Pith Number

pith:GLDQW3EF

pith:2022:GLDQW3EFRVAYJIK3LIJBZRDDW2

not attested not anchored not stored refs pending

Monochromatic products and sums in $2$-colorings of $\mathbb{N}$

Matt Bowen

arxiv:2205.12921 v1 · 2022-05-25 · 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{GLDQW3EFRVAYJIK3LIJBZRDDW2}

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

Undecidability in the Ramsey theory of polynomial equations and Hilbert's tenth problem

Receipt and verification

First computed	2026-07-05T04:26:30.794938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c70b6c858d4184a15b5a121cc463b6963e39191de68a24c1ff945c1597df46

Aliases

arxiv: 2205.12921 · arxiv_version: 2205.12921v1 · doi: 10.48550/arxiv.2205.12921 · pith_short_12: GLDQW3EFRVAY · pith_short_16: GLDQW3EFRVAYJIK3 · pith_short_8: GLDQW3EF

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/GLDQW3EFRVAYJIK3LIJBZRDDW2 \
  | 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: 32c70b6c858d4184a15b5a121cc463b6963e39191de68a24c1ff945c1597df46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6efbfa5df04caeff131969deb5a90a4a6216447d2e536485824bbddcf33cb57b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-25T17:16:31Z",
    "title_canon_sha256": "e8fcd9a5fbe0c17be390893f864f9d560a23a46da909313e6c08c67da6d824a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12921",
    "kind": "arxiv",
    "version": 1
  }
}