Pith Number

pith:22EH2YCG

pith:2023:22EH2YCGOGU4RBD7RA2G6OIGAC

not attested not anchored not stored refs pending

Monochromatic Sums and Products over $\mathbb{Q}$

Ryan Alweiss

arxiv:2307.08901 v5 · 2023-07-18 · math.CO · math.DS · math.LO · 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{22EH2YCGOGU4RBD7RA2G6OIGAC}

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

Monochromatic Sums and Quotients Near Zero

Receipt and verification

First computed	2026-07-05T07:13:43.471600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6887d604671a9c8847f88346f39060091656382911ee385ac5f65bb0da8e888

Aliases

arxiv: 2307.08901 · arxiv_version: 2307.08901v5 · doi: 10.48550/arxiv.2307.08901 · pith_short_12: 22EH2YCGOGU4 · pith_short_16: 22EH2YCGOGU4RBD7 · pith_short_8: 22EH2YCG

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/22EH2YCGOGU4RBD7RA2G6OIGAC \
  | 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: d6887d604671a9c8847f88346f39060091656382911ee385ac5f65bb0da8e888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89450662cc2fe8ffdf07aa5860afc092fa6db90955427eaf40010c0f8192fa19",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-18T00:11:54Z",
    "title_canon_sha256": "2f7a0aac7218f5d44ec4bd877b196b4cdaacd9ca5f454a214ede2ec853de4bc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.08901",
    "kind": "arxiv",
    "version": 5
  }
}