Pith Number

pith:EPYWYGHZ

pith:2010:EPYWYGHZABCHMFJYD5YJTYN5HX

2 verified not anchored not stored refs pending

Bounds on some edge Folkman numbers

Nikolay Rangelov Kolev

arxiv:1001.1905 v2 · 2010-01-12 · 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{EPYWYGHZABCHMFJYD5YJTYN5HX}

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	2026-05-18T04:21:10.945738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f16c18f900447615381f7099e1bd3dfa4d022929cbd3b536d3f679c3181637

Aliases

arxiv: 1001.1905 · arxiv_version: 1001.1905v2 · doi: 10.48550/arxiv.1001.1905 · pith_short_12: EPYWYGHZABCH · pith_short_16: EPYWYGHZABCHMFJY · pith_short_8: EPYWYGHZ

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/EPYWYGHZABCHMFJYD5YJTYN5HX \
  | 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: 23f16c18f900447615381f7099e1bd3dfa4d022929cbd3b536d3f679c3181637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f0df9af27b619b40b86f402aec5907d75c9e1fe36b4d9a1d9acd6bd74a34c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-12T15:34:12Z",
    "title_canon_sha256": "af0e19d02baf10d026149d62a55b05d3ff376fa16716216494842d87fcc0b94c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1905",
    "kind": "arxiv",
    "version": 2
  }
}