Pith Number

pith:WCGQBIAJ

pith:2006:WCGQBIAJRHFIPQ6YPW7RPWETOA

not attested not anchored not stored refs pending

On discontinuous group actions on non-Riemannian homogeneous spaces

Toshiyuki Kobayashi

arxiv:math/0603319 v1 · 2006-03-14 · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCGQBIAJRHFIPQ6YPW7RPWETOA}

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	2026-05-18T04:19:32.794846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b08d00a00989ca87c3d87dbf17d8937005b747be23ade55be21cb5cc01747f12

Aliases

arxiv: math/0603319 · arxiv_version: math/0603319v1 · doi: 10.48550/arxiv.math/0603319 · pith_short_12: WCGQBIAJRHFI · pith_short_16: WCGQBIAJRHFIPQ6Y · pith_short_8: WCGQBIAJ

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/WCGQBIAJRHFIPQ6YPW7RPWETOA \
  | 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: b08d00a00989ca87c3d87dbf17d8937005b747be23ade55be21cb5cc01747f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7fbf4bc8264fa64acdcfb5c91b8516b454c9132e86adfa4f4b924f13fd5d7f2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-03-14T06:43:28Z",
    "title_canon_sha256": "fb6dec707a164e6a6c9cf471b5765a809d5ae2b33a87149827d308cb8e708c6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603319",
    "kind": "arxiv",
    "version": 1
  }
}