Pith Number

pith:LM2PPMMW

pith:2018:LM2PPMMWFZ7C26SRB5JBLLVQS4

not attested not anchored not stored refs pending

Unavoidable Subtournaments in Tournaments with Large Chromatic Number

Ilhee Kim, Ringi Kim

arxiv:1804.04787 v1 · 2018-04-13 · 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{LM2PPMMWFZ7C26SRB5JBLLVQS4}

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	2026-05-18T00:18:34.986721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b34f7b1962e7e2d7a510f5215aeb0972f3ad1948ca95668405fc17ca41a2b14

Aliases

arxiv: 1804.04787 · arxiv_version: 1804.04787v1 · doi: 10.48550/arxiv.1804.04787 · pith_short_12: LM2PPMMWFZ7C · pith_short_16: LM2PPMMWFZ7C26SR · pith_short_8: LM2PPMMW

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/LM2PPMMWFZ7C26SRB5JBLLVQS4 \
  | 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: 5b34f7b1962e7e2d7a510f5215aeb0972f3ad1948ca95668405fc17ca41a2b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6f3e17488a47048217ae39b3f5781aad55a62b0426a62d4acdf8336d447dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-04-13T04:20:37Z",
    "title_canon_sha256": "952600b3e67981f11af2da54dba0355c43d5bd1fbdc63cdedb3b24b5b4b653ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04787",
    "kind": "arxiv",
    "version": 1
  }
}