Pith Number

pith:KREOVIRH

pith:2015:KREOVIRHTROIDBTBX3TIFVVMD6

not attested not anchored not stored refs pending

The vertex Folkman numbers $F_v(a_1, ..., a_s; m - 1) = m + 9$, if $\max\{a_1, ..., a_s\} = 5$

Aleksandar Bikov, Nedyalko Nenov

arxiv:1503.08444 v2 · 2015-03-29 · 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{KREOVIRHTROIDBTBX3TIFVVMD6}

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	2026-05-17T23:50:07.736373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5448eaa2279c5c818661bee682d6ac1fab76049d784eab301e2050ef95fe19c4

Aliases

arxiv: 1503.08444 · arxiv_version: 1503.08444v2 · doi: 10.48550/arxiv.1503.08444 · pith_short_12: KREOVIRHTROI · pith_short_16: KREOVIRHTROIDBTB · pith_short_8: KREOVIRH

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/KREOVIRHTROIDBTBX3TIFVVMD6 \
  | 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: 5448eaa2279c5c818661bee682d6ac1fab76049d784eab301e2050ef95fe19c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51588d6d4d3868a32f35f46241715596f28769bbb899ad705689c1b1036dc1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-29T15:27:02Z",
    "title_canon_sha256": "e83d4d3e5de756dd9b6aa49e2d510d689cbbb601bd38847cd8a49c36ad16c89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08444",
    "kind": "arxiv",
    "version": 2
  }
}