Pith Number

pith:BU4WY2EY

pith:2016:BU4WY2EYOHBU3M7CZF74NDZIA5

not attested not anchored not stored refs pending

Triangle-tilings in graphs without large independent sets

Andrew McDowell, J\'ozsef Balogh, Richard Mycroft, Theodore Molla

arxiv:1607.07789 v1 · 2016-07-26 · 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{BU4WY2EYOHBU3M7CZF74NDZIA5}

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	2026-05-18T01:10:25.230650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d396c689871c34db3e2c97fc68f28074c1a12784bafa2ee2e109dd2d90ad69f

Aliases

arxiv: 1607.07789 · arxiv_version: 1607.07789v1 · doi: 10.48550/arxiv.1607.07789 · pith_short_12: BU4WY2EYOHBU · pith_short_16: BU4WY2EYOHBU3M7C · pith_short_8: BU4WY2EY

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/BU4WY2EYOHBU3M7CZF74NDZIA5 \
  | 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: 0d396c689871c34db3e2c97fc68f28074c1a12784bafa2ee2e109dd2d90ad69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20844b5d89e64c23e47dfe82d7fa895b94a301a5d50c1dba5aaf1f3ead96b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-26T16:38:50Z",
    "title_canon_sha256": "c204dc6b55ce840456bd7b72eabc72e02203f5295b9a8137f436ac36d8d2c126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07789",
    "kind": "arxiv",
    "version": 1
  }
}