Pith Number

pith:KCT2ME6P

pith:2005:KCT2ME6P4KYPKTMFLE5G2O7ZU5

not attested not anchored not stored refs pending

On the automorphism group of generalized Baumslag-Solitar groups

Gilbert Levitt

arxiv:math/0511083 v1 · 2005-11-03 · math.GR · 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{KCT2ME6P4KYPKTMFLE5G2O7ZU5}

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	2026-05-18T02:37:59.678172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50a7a613cfe2b0f54d85593a6d3bf9a75395ccb352fbe6994eb9555e63f4d6a5

Aliases

arxiv: math/0511083 · arxiv_version: math/0511083v1 · doi: 10.48550/arxiv.math/0511083 · pith_short_12: KCT2ME6P4KYP · pith_short_16: KCT2ME6P4KYPKTMF · pith_short_8: KCT2ME6P

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/KCT2ME6P4KYPKTMFLE5G2O7ZU5 \
  | 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: 50a7a613cfe2b0f54d85593a6d3bf9a75395ccb352fbe6994eb9555e63f4d6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1ef92ede28479e30f7270b0e793efddaee734156694f3e57ec18c99d5b5149",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-11-03T13:33:46Z",
    "title_canon_sha256": "15b60b470caf9234b2e965f5e55d383f9f9cad5623ef99f54854b72a0fa98e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511083",
    "kind": "arxiv",
    "version": 1
  }
}