Pith Number

pith:75VJ2JTI

pith:2005:75VJ2JTIKZEJBE2CFIZILZU55B

not attested not anchored not stored refs pending

Splittings of generalized Baumslag-Solitar groups

Max Forester

arxiv:math/0502060 v2 · 2005-02-02 · 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{75VJ2JTIKZEJBE2CFIZILZU55B}

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	2026-05-18T01:04:46.673601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6a9d266856489093422a3285e69de86036611beac28fb1a1d84a8e4f4d9761

Aliases

arxiv: math/0502060 · arxiv_version: math/0502060v2 · doi: 10.48550/arxiv.math/0502060 · pith_short_12: 75VJ2JTIKZEJ · pith_short_16: 75VJ2JTIKZEJBE2C · pith_short_8: 75VJ2JTI

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/75VJ2JTIKZEJBE2CFIZILZU55B \
  | 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: ff6a9d266856489093422a3285e69de86036611beac28fb1a1d84a8e4f4d9761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851f1b25249cc2dc380217dc94ac5b0825089ee99e669250f7c6346e12394703",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2005-02-02T22:30:33Z",
    "title_canon_sha256": "9d24a9a2cd87d8ff3429b70ce030f708dc7f4e188703a3490f88c03b66fec03c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502060",
    "kind": "arxiv",
    "version": 2
  }
}