Pith Number

pith:JDW4YM2T

pith:2016:JDW4YM2TTS3RYEOG3R2J3XQZ3Z

not attested not anchored not stored refs pending

Cycles with two blocks in $k$-chromatic digraphs

Boram Park, Jie Ma, Ringi Kim, Seog-Jin Kim

arxiv:1610.05839 v1 · 2016-10-19 · 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{JDW4YM2TTS3RYEOG3R2J3XQZ3Z}

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	2026-05-18T01:01:50.987636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48edcc33539cb71c11c6dc749dde19de78dd1c55c78a03d790ea6ad9b2c31e74

Aliases

arxiv: 1610.05839 · arxiv_version: 1610.05839v1 · doi: 10.48550/arxiv.1610.05839 · pith_short_12: JDW4YM2TTS3R · pith_short_16: JDW4YM2TTS3RYEOG · pith_short_8: JDW4YM2T

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/JDW4YM2TTS3RYEOG3R2J3XQZ3Z \
  | 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: 48edcc33539cb71c11c6dc749dde19de78dd1c55c78a03d790ea6ad9b2c31e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d606b10bf85586e9a5765257acbe005e059d213f95ec06da2f3391f1ba51d05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-19T01:36:06Z",
    "title_canon_sha256": "5bf5943f2cd67c65e39cc51bc247122828b46789c6bf7e09409e1187b52f5e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05839",
    "kind": "arxiv",
    "version": 1
  }
}