Pith Number

pith:CBP4HF52

pith:2024:CBP4HF52Q742FN2G3APV33SSA3

not attested not anchored not stored refs pending

Monochromatic odd cycles in edge-coloured complete graphs

Ant\'onio Gir\~ao, Zach Hunter

arxiv:2412.07708 v1 · 2024-12-10 · 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{CBP4HF52Q742FN2G3APV33SSA3}

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.

Cited by

1 paper in Pith

Improved Ramsey bounds for generalized Schur equations

Receipt and verification

First computed	2026-07-05T09:47:14.314478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105fc397ba87f9a2b746d81f5dee5206dff11494db8707f64985b59f88dc0130

Aliases

arxiv: 2412.07708 · arxiv_version: 2412.07708v1 · doi: 10.48550/arxiv.2412.07708 · pith_short_12: CBP4HF52Q742 · pith_short_16: CBP4HF52Q742FN2G · pith_short_8: CBP4HF52

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/CBP4HF52Q742FN2G3APV33SSA3 \
  | 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: 105fc397ba87f9a2b746d81f5dee5206dff11494db8707f64985b59f88dc0130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3298bf2ab8ea488666751b9a71fc139874855b1d1f7023434698590d76436fa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-10T17:57:14Z",
    "title_canon_sha256": "4365cd7d0de74781fb4a437a68909af29385b8c1b0c116e2443a119d17046260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07708",
    "kind": "arxiv",
    "version": 1
  }
}