Pith Number

pith:ZJDWGPE7

pith:2010:ZJDWGPE7QDY3E7YNP52LJSJQXA

not attested not anchored not stored refs pending

Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces

Sergei Buyalo, Viktor Schroeder

arxiv:1012.1699 v1 · 2010-12-08 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJDWGPE7QDY3E7YNP52LJSJQXA}

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	2026-05-18T04:33:51.418640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca47633c9f80f1b27f0d7f74b4c930b815ecef3d8ae925528c8f55e8c05db419

Aliases

arxiv: 1012.1699 · arxiv_version: 1012.1699v1 · doi: 10.48550/arxiv.1012.1699 · pith_short_12: ZJDWGPE7QDY3 · pith_short_16: ZJDWGPE7QDY3E7YN · pith_short_8: ZJDWGPE7

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/ZJDWGPE7QDY3E7YNP52LJSJQXA \
  | 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: ca47633c9f80f1b27f0d7f74b4c930b815ecef3d8ae925528c8f55e8c05db419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "195efea2b4ff34be3aeed54a6d41ff27438eb15e30b7b315675cc2e124b2ec7b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-12-08T07:57:11Z",
    "title_canon_sha256": "a0a5211dae1b8fddc51883c15aa9044d5362b13713d1bb7321ef26c1231724a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1699",
    "kind": "arxiv",
    "version": 1
  }
}