-06T17:45:31Z",
    "title_canon_sha256": "f0e26bfa12a4a700ce4c7bb0bf5e24e367b76678099b667f472aa36106fc2005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04680",
    "kind": "arxiv",
    "version": 2
  }
}