Pith Number

pith:KKRXHNNE

pith:2015:KKRXHNNEKHRUMWERLEAD6HMPAC

not attested not anchored not stored refs pending

On the Rectilinear Crossing Number of Complete Uniform Hypergraphs

Anurag Anshu, Rahul Gangopadhyay, Saswata Shannigrahi, Satyanarayana Vusirikala

arxiv:1512.01335 v3 · 2015-12-04 · 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{KKRXHNNEKHRUMWERLEAD6HMPAC}

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	2026-05-17T23:56:56.290696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a373b5a451e346589159003f1d8f00959b7105ec0c3be74bad4750320e574c

Aliases

arxiv: 1512.01335 · arxiv_version: 1512.01335v3 · doi: 10.48550/arxiv.1512.01335 · pith_short_12: KKRXHNNEKHRU · pith_short_16: KKRXHNNEKHRUMWER · pith_short_8: KKRXHNNE

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/KKRXHNNEKHRUMWERLEAD6HMPAC \
  | 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: 52a373b5a451e346589159003f1d8f00959b7105ec0c3be74bad4750320e574c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a011cc6d88dfb5f06a5fca7b96f6e005fccf29906a6e659f4b263c911e6590f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-04T08:08:24Z",
    "title_canon_sha256": "c3a6a6e82d46a7a5170901f3fbd665d5aaa1e5803bd9c5d17ad304d7545e2a3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01335",
    "kind": "arxiv",
    "version": 3
  }
}