Pith Number

pith:QCDNLELT

pith:2012:QCDNLELT4VHE4POJKJQQNIBX5U

not attested not anchored not stored refs pending

Sink-Stable Sets of Digraphs

Andr\'as Frank, D\'ora Erd\H{o}s, Kriszti\'an Kun

arxiv:1205.6071 v1 · 2012-05-28 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCDNLELT4VHE4POJKJQQNIBX5U}

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	2026-05-18T03:54:48.397681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8086d59173e54e4e3dc9526106a037ed1d82d86f77f5ba330ffd51d63dd3cb69

Aliases

arxiv: 1205.6071 · arxiv_version: 1205.6071v1 · doi: 10.48550/arxiv.1205.6071 · pith_short_12: QCDNLELT4VHE · pith_short_16: QCDNLELT4VHE4POJ · pith_short_8: QCDNLELT

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/QCDNLELT4VHE4POJKJQQNIBX5U \
  | 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: 8086d59173e54e4e3dc9526106a037ed1d82d86f77f5ba330ffd51d63dd3cb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f89491271ba01336462200fbfeef270dcf79dea726bddaa8c5fbf6503ab20229",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-28T10:22:52Z",
    "title_canon_sha256": "224f183c812f466d65171c46f36484163789ef716551741788eda26a9e16c6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6071",
    "kind": "arxiv",
    "version": 1
  }
}