Pith Number

pith:X4DU3MH5

pith:2017:X4DU3MH5W42OGTV45IOKAW7V4N

not attested not anchored not stored refs pending

Bipartite spanning sub(di)graphs induced by 2-partitions

Anders Yeo, Fr\'ed\'eric Havet, J{\o}rgen Bang-Jensen, St\'ephane Bessy

arxiv:1707.09400 v1 · 2017-07-28 · cs.DM · 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{X4DU3MH5W42OGTV45IOKAW7V4N}

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	2026-05-18T00:39:11.435190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf074db0fdb734e34ebcea1ca05bf5e35e2ff36d78ffa232189dfebf10c7cd25

Aliases

arxiv: 1707.09400 · arxiv_version: 1707.09400v1 · doi: 10.48550/arxiv.1707.09400 · pith_short_12: X4DU3MH5W42O · pith_short_16: X4DU3MH5W42OGTV4 · pith_short_8: X4DU3MH5

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/X4DU3MH5W42OGTV45IOKAW7V4N \
  | 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: bf074db0fdb734e34ebcea1ca05bf5e35e2ff36d78ffa232189dfebf10c7cd25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c55840329992b3e037faaa40b266a2ce4fb5f9b1decc7952a315677b1b8dc671",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-28T20:12:02Z",
    "title_canon_sha256": "2b65c3e0bf7e4b2dc70cb957b4e1d065f5f69ee10f320733b264d8bd8d526a8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09400",
    "kind": "arxiv",
    "version": 1
  }
}