Pith Number

pith:JCZXQZBU

pith:2015:JCZXQZBU53NGNXAVXMY6PZ7HXB

not attested not anchored not stored refs pending

Fractional triangle decompositions in graphs with large minimum degree

Fran\c{c}ois Dross

arxiv:1503.08191 v3 · 2015-03-27 · 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{JCZXQZBU53NGNXAVXMY6PZ7HXB}

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	2026-05-18T01:36:33.644045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48b3786434eeda66dc15bb31e7e7e7b86b471e10a90cbf6f7e1afc1f020af378

Aliases

arxiv: 1503.08191 · arxiv_version: 1503.08191v3 · doi: 10.48550/arxiv.1503.08191 · pith_short_12: JCZXQZBU53NG · pith_short_16: JCZXQZBU53NGNXAV · pith_short_8: JCZXQZBU

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/JCZXQZBU53NGNXAVXMY6PZ7HXB \
  | 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: 48b3786434eeda66dc15bb31e7e7e7b86b471e10a90cbf6f7e1afc1f020af378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63aea22b15ee176ffd445155864581c8fc983e30294702a9ecf6def937e3298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-27T19:22:06Z",
    "title_canon_sha256": "2c4be5f6a69b66edab8c6d465a63d6e8055ecad5e35487994f4f1c5f2f9f4e34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08191",
    "kind": "arxiv",
    "version": 3
  }
}