Pith Number

pith:GMFSLXKQ

pith:2024:GMFSLXKQZY6FJPWE5KOBWTOML2

not attested not anchored not stored refs pending

Bipartite graphs are $(\frac{4}{5}-\varepsilon) \frac{\Delta}{\log \Delta}$-choosable

Bojan Mohar, Ladislav Stacho, Peter Bradshaw

arxiv:2409.01513 v1 · 2024-09-03 · 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{GMFSLXKQZY6FJPWE5KOBWTOML2}

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

On the list version of a conjecture of Erd\H{o}s and Neumann-Lara

Receipt and verification

First computed	2026-07-05T09:02:30.098127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330b25dd50ce3c54bec4ea9c1b4dcc5ead5592c9e25a903e571931681783e7b3

Aliases

arxiv: 2409.01513 · arxiv_version: 2409.01513v1 · doi: 10.48550/arxiv.2409.01513 · pith_short_12: GMFSLXKQZY6F · pith_short_16: GMFSLXKQZY6FJPWE · pith_short_8: GMFSLXKQ

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/GMFSLXKQZY6FJPWE5KOBWTOML2 \
  | 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: 330b25dd50ce3c54bec4ea9c1b4dcc5ead5592c9e25a903e571931681783e7b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8533196119b8ab2f297f2d2ecddf92d8605d2a1293cce80c95c6e4d37343bafe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-03T00:56:37Z",
    "title_canon_sha256": "66592c9718a08e40f9270bd5b19c336afcfd2394fc18bfca7cf798001d6d61f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01513",
    "kind": "arxiv",
    "version": 1
  }
}