Pith Number

pith:5FMOVUBG

pith:2012:5FMOVUBG2STYIGXNFDB23OZEVO

not attested not anchored not stored refs pending

The visual angle metric and M\"obius transformations

Gendi Wang, Henri Lind\'en, Matti Vuorinen, Riku Kl\'en

arxiv:1208.2871 v4 · 2012-08-14 · 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{5FMOVUBG2STYIGXNFDB23OZEVO}

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	2026-05-18T01:13:31.379158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e958ead026d4a7841aed28c3adbb24ab8f3a489fca9e7e867998aa846725d486

Aliases

arxiv: 1208.2871 · arxiv_version: 1208.2871v4 · doi: 10.48550/arxiv.1208.2871 · pith_short_12: 5FMOVUBG2STY · pith_short_16: 5FMOVUBG2STYIGXN · pith_short_8: 5FMOVUBG

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/5FMOVUBG2STYIGXNFDB23OZEVO \
  | 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: e958ead026d4a7841aed28c3adbb24ab8f3a489fca9e7e867998aa846725d486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee222a5def225bafe60ffca434712f6fbdbaa06b2d846aa1dc5858f8ce8b0950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-14T14:10:45Z",
    "title_canon_sha256": "0861d169b2553bc8e50445bcb919cbb792e6d348e796dc181a4d9c9023101a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2871",
    "kind": "arxiv",
    "version": 4
  }
}