Pith Number

pith:3HG5C3JY

pith:2016:3HG5C3JYRTWLWJZNVMHKXVBHXG

not attested not anchored not stored refs pending

Different definitions of conic sections in hyperbolic geometry

Jonathan Rosenberg, Patrick Chao

arxiv:1603.09285 v2 · 2016-03-30 · 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{3HG5C3JYRTWLWJZNVMHKXVBHXG}

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	2026-05-18T00:18:54.215150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9cdd16d388cecbb272dab0eabd427b9b67443941f2bcd10b7b0514e346cbb16

Aliases

arxiv: 1603.09285 · arxiv_version: 1603.09285v2 · doi: 10.48550/arxiv.1603.09285 · pith_short_12: 3HG5C3JYRTWL · pith_short_16: 3HG5C3JYRTWLWJZN · pith_short_8: 3HG5C3JY

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/3HG5C3JYRTWLWJZNVMHKXVBHXG \
  | 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: d9cdd16d388cecbb272dab0eabd427b9b67443941f2bcd10b7b0514e346cbb16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f56c0dcaeefaff442371face0c8579648c7c5e940fa03b8017b0406d5e2042c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-03-30T17:29:18Z",
    "title_canon_sha256": "11f1f3bd717eec2c45492fe5e783829670406e32b03a5b54ea47b705e1893ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09285",
    "kind": "arxiv",
    "version": 2
  }
}