Pith Number

pith:6WSZ4E4N

pith:2014:6WSZ4E4NVJY6J6SBVNLJDI5KPF

not attested not anchored not stored refs pending

Double-normal pairs in the plane and on the sphere

J\'anos Pach, Konrad J. Swanepoel

arxiv:1404.2624 v1 · 2014-04-09 · math.CO · 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{6WSZ4E4NVJY6J6SBVNLJDI5KPF}

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	2026-05-18T01:33:58.764224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a59e138daa71e4fa41ab5691a3aa7978e936cf59d0e0d3ee4e6a16467870e8

Aliases

arxiv: 1404.2624 · arxiv_version: 1404.2624v1 · doi: 10.48550/arxiv.1404.2624 · pith_short_12: 6WSZ4E4NVJY6 · pith_short_16: 6WSZ4E4NVJY6J6SB · pith_short_8: 6WSZ4E4N

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/6WSZ4E4NVJY6J6SBVNLJDI5KPF \
  | 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: f5a59e138daa71e4fa41ab5691a3aa7978e936cf59d0e0d3ee4e6a16467870e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443f5baddf8cf8d016dfcd3d385096077eaf68bfa0dc8223a40e22d04f1da047",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-09T20:50:41Z",
    "title_canon_sha256": "b0c6dd6a4564df767d8bad54a415b3af17c1424a71c5ec73c0f39b6f410170f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2624",
    "kind": "arxiv",
    "version": 1
  }
}