Pith Number

pith:SX42GXQU

pith:2009:SX42GXQUYBVBGUFM52EJRVXYFG

not attested not anchored not stored refs pending

The group of isometries of a locally compact metric space with one end

Antonios Manoussos

arxiv:0911.0154 v2 · 2009-11-01 · math.GN · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX42GXQUYBVBGUFM52EJRVXYFG}

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	2026-05-18T04:40:10.465865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f9a35e14c06a1350acee8898d6f829b6a5f6515f8cdf39cfc8a1de17ed8fa9

Aliases

arxiv: 0911.0154 · arxiv_version: 0911.0154v2 · doi: 10.48550/arxiv.0911.0154 · pith_short_12: SX42GXQUYBVB · pith_short_16: SX42GXQUYBVBGUFM · pith_short_8: SX42GXQU

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/SX42GXQUYBVBGUFM52EJRVXYFG \
  | 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: 95f9a35e14c06a1350acee8898d6f829b6a5f6515f8cdf39cfc8a1de17ed8fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f56753ed258729837077a4ec8e032c6bdf729c33bd9dc4950ccecd9f742cc70",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2009-11-01T12:20:49Z",
    "title_canon_sha256": "eba2a87b25ca6bf162a59d793c244447a3d9ccd61ed9f0cfe9c42ea3c17b8324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0154",
    "kind": "arxiv",
    "version": 2
  }
}