Pith Number

pith:B5IMHGIF

pith:2024:B5IMHGIFUQUZBPTUKP6URFZHQJ

not attested not anchored not stored refs pending

Almost colour-balanced spanning forests in complete graphs

Adva Mond, Julien Portier, Lawrence Hollom

arxiv:2410.06148 v1 · 2024-10-08 · 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{B5IMHGIFUQUZBPTUKP6URFZHQJ}

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

Colour-balanced subgraphs

Receipt and verification

First computed	2026-07-05T09:17:56.590041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f50c39905a42990be7453fd4897278265f5a2ffd91660b7a4367e1f8dab685c

Aliases

arxiv: 2410.06148 · arxiv_version: 2410.06148v1 · doi: 10.48550/arxiv.2410.06148 · pith_short_12: B5IMHGIFUQUZ · pith_short_16: B5IMHGIFUQUZBPTU · pith_short_8: B5IMHGIF

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/B5IMHGIFUQUZBPTUKP6URFZHQJ \
  | 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: 0f50c39905a42990be7453fd4897278265f5a2ffd91660b7a4367e1f8dab685c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b996f15903e4ef069b1abbde364d904063c486b96c8d1c68c715180fdfea61a2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-10-08T15:48:20Z",
    "title_canon_sha256": "4fbc4863eb93575a40c88c33b6e5beb74f93cb71411ac44ec3e1c6bb40f26174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06148",
    "kind": "arxiv",
    "version": 1
  }
}