Pith Number

pith:Q2GYE74J

pith:2026:Q2GYE74JD6EGGBHDOZ6L3QYRME

not attested not anchored not stored refs pending

Quasisymmetric universality, quasi-isometric classification and topological rigidity of Kleinian groups

Peter Ha\"issinsky, Yusheng Luo

arxiv:2608.12287 v1 · 2026-08-12 · math.GT · math.GR · 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{Q2GYE74JD6EGGBHDOZ6L3QYRME}

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	2026-08-13T01:30:43.374403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868d827f891f886304e3767cbdc3116134076b7250add807b705a11b10d3ca96

Aliases

arxiv: 2608.12287 · arxiv_version: 2608.12287v1 · doi: 10.48550/arxiv.2608.12287 · pith_short_12: Q2GYE74JD6EG · pith_short_16: Q2GYE74JD6EGGBHD · pith_short_8: Q2GYE74J

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/Q2GYE74JD6EGGBHDOZ6L3QYRME \
  | 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: 868d827f891f886304e3767cbdc3116134076b7250add807b705a11b10d3ca96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5aa13f263807e56b53228af5bea9677f55058b5409ea87ed1d42670eab8740",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-08-12T17:32:59Z",
    "title_canon_sha256": "ff1595e802a0606c4871594256f8b50233b35efd71112161f3c6ca3d5f14a5b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12287",
    "kind": "arxiv",
    "version": 1
  }
}