Pith Number

pith:G4DKFSQL

pith:2009:G4DKFSQLWOYZS7GHRMGTNHT4RT

not attested not anchored not stored refs pending

A relationship between twisted conjugacy classes and the geometric invariants $\Omega^n$

Nic Koban, Peter Wong

arxiv:0911.3385 v3 · 2009-11-17 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4DKFSQLWOYZS7GHRMGTNHT4RT}

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	2026-05-18T04:22:31.993271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3706a2ca0bb3b1997cc78b0d369e7c8cc7c00da5fe6a4dd9f0aaf2c90dd899b9

Aliases

arxiv: 0911.3385 · arxiv_version: 0911.3385v3 · doi: 10.48550/arxiv.0911.3385 · pith_short_12: G4DKFSQLWOYZ · pith_short_16: G4DKFSQLWOYZS7GH · pith_short_8: G4DKFSQL

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/G4DKFSQLWOYZS7GHRMGTNHT4RT \
  | 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: 3706a2ca0bb3b1997cc78b0d369e7c8cc7c00da5fe6a4dd9f0aaf2c90dd899b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae44a234902f9e0b9502228da2bfa2f65eba6df6e0b5e9b8c0e1a404f3a865ad",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-17T19:41:10Z",
    "title_canon_sha256": "354ea61f5626f08b96bc61f73c4d8346dd4af674ddbc01d0d818e477dd6feeda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3385",
    "kind": "arxiv",
    "version": 3
  }
}