Pith Number

pith:MAGKKH3Y

pith:2021:MAGKKH3YBO42GIB6SCDZD3M5J7

not attested not anchored not stored refs pending

Hyperbolic cone metrics and billiards

Chandrika Sadanand, Christopher J. Leininger, Viveka Erlandsson

arxiv:2104.12176 v2 · 2021-04-25 · math.GT · 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{MAGKKH3YBO42GIB6SCDZD3M5J7}

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	2026-07-05T04:49:28.895082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600ca51f780bb9a3203e908791ed9d4fdcc1e1908287390303bb0cb513949afe

Aliases

arxiv: 2104.12176 · arxiv_version: 2104.12176v2 · doi: 10.48550/arxiv.2104.12176 · pith_short_12: MAGKKH3YBO42 · pith_short_16: MAGKKH3YBO42GIB6 · pith_short_8: MAGKKH3Y

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/MAGKKH3YBO42GIB6SCDZD3M5J7 \
  | 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: 600ca51f780bb9a3203e908791ed9d4fdcc1e1908287390303bb0cb513949afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27ed905108cbf24c7047aa98f33aa70d27baedbfdd09e9c7e3027a5706b0f0a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-04-25T14:53:52Z",
    "title_canon_sha256": "6426b6583265a330bd48152b82b10fe4f3eaec29f5006e424fa6275507cb8c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12176",
    "kind": "arxiv",
    "version": 2
  }
}