Pith Number

pith:2BYMKZCH

pith:2023:2BYMKZCHECDHU7YG4ZT4YPZSWZ

not attested not anchored not stored refs pending

A property on monochromatic copies of graphs containing a triangle

Hao Chen, Jie Ma

arxiv:2304.04601 v1 · 2023-04-10 · 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{2BYMKZCHECDHU7YG4ZT4YPZSWZ}

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	2026-07-05T05:59:27.955845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d070c5644720867a7f06e667cc3f32b648ff77e290dcaccb086575c7e9397032

Aliases

arxiv: 2304.04601 · arxiv_version: 2304.04601v1 · doi: 10.48550/arxiv.2304.04601 · pith_short_12: 2BYMKZCHECDH · pith_short_16: 2BYMKZCHECDHU7YG · pith_short_8: 2BYMKZCH

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/2BYMKZCHECDHU7YG4ZT4YPZSWZ \
  | 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: d070c5644720867a7f06e667cc3f32b648ff77e290dcaccb086575c7e9397032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b84379b039f45973be9cc9a4e47a4936b0ce7d5643b246169606eeb784cff5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-04-10T14:16:25Z",
    "title_canon_sha256": "a005ca5a53be753ef9936906dd735ef8e4c32a9e31337e38b56c0b91675cf3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04601",
    "kind": "arxiv",
    "version": 1
  }
}