Pith Number

pith:4EHL5357

pith:2007:4EHL5357HK7VJNDFIBT4QLAWUF

not attested not anchored not stored refs pending

On the isomorphism problem for generalized Baumslag-Solitar groups

Matt Clay, Max Forester

arxiv:0710.2108 v2 · 2007-10-10 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EHL5357HK7VJNDFIBT4QLAWUF}

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	2026-05-18T02:41:51.915219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10ebeefbf3abf54b4654067c82c16a144bc3ad0f5a1ab7315943c289261e706

Aliases

arxiv: 0710.2108 · arxiv_version: 0710.2108v2 · doi: 10.48550/arxiv.0710.2108 · pith_short_12: 4EHL5357HK7V · pith_short_16: 4EHL5357HK7VJNDF · pith_short_8: 4EHL5357

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/4EHL5357HK7VJNDFIBT4QLAWUF \
  | 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: e10ebeefbf3abf54b4654067c82c16a144bc3ad0f5a1ab7315943c289261e706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a732f4f77d759ad2f4121f6669f5a9412b8adfc56a530a624871eaf80140922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-10-10T20:35:48Z",
    "title_canon_sha256": "9733099e072d676adec2b729f0b929a8722dcbf6c41f29c2a9998f11fc02fd08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2108",
    "kind": "arxiv",
    "version": 2
  }
}