Pith Number

pith:LOTT6GL2

pith:2011:LOTT6GL2BNACWSWAWXX2WHZWYE

not attested not anchored not stored refs pending

Quasihyperbolic metric and M\"obius transformations

Matti Vuorinen, Riku Kl\'en, Xiaohui Zhang

arxiv:1108.2967 v3 · 2011-08-15 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOTT6GL2BNACWSWAWXX2WHZWYE}

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	2026-05-18T03:07:02.378724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba73f197a0b402b4ac0b5efab1f36c10a1739878ea04da71733b9560994a5de

Aliases

arxiv: 1108.2967 · arxiv_version: 1108.2967v3 · doi: 10.48550/arxiv.1108.2967 · pith_short_12: LOTT6GL2BNAC · pith_short_16: LOTT6GL2BNACWSWA · pith_short_8: LOTT6GL2

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/LOTT6GL2BNACWSWAWXX2WHZWYE \
  | 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: 5ba73f197a0b402b4ac0b5efab1f36c10a1739878ea04da71733b9560994a5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad682749ac4e3bd741e52ce155e58bb85aa3d708c1350832f7eaa58324cdc44e",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-15T10:58:39Z",
    "title_canon_sha256": "3c6dee70656994af1c0466c8e73e12d551c799a4138d5418110a118373f8e713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2967",
    "kind": "arxiv",
    "version": 3
  }
}