Pith Number

pith:TN2FCZKX

pith:2016:TN2FCZKXK4IBP4ACL3ESDNZWJI

not attested not anchored not stored refs pending

Cut Tree Construction from Massive Graphs

Naoto Mizuno, Takuya Akiba, Yoichi Iwata, Yosuke Sameshima, Yosuke Yano

arxiv:1609.08723 v1 · 2016-09-28 · cs.DS · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TN2FCZKXK4IBP4ACL3ESDNZWJI}

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	2026-05-18T01:03:42.095261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b74516557571017f0025ec921b7364a0fa9db12f8f441d970b11d914718c044

Aliases

arxiv: 1609.08723 · arxiv_version: 1609.08723v1 · doi: 10.48550/arxiv.1609.08723 · pith_short_12: TN2FCZKXK4IB · pith_short_16: TN2FCZKXK4IBP4AC · pith_short_8: TN2FCZKX

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/TN2FCZKXK4IBP4ACL3ESDNZWJI \
  | 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: 9b74516557571017f0025ec921b7364a0fa9db12f8f441d970b11d914718c044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd67ba2069b3572c4a3468da19f24a7be40a7bde886f92568c83127169208621",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-09-28T01:49:46Z",
    "title_canon_sha256": "97b4583aef747376c653ea8b156deae80e4941fe0c90de6f7597756f504ffd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08723",
    "kind": "arxiv",
    "version": 1
  }
}