Pith Number

pith:7JRVZICL

pith:2017:7JRVZICLHVGCNBRHXLYPBSGVPY

not attested not anchored not stored refs pending

Cross ratios on boundaries of symmetric spaces and Euclidean buildings

Jonas Beyrer

arxiv:1701.09096 v4 · 2017-01-31 · math.DG · 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{7JRVZICLHVGCNBRHXLYPBSGVPY}

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.

Cited by

1 paper in Pith

Asymptotically Moebius maps and rigidity for the hyperbolic plane

Receipt and verification

First computed	2026-05-17T23:40:42.149730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa635ca04b3d4c268627baf0f0c8d57e2dc1c817b6cbd73b4949faa900e0efcb

Aliases

arxiv: 1701.09096 · arxiv_version: 1701.09096v4 · doi: 10.48550/arxiv.1701.09096 · pith_short_12: 7JRVZICLHVGC · pith_short_16: 7JRVZICLHVGCNBRH · pith_short_8: 7JRVZICL

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/7JRVZICLHVGCNBRHXLYPBSGVPY \
  | 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: fa635ca04b3d4c268627baf0f0c8d57e2dc1c817b6cbd73b4949faa900e0efcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd2f40d29777ea1f03f3ab9fa806d8d3dae3255e9a1b154a5c871a05be1c253",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-31T15:35:57Z",
    "title_canon_sha256": "6d7bba1103de7c76ad0366e2da6108709e28d2897a750c3f556c74ea79738f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09096",
    "kind": "arxiv",
    "version": 4
  }
}