Pith Number

pith:3N3OD4EH

pith:2026:3N3OD4EH3HSHFVJP5WOISAAHOC

not attested not anchored not stored refs pending

A minimum-degree threshold for colour-biased Hamilton cycles in hypergraphs

Felix Christian Clemen, Joseph Hyde, Natalie Behague, Natasha Morrison

arxiv:2607.29628 v1 · 2026-07-31 · 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{3N3OD4EH3HSHFVJP5WOISAAHOC}

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

Layer barriers for colour-biased tight Hamilton cycles

Receipt and verification

First computed	2026-08-03T01:41:01.057694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db76e1f087d9e472d52fed9c89000770857ab78625865b5324113916f17dad45

Aliases

arxiv: 2607.29628 · arxiv_version: 2607.29628v1 · doi: 10.48550/arxiv.2607.29628 · pith_short_12: 3N3OD4EH3HSH · pith_short_16: 3N3OD4EH3HSHFVJP · pith_short_8: 3N3OD4EH

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/3N3OD4EH3HSHFVJP5WOISAAHOC \
  | 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: db76e1f087d9e472d52fed9c89000770857ab78625865b5324113916f17dad45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4e4c7f3a820bb7b9ac938393ed6253f42fb43f10e6affe35155c30058be1a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-31T17:00:52Z",
    "title_canon_sha256": "2c36ebc12989af205527f4d5101eb43fb579e51d8f1a5a466b275a4594936bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29628",
    "kind": "arxiv",
    "version": 1
  }
}