Pith Number

pith:SGRS5FWZ

pith:2008:SGRS5FWZFYVNNMPX7CZ4ZTK366

2 verified not anchored not stored refs pending

New Upper Bound for the Edge Folkman Number Fe(3,5;13)

Nikolay Kolev

arxiv:0806.1403 v1 · 2008-06-09 · 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{SGRS5FWZFYVNNMPX7CZ4ZTK366}

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

✓ Author claim 2 verified · sign in to claim

Nikolay Kolev orcid verified · Nikolay Kolev orcid verified

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	2026-05-19T04:56:40.735875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a32e96d92e2ad6b1f7f8b3cccd5bf78f11a39b4a79ca89f3c5efe59b399563

Aliases

arxiv: 0806.1403 · arxiv_version: 0806.1403v1 · doi: 10.48550/arxiv.0806.1403 · pith_short_12: SGRS5FWZFYVN · pith_short_16: SGRS5FWZFYVNNMPX · pith_short_8: SGRS5FWZ

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/SGRS5FWZFYVNNMPX7CZ4ZTK366 \
  | 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: 91a32e96d92e2ad6b1f7f8b3cccd5bf78f11a39b4a79ca89f3c5efe59b399563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb01e1ca425a61f0e7422a7ecbb544b82d42466882d75f4a971282f6cab8f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-06-09T09:07:49Z",
    "title_canon_sha256": "cdd06e6293a8b45934833e6bad5275dc3fd7d4b4facbed9a92471ecfcda7e291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1403",
    "kind": "arxiv",
    "version": 1
  }
}