Pith Number

pith:YYO55GTW

pith:2011:YYO55GTWBWB7CRNE63XY57BEYR

not attested not anchored not stored refs pending

A generalization of Routh's triangle theorem

Arpad Benyi, Branko Curgus

arxiv:1112.4813 v2 · 2011-12-20 · 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{YYO55GTWBWB7CRNE63XY57BEYR}

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	2026-05-18T03:49:19.831254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61dde9a760d83f145a4f6ef8efc24c477673c600d0f4fc306c1aa530a258706

Aliases

arxiv: 1112.4813 · arxiv_version: 1112.4813v2 · doi: 10.48550/arxiv.1112.4813 · pith_short_12: YYO55GTWBWB7 · pith_short_16: YYO55GTWBWB7CRNE · pith_short_8: YYO55GTW

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/YYO55GTWBWB7CRNE63XY57BEYR \
  | 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: c61dde9a760d83f145a4f6ef8efc24c477673c600d0f4fc306c1aa530a258706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da6e8e68362b6331a6fac58147b3e1b9b6e1807a8fca99a36a18157b958ff00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-20T20:00:19Z",
    "title_canon_sha256": "08984391e90ca6ebba4857eb0ab68f80ab5c9a13d5db8189ba9548c68126108b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4813",
    "kind": "arxiv",
    "version": 2
  }
}