Pith Number

pith:KL5GXEAZ

pith:2019:KL5GXEAZWPTGH5F2UGMBHYGK2S

not attested not anchored not stored refs pending

The conic geometry of rectangles inscribed in lines

Bruce Olberding, Elaine A. Walker

arxiv:1908.05413 v2 · 2019-08-15 · 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{KL5GXEAZWPTGH5F2UGMBHYGK2S}

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	2026-07-05T03:02:36.488466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52fa6b9019b3e663f4baa19813e0cad4b498bde515496dee246cb3779db28863

Aliases

arxiv: 1908.05413 · arxiv_version: 1908.05413v2 · doi: 10.48550/arxiv.1908.05413 · pith_short_12: KL5GXEAZWPTG · pith_short_16: KL5GXEAZWPTGH5F2 · pith_short_8: KL5GXEAZ

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/KL5GXEAZWPTGH5F2UGMBHYGK2S \
  | 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: 52fa6b9019b3e663f4baa19813e0cad4b498bde515496dee246cb3779db28863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24044b1fc34f024fe70cde043ea2701c68eca886849e853a3ef78adfe40c4b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-08-15T04:25:43Z",
    "title_canon_sha256": "634dc869caced4005f92a7255b112526bd2ab6a2e9e9bbe58b4226cdbb5a0caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05413",
    "kind": "arxiv",
    "version": 2
  }
}