Pith Number

pith:GVU5EYTA

pith:2012:GVU5EYTACY4RB427BOPCQUMVJ2

not attested not anchored not stored refs pending

Why is Helfenstein's claim about equichordal points false?

Marek Rychlik

arxiv:1202.1609 v1 · 2012-02-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVU5EYTACY4RB427BOPCQUMVJ2}

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	2026-05-18T03:51:48.613272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3569d26260163910f35f0b9e2851954ea45cb69feb9cae826e5463100f5de2f1

Aliases

arxiv: 1202.1609 · arxiv_version: 1202.1609v1 · doi: 10.48550/arxiv.1202.1609 · pith_short_12: GVU5EYTACY4R · pith_short_16: GVU5EYTACY4RB427 · pith_short_8: GVU5EYTA

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/GVU5EYTACY4RB427BOPCQUMVJ2 \
  | 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: 3569d26260163910f35f0b9e2851954ea45cb69feb9cae826e5463100f5de2f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cce3d391c8bccb2dfa91ea167e0443edfe2b341961b3d1ea8c88e55a837d128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-08T06:52:21Z",
    "title_canon_sha256": "c911a8d2b832d92ce690fc6b8d29ee7db5703e1a859fbe858ae42d0376b45c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1609",
    "kind": "arxiv",
    "version": 1
  }
}