Pith Number

pith:UKYEXS62

pith:2016:UKYEXS62NHBHMSKBVRZ7KT3E54

not attested not anchored not stored refs pending

Random triangles in planar regions containing a fixed point

Eugen J. Ionascu

arxiv:1612.08619 v5 · 2016-12-15 · math.HO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKYEXS62NHBHMSKBVRZ7KT3E54}

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	2026-05-18T00:23:56.893776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b04bcbda69c2764941ac73f54f64ef11e68e7e28e817c5fcf6de3003e9fcdb

Aliases

arxiv: 1612.08619 · arxiv_version: 1612.08619v5 · doi: 10.48550/arxiv.1612.08619 · pith_short_12: UKYEXS62NHBH · pith_short_16: UKYEXS62NHBHMSKB · pith_short_8: UKYEXS62

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/UKYEXS62NHBHMSKBVRZ7KT3E54 \
  | 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: a2b04bcbda69c2764941ac73f54f64ef11e68e7e28e817c5fcf6de3003e9fcdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d366c553d32e840c0125f59541e75356ff8b9992c1c4920afb914069a1f968",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-12-15T17:41:53Z",
    "title_canon_sha256": "b5c2decad0653e970784826f09b9e6335a3d98097455aca8bebd27b0276e94d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08619",
    "kind": "arxiv",
    "version": 5
  }
}