Pith Number

pith:XGGK2TAQ

pith:2016:XGGK2TAQKAG72ECVFBLW74PRVM

not attested not anchored not stored refs pending

Sub-Ramsey numbers for arithmetic progressions

Maria Axenovich, Ryan R. Martin

arxiv:1605.06570 v2 · 2016-05-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGGK2TAQKAG72ECVFBLW74PRVM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:13:46.769820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98cad4c10500dfd105528576ff1f1ab21162396be6e992e29e3dec92b5dca32

Aliases

arxiv: 1605.06570 · arxiv_version: 1605.06570v2 · doi: 10.48550/arxiv.1605.06570 · pith_short_12: XGGK2TAQKAG7 · pith_short_16: XGGK2TAQKAG72ECV · pith_short_8: XGGK2TAQ

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/XGGK2TAQKAG72ECVFBLW74PRVM \
  | 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: b98cad4c10500dfd105528576ff1f1ab21162396be6e992e29e3dec92b5dca32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dab031e3aa087f739eaf71acd13d57188fabd67f3789459b55e24b197ac3926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-21T02:05:14Z",
    "title_canon_sha256": "0a3c0c727a98806188a2044af7f4ef5defb3db3eab089f8be47bc49924d06235"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06570",
    "kind": "arxiv",
    "version": 2
  }
}