Pith Number

pith:PBTGLQKC

pith:2010:PBTGLQKC7KUIXBB6XQ5WG5SN45

not attested not anchored not stored refs pending

$C^1$-actions of Baumslag-Solitar groups on $S^1$

Isabelle Liousse, Nancy Guelman

arxiv:1010.4133 v1 · 2010-10-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBTGLQKC7KUIXBB6XQ5WG5SN45}

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	2026-05-18T01:22:29.215737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

786665c142faa88b843ebc3b63764de75946b7081227f74e524182014ade9dd0

Aliases

arxiv: 1010.4133 · arxiv_version: 1010.4133v1 · doi: 10.48550/arxiv.1010.4133 · pith_short_12: PBTGLQKC7KUI · pith_short_16: PBTGLQKC7KUIXBB6 · pith_short_8: PBTGLQKC

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/PBTGLQKC7KUIXBB6XQ5WG5SN45 \
  | 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: 786665c142faa88b843ebc3b63764de75946b7081227f74e524182014ade9dd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e2a81f7d9a900df7cd0230f2c79564362a48f862fa1ffb217a4651c71bf05c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-20T08:49:10Z",
    "title_canon_sha256": "f729079956b818b6efed602d8cb228a08680dfef09be2a03b47a665d94c654de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4133",
    "kind": "arxiv",
    "version": 1
  }
}