Pith Number

pith:TBYPNOFU

pith:2018:TBYPNOFUHN3L7XCC5ES5ZRUDSS

not attested not anchored not stored refs pending

The $b$-branching problem in digraphs

Kenjiro Takazawa, Naonori Kakimura, Naoyuki Kamiyama

arxiv:1802.02381 v1 · 2018-02-07 · cs.DM · cs.DS · 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{TBYPNOFUHN3L7XCC5ES5ZRUDSS}

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	2026-05-18T00:24:08.432957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9870f6b8b43b76bfdc42e925dcc68394af2f2640796365e62a42bb1faaa3157d

Aliases

arxiv: 1802.02381 · arxiv_version: 1802.02381v1 · doi: 10.48550/arxiv.1802.02381 · pith_short_12: TBYPNOFUHN3L · pith_short_16: TBYPNOFUHN3L7XCC · pith_short_8: TBYPNOFU

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/TBYPNOFUHN3L7XCC5ES5ZRUDSS \
  | 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: 9870f6b8b43b76bfdc42e925dcc68394af2f2640796365e62a42bb1faaa3157d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28e9ac1bc95e13f54eb8a8cccc5da9db8a2a0a61ef6896c2b3211ff4f511874",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-02-07T10:44:46Z",
    "title_canon_sha256": "1db75072fe2936c73e83063b9d5c94d2937560048330382f9d721585cb393fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02381",
    "kind": "arxiv",
    "version": 1
  }
}