Pith Number

pith:2Y6GPXEZ

pith:2009:2Y6GPXEZ26F24DUX3E7NVZGK3F

not attested not anchored not stored refs pending

Counting flags in triangle-free digraphs

Daniel Kral, Jan Hladky, Sergey Norin

arxiv:0908.2791 v4 · 2009-08-19 · 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{2Y6GPXEZ26F24DUX3E7NVZGK3F}

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	2026-05-18T00:39:18.843756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63c67dc99d78bae0e97d93edae4cad9750f559717fd94090ce613ef6fc855f0

Aliases

arxiv: 0908.2791 · arxiv_version: 0908.2791v4 · doi: 10.48550/arxiv.0908.2791 · pith_short_12: 2Y6GPXEZ26F2 · pith_short_16: 2Y6GPXEZ26F24DUX · pith_short_8: 2Y6GPXEZ

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/2Y6GPXEZ26F24DUX3E7NVZGK3F \
  | 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: d63c67dc99d78bae0e97d93edae4cad9750f559717fd94090ce613ef6fc855f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bac6d6661b9b502295a0a3b2d17230ad74750cf92a59934dbcdac264b9ae8f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-19T17:27:35Z",
    "title_canon_sha256": "f851b401f7b3a4db66b243256a304bdb8ae69e0d5835518e0642cabea5382aa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2791",
    "kind": "arxiv",
    "version": 4
  }
}