pith. sign in
Pith Number

pith:PSR4GUT7

pith:2014:PSR4GUT7ZQIQKDLPUKXF3PBYMM
not attested not anchored not stored refs pending

Almost Empty Monochromatic Triangles in Planar Point Sets

Bhaswar B. Bhattacharya, Deepan Basu, Kinjal Basu, Sandip Das

arxiv:1410.0424 v2 · 2014-10-02 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PSR4GUT7ZQIQKDLPUKXF3PBYMM}

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 2026-05-18T01:44:11.761371Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ca3c3527fcc11050d6fa2ae5dbc386330c242acfcc1eccf9c44bc67672ed06c

Aliases

arxiv: 1410.0424 · arxiv_version: 1410.0424v2 · doi: 10.48550/arxiv.1410.0424 · pith_short_12: PSR4GUT7ZQIQ · pith_short_16: PSR4GUT7ZQIQKDLP · pith_short_8: PSR4GUT7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PSR4GUT7ZQIQKDLPUKXF3PBYMM \
  | 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: 7ca3c3527fcc11050d6fa2ae5dbc386330c242acfcc1eccf9c44bc67672ed06c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "acf747e46169368fff2174df2b247c57689bd8ebbb4b8eca1c38c2b0bf140a44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-02T00:42:50Z",
    "title_canon_sha256": "23da4c9c9f72ed416243d66e1410a7d72a028277fbee1978879f7cdd363da7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0424",
    "kind": "arxiv",
    "version": 2
  }
}