Pith Number

pith:KDHBB23H

pith:2018:KDHBB23H27FPBNY5UKKF76D3X4

not attested not anchored not stored refs pending

A Note on the DP-Chromatic Number of Complete Bipartite Graphs

Jeffrey A. Mudrock

arxiv:1803.09141 v1 · 2018-03-24 · 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{KDHBB23H27FPBNY5UKKF76D3X4}

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	2026-05-18T00:20:12.520939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ce10eb67d7caf0b71da2945ff87bbf062f39d88750aec704cbb08723bf5b17

Aliases

arxiv: 1803.09141 · arxiv_version: 1803.09141v1 · doi: 10.48550/arxiv.1803.09141 · pith_short_12: KDHBB23H27FP · pith_short_16: KDHBB23H27FPBNY5 · pith_short_8: KDHBB23H

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/KDHBB23H27FPBNY5UKKF76D3X4 \
  | 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: 50ce10eb67d7caf0b71da2945ff87bbf062f39d88750aec704cbb08723bf5b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abaeb0f1eb2367633d488c7a5bc130b0213109686ff7f2cfb369b6e6fc0218ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-24T18:00:13Z",
    "title_canon_sha256": "f78a94d0ae8bcd359708af6e1f81e66202889fe680b22b6a7c32290446a56125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09141",
    "kind": "arxiv",
    "version": 1
  }
}