Pith Number

pith:CEKPC6Q7

pith:2006:CEKPC6Q7UV2BZQXGYDHB2Q2XDC

not attested not anchored not stored refs pending

On minimal actions of linear fractional and finite simple groups on homology spheres

Bruno P. Zimmermann

arxiv:math/0605465 v4 · 2006-05-17 · 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{CEKPC6Q7UV2BZQXGYDHB2Q2XDC}

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	2026-05-18T04:41:25.587967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1114f17a1fa5741cc2e6c0ce1d435718a19be62afdb73e5f4009584bcc859206

Aliases

arxiv: math/0605465 · arxiv_version: math/0605465v4 · doi: 10.48550/arxiv.math/0605465 · pith_short_12: CEKPC6Q7UV2B · pith_short_16: CEKPC6Q7UV2BZQXG · pith_short_8: CEKPC6Q7

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/CEKPC6Q7UV2BZQXGYDHB2Q2XDC \
  | 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: 1114f17a1fa5741cc2e6c0ce1d435718a19be62afdb73e5f4009584bcc859206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89daf2001c32b15331180253255c0d0d83518ad53d91b04c210a43edff1cc55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-05-17T09:13:58Z",
    "title_canon_sha256": "0330fd18d7f083748a718e4f48e9bacde55c99d5f0a2cca6d3c3e3af3415907b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605465",
    "kind": "arxiv",
    "version": 4
  }
}