Pith Number

pith:4HEM4MZP

pith:2005:4HEM4MZPYULVW33GJSUGF5OQAH

not attested not anchored not stored refs pending

Realising end invariants by limits of minimally parabolic, geometrically finite groups

Ken'ichi Ohshika

arxiv:math/0504546 v4 · 2005-04-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HEM4MZPYULVW33GJSUGF5OQAH}

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	2026-05-18T02:37:59.782252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c8ce332fc5175b6f664ca862f5d001e45ef7e7ebd7340dde5802c294dd9ce8

Aliases

arxiv: math/0504546 · arxiv_version: math/0504546v4 · doi: 10.48550/arxiv.math/0504546 · pith_short_12: 4HEM4MZPYULV · pith_short_16: 4HEM4MZPYULVW33G · pith_short_8: 4HEM4MZP

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/4HEM4MZPYULVW33GJSUGF5OQAH \
  | 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: e1c8ce332fc5175b6f664ca862f5d001e45ef7e7ebd7340dde5802c294dd9ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7596403200376cfab2eb87e8ad66bae01b6752166c093915a1e947f416307d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-04-27T08:13:28Z",
    "title_canon_sha256": "f574375b2e8834adac048ba870e9039dbf69a9c021d5cca1c01ddeee2e7ca345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504546",
    "kind": "arxiv",
    "version": 4
  }
}