Pith Number

pith:7C2PZZ65

pith:2023:7C2PZZ65TD3DAWSUBNH5W2APQL

not attested not anchored not stored refs pending

Problems on infinite sumset configurations in the integers and beyond

Bryna Kra, Donald Robertson, Florian K. Richter, Joel Moreira

arxiv:2311.06197 v2 · 2023-11-10 · 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{7C2PZZ65TD3DAWSUBNH5W2APQL}

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

Homogeneous Patterns in Ramsey Theory

Receipt and verification

First computed	2026-07-05T11:02:59.957856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b4fce7dd98f6305a540b4fdb680f82d7dfc64e52f14c0e0b706451c3595a86

Aliases

arxiv: 2311.06197 · arxiv_version: 2311.06197v2 · doi: 10.48550/arxiv.2311.06197 · pith_short_12: 7C2PZZ65TD3D · pith_short_16: 7C2PZZ65TD3DAWSU · pith_short_8: 7C2PZZ65

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/7C2PZZ65TD3DAWSUBNH5W2APQL \
  | 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: f8b4fce7dd98f6305a540b4fdb680f82d7dfc64e52f14c0e0b706451c3595a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ce70bf220e23c738c728f869b065ed67420881670d24f3ab3d43912bb10c0d6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-10T17:27:25Z",
    "title_canon_sha256": "84ccd0a63bca0c4eaa88d2c202e5dac699290bed405bd827455f9c06bbdf1fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.06197",
    "kind": "arxiv",
    "version": 2
  }
}