Pith Number

pith:S4SMYALJ

pith:2012:S4SMYALJCUYGVILNGFNKIIOSIC

not attested not anchored not stored refs pending

Multicolor Ramsey Numbers for Complete Bipartite Versus Complete Graphs

Dhruv Mubayi, John Lenz

arxiv:1201.2123 v2 · 2012-01-10 · 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{S4SMYALJCUYGVILNGFNKIIOSIC}

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	2026-05-18T02:42:06.367891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9724cc016915306aa16d315aa421d240b8ae039cfe40467c5f8c149312a89fae

Aliases

arxiv: 1201.2123 · arxiv_version: 1201.2123v2 · doi: 10.48550/arxiv.1201.2123 · pith_short_12: S4SMYALJCUYG · pith_short_16: S4SMYALJCUYGVILN · pith_short_8: S4SMYALJ

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/S4SMYALJCUYGVILNGFNKIIOSIC \
  | 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: 9724cc016915306aa16d315aa421d240b8ae039cfe40467c5f8c149312a89fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae34bcac7aa194a17b0a2f68d95e44e21eebe5fca4fc99cdd91642aae80f634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-10T17:41:03Z",
    "title_canon_sha256": "6bacca85ad299da1cfafafb9a40ffea58af1946078988bbbcc3b46b7973bc12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2123",
    "kind": "arxiv",
    "version": 2
  }
}