Pith Number

pith:CF2UZEQD

pith:2013:CF2UZEQDOPH6E5ATAK47SATGHH

not attested not anchored not stored refs pending

Quotients and subgroups of Baumslag-Solitar groups

Gilbert Levitt

arxiv:1308.5122 v2 · 2013-08-23 · 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{CF2UZEQDOPH6E5ATAK47SATGHH}

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	2026-05-17T23:44:05.023493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11754c920373cfe2741302b9f9026639ce6f1767f17becff21f610e8f2d763bd

Aliases

arxiv: 1308.5122 · arxiv_version: 1308.5122v2 · doi: 10.48550/arxiv.1308.5122 · pith_short_12: CF2UZEQDOPH6 · pith_short_16: CF2UZEQDOPH6E5AT · pith_short_8: CF2UZEQD

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/CF2UZEQDOPH6E5ATAK47SATGHH \
  | 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: 11754c920373cfe2741302b9f9026639ce6f1767f17becff21f610e8f2d763bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b098b5ee75da8ae57d6566cb0add93973d235ce97b096738143b7e22fd6b6e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-23T13:25:18Z",
    "title_canon_sha256": "b26449ceedc1cbce6762e643ec26f1b15ea6291b23fc29f1546af8c1c1b13c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5122",
    "kind": "arxiv",
    "version": 2
  }
}