Pith Number

pith:NKP4L5WI

pith:2011:NKP4L5WILMZEST5WPKUCWV5HW3

not attested not anchored not stored refs pending

Triangles and groups via cevians

\'Arp\'ad B\'enyi, Branko \'Curgus

arxiv:1109.0557 v2 · 2011-09-02 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKP4L5WILMZEST5WPKUCWV5HW3}

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	2026-05-18T03:36:25.327925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9fc5f6c85b32494fb67aa82b57a7b6f1baa410e3efd24a59029474bc516297

Aliases

arxiv: 1109.0557 · arxiv_version: 1109.0557v2 · doi: 10.48550/arxiv.1109.0557 · pith_short_12: NKP4L5WILMZE · pith_short_16: NKP4L5WILMZEST5W · pith_short_8: NKP4L5WI

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/NKP4L5WILMZEST5WPKUCWV5HW3 \
  | 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: 6a9fc5f6c85b32494fb67aa82b57a7b6f1baa410e3efd24a59029474bc516297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6e1308e49d2f3d8cdf0735e623489db0b89b9879a62e6feeb1a8e3e2893aeb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-09-02T21:04:03Z",
    "title_canon_sha256": "8ba34a9901494b1fb453ee1b87e78757fee26e11e55c6c24d19d3b76a67189ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0557",
    "kind": "arxiv",
    "version": 2
  }
}