Pith Number

pith:OD5U7NIO

pith:2004:OD5U7NIOGOWFVB26VPXRUHXFOR

not attested not anchored not stored refs pending

A context-free and a 1-counter geodesic language for a Baumslag-Solitar group

Murray Elder

arxiv:math/0411166 v1 · 2004-11-08 · 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{OD5U7NIOGOWFVB26VPXRUHXFOR}

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	2026-05-18T03:55:35.908075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70fb4fb50e33ac5a875eabef1a1ee57477420f75c5b6cfa2de7164e4f4d3b657

Aliases

arxiv: math/0411166 · arxiv_version: math/0411166v1 · doi: 10.48550/arxiv.math/0411166 · pith_short_12: OD5U7NIOGOWF · pith_short_16: OD5U7NIOGOWFVB26 · pith_short_8: OD5U7NIO

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/OD5U7NIOGOWFVB26VPXRUHXFOR \
  | 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: 70fb4fb50e33ac5a875eabef1a1ee57477420f75c5b6cfa2de7164e4f4d3b657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b16f530182716e45095b6674d1d172cf65e45b4c2a463d1071e758688cfc2e8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-11-08T15:07:58Z",
    "title_canon_sha256": "1f6f115b5f284725e5dc26321db81b699b3f897db3e6fab13828a046c8f6a65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411166",
    "kind": "arxiv",
    "version": 1
  }
}