Pith Number

pith:MSYOID3K

pith:2018:MSYOID3KTH5ZYL6SJ36I7NATGH

not attested not anchored not stored refs pending

Three-colour bipartite Ramsey number for graphs with small bandwidth

Guilherme Oliveira Mota

arxiv:1804.02451 v1 · 2018-04-06 · 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{MSYOID3KTH5ZYL6SJ36I7NATGH}

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	2026-05-18T00:18:59.448323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64b0e40f6a99fb9c2fd24efc8fb41331eef768b12354ae148f779e14242dadec

Aliases

arxiv: 1804.02451 · arxiv_version: 1804.02451v1 · doi: 10.48550/arxiv.1804.02451 · pith_short_12: MSYOID3KTH5Z · pith_short_16: MSYOID3KTH5ZYL6S · pith_short_8: MSYOID3K

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/MSYOID3KTH5ZYL6SJ36I7NATGH \
  | 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: 64b0e40f6a99fb9c2fd24efc8fb41331eef768b12354ae148f779e14242dadec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9278a753d8a59795a13a59d220879f6ed6f2aefdc4a137aa4ad12bcdac421745",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-06T20:45:59Z",
    "title_canon_sha256": "a951afd1269e261947397ceddb0d6537f2e7c06a8f6fd223f6f77d747d3e009d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02451",
    "kind": "arxiv",
    "version": 1
  }
}