Pith Number

pith:XNW6BH5S

pith:2011:XNW6BH5SXXNEOHSQBVNHQECVA2

not attested not anchored not stored refs pending

Covering the edges of digraphs in $\mathscr{D}(3,3)$ and $\mathscr{D}(4,4)$ with directed cuts

Binlong Li, Shenggui Zhang, Yandong Bai

arxiv:1109.4671 v2 · 2011-09-21 · 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{XNW6BH5SXXNEOHSQBVNHQECVA2}

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	2026-05-18T04:03:09.007084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb6de09fb2bdda471e500d5a78105506be27c87d9c1b627c0d61b8d91ce2ff48

Aliases

arxiv: 1109.4671 · arxiv_version: 1109.4671v2 · doi: 10.48550/arxiv.1109.4671 · pith_short_12: XNW6BH5SXXNE · pith_short_16: XNW6BH5SXXNEOHSQ · pith_short_8: XNW6BH5S

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/XNW6BH5SXXNEOHSQBVNHQECVA2 \
  | 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: bb6de09fb2bdda471e500d5a78105506be27c87d9c1b627c0d61b8d91ce2ff48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c643bc0406600ff6129617cea0a47ef36672b9590fc3e924f02dbcd8f07948",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T23:25:06Z",
    "title_canon_sha256": "2cd6a244d52b4c5e88b840782d3310367e74cf93422677d63e5e2b31411d26ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4671",
    "kind": "arxiv",
    "version": 2
  }
}