Pith Number

pith:7D54O2UM

pith:2016:7D54O2UM5VZBV2ERVWNN5OPHUK

not attested not anchored not stored refs pending

Sparse spanning $k$-connected subgraphs in tournaments

Dong Yeap Kang, Geewon Suh, Jaehoon Kim, Younjin Kim

arxiv:1603.02474 v2 · 2016-03-08 · 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{7D54O2UM5VZBV2ERVWNN5OPHUK}

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	2026-05-18T00:25:21.492402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fbc76a8ced721ae891ad9adeb9e7a292752d5757d4289984120b31bd388baa

Aliases

arxiv: 1603.02474 · arxiv_version: 1603.02474v2 · doi: 10.48550/arxiv.1603.02474 · pith_short_12: 7D54O2UM5VZB · pith_short_16: 7D54O2UM5VZBV2ER · pith_short_8: 7D54O2UM

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/7D54O2UM5VZBV2ERVWNN5OPHUK \
  | 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: f8fbc76a8ced721ae891ad9adeb9e7a292752d5757d4289984120b31bd388baa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58feeb141713192d23322fe9f2fd9bb8757f86ab7369f504be7b4f6626dc9754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-08T10:54:27Z",
    "title_canon_sha256": "4685a99a617594bcaec4526774a65a2a7bb9d75e101d552c8d31f4a395f22644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02474",
    "kind": "arxiv",
    "version": 2
  }
}