Pith Number

pith:DCK7K4SC

pith:2025:DCK7K4SCCIG2WW7GKTCCS6MUMQ

not attested not anchored not stored refs pending

Ramsey Theory on the Integer Grid: The "L" Problem

Carl Yerger, Isaac Mammel, William Smith

arxiv:2502.05162 v1 · 2025-02-07 · 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{DCK7K4SCCIG2WW7GKTCCS6MUMQ}

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	2026-07-05T10:11:10.250080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1895f57242120dab5be654c429799464371e5f8301bd6fb55fc315f936414d1a

Aliases

arxiv: 2502.05162 · arxiv_version: 2502.05162v1 · doi: 10.48550/arxiv.2502.05162 · pith_short_12: DCK7K4SCCIG2 · pith_short_16: DCK7K4SCCIG2WW7G · pith_short_8: DCK7K4SC

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/DCK7K4SCCIG2WW7GKTCCS6MUMQ \
  | 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: 1895f57242120dab5be654c429799464371e5f8301bd6fb55fc315f936414d1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f9b9c122004f563225516ad38ceab6c3241a2ae91b40c5128f16d189b0e7bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-07T18:43:34Z",
    "title_canon_sha256": "f5de64baa5a4177ddba6572c634116c3304fffd054e3866d92405ea88f6d3f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05162",
    "kind": "arxiv",
    "version": 1
  }
}