Pith Number

pith:IQHAEVH6

pith:2016:IQHAEVH6CZVMXTWBWKSMW3YFE3

not attested not anchored not stored refs pending

New bounds on the vertex Folkman number $F_v(2, 2, 2, 3; 4)$

Aleksandar Bikov

arxiv:1611.06418 v1 · 2016-11-19 · 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{IQHAEVH6CZVMXTWBWKSMW3YFE3}

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	2026-05-17T23:50:07.609015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440e0254fe166acbcec1b2a4cb6f0526d7218c4fc07decf091e70def915a3b54

Aliases

arxiv: 1611.06418 · arxiv_version: 1611.06418v1 · doi: 10.48550/arxiv.1611.06418 · pith_short_12: IQHAEVH6CZVM · pith_short_16: IQHAEVH6CZVMXTWB · pith_short_8: IQHAEVH6

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/IQHAEVH6CZVMXTWBWKSMW3YFE3 \
  | 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: 440e0254fe166acbcec1b2a4cb6f0526d7218c4fc07decf091e70def915a3b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d5bf6b1de68aef542cf14c97c45a9808dbb028f8574f3c1c6edac4a63faca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-19T19:38:52Z",
    "title_canon_sha256": "f7504849fd9d834ac07e517c7eea839cd9473a898c58161a1b1c591b4480654c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06418",
    "kind": "arxiv",
    "version": 1
  }
}