Pith Number

pith:23XV6LA2

pith:2018:23XV6LA2DCHAIBGR372NF5OUSQ

not attested not anchored not stored refs pending

Centering Koebe polyhedra via M\"obius transformations

Zsolt L\'angi

arxiv:1804.07572 v3 · 2018-04-20 · math.MG · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23XV6LA2DCHAIBGR372NF5OUSQ}

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	2026-05-18T00:01:38.488021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ef5f2c1a188e0404d1dff4d2f5d49412b50c4b63a53cc7cae7e22b91e7024a

Aliases

arxiv: 1804.07572 · arxiv_version: 1804.07572v3 · doi: 10.48550/arxiv.1804.07572 · pith_short_12: 23XV6LA2DCHA · pith_short_16: 23XV6LA2DCHAIBGR · pith_short_8: 23XV6LA2

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/23XV6LA2DCHAIBGR372NF5OUSQ \
  | 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: d6ef5f2c1a188e0404d1dff4d2f5d49412b50c4b63a53cc7cae7e22b91e7024a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2894d7f924734747a1c67010ad3bc1b2843b68db0d95d047bc2761a696fcfd64",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-20T12:17:50Z",
    "title_canon_sha256": "8fc487c9f5c94ba73acc0fb4fba40d41aa04e9eb0377099e36f731c8cd5949bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07572",
    "kind": "arxiv",
    "version": 3
  }
}