Pith Number

pith:YPVZ5ESM

pith:2016:YPVZ5ESMO5WXSKK3722CCMCI7X

not attested not anchored not stored refs pending

On $(1,2)$-step competition graphs of bipartite tournaments

Jihoon Choi, So Jung Lee, Soogang Eoh, Suh-Ryung Kim

arxiv:1611.01901 v2 · 2016-11-07 · 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{YPVZ5ESMO5WXSKK3722CCMCI7X}

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	2026-05-18T00:59:41.457329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3eb9e924c776d79295bfeb4213048fdd4b56fb0fa69c2fd877b4a8ccdd986d4

Aliases

arxiv: 1611.01901 · arxiv_version: 1611.01901v2 · doi: 10.48550/arxiv.1611.01901 · pith_short_12: YPVZ5ESMO5WX · pith_short_16: YPVZ5ESMO5WXSKK3 · pith_short_8: YPVZ5ESM

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/YPVZ5ESMO5WXSKK3722CCMCI7X \
  | 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: c3eb9e924c776d79295bfeb4213048fdd4b56fb0fa69c2fd877b4a8ccdd986d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17556ed7dd0a78c9291e038b7f48f61f97869b6f867c7bf8ce2d1adcaad515a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-07T06:16:11Z",
    "title_canon_sha256": "78fa8ca75cf7c1a1d371ba2e553b23c6497d508ed92a34a068e98efd1d448566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01901",
    "kind": "arxiv",
    "version": 2
  }
}