Pith Number

pith:PUG4PJFS

pith:2016:PUG4PJFSFCWT2UBLQ7BEWIEGUS

not attested not anchored not stored refs pending

Making Bipartite Graphs DM-irreducible

Jun Kato, Krist\'of B\'erczi, Satoru Iwata, Yutaro Yamaguchi

arxiv:1612.08828 v3 · 2016-12-28 · 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{PUG4PJFSFCWT2UBLQ7BEWIEGUS}

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	2026-05-18T00:26:08.394561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0dc7a4b228ad3d502b87c24b2086a48d66532ee50530dcab17118e8ba6cab4

Aliases

arxiv: 1612.08828 · arxiv_version: 1612.08828v3 · doi: 10.48550/arxiv.1612.08828 · pith_short_12: PUG4PJFSFCWT · pith_short_16: PUG4PJFSFCWT2UBL · pith_short_8: PUG4PJFS

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/PUG4PJFSFCWT2UBLQ7BEWIEGUS \
  | 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: 7d0dc7a4b228ad3d502b87c24b2086a48d66532ee50530dcab17118e8ba6cab4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab2f7afb0b2d5a16624c149636c3258d6619fbc770e8d5f279bf104375ea524",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-12-28T09:04:07Z",
    "title_canon_sha256": "d3b6716763771f952938a670760f7d7dabfb57281597afef779de0e3d4bc3698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08828",
    "kind": "arxiv",
    "version": 3
  }
}