Pith Number

pith:2H64THW7

pith:2005:2H64THW7FOKIQEQHKHH4RTSJP2

not attested not anchored not stored refs pending

Compact Clifford-Klein forms of symmetric spaces -- revisited

Taro Yoshino, Toshiyuki Kobayashi

arxiv:math/0509543 v1 · 2005-09-23 · 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{2H64THW7FOKIQEQHKHH4RTSJP2}

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	2026-05-18T04:19:33.689923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fdc99edf2b9488120751cfc8ce497e98dadbebe087a4d853daea4d02fc1db6

Aliases

arxiv: math/0509543 · arxiv_version: math/0509543v1 · doi: 10.48550/arxiv.math/0509543 · pith_short_12: 2H64THW7FOKI · pith_short_16: 2H64THW7FOKIQEQH · pith_short_8: 2H64THW7

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/2H64THW7FOKIQEQHKHH4RTSJP2 \
  | 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: d1fdc99edf2b9488120751cfc8ce497e98dadbebe087a4d853daea4d02fc1db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2566135e5b64f36fabd914943b631a79dab7a24038274a90899180b4bcc91ab7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-09-23T10:07:21Z",
    "title_canon_sha256": "c6da76fd6beae26b9ee6d05ae5830c127829d481c649c3a502d54b78bd0e6f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509543",
    "kind": "arxiv",
    "version": 1
  }
}