Pith Number

pith:C3647BBI

pith:2010:C3647BBI5P57VJ2FJECPBNGQY7

not attested not anchored not stored refs pending

Finitely generated soluble groups and their subgroups

Derek Holt, Tara Brough

arxiv:1009.4149 v3 · 2010-09-21 · 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{C3647BBI5P57VJ2FJECPBNGQY7}

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	2026-05-18T01:30:49.621461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16fdcf8428ebfbfaa7454904f0b4d0c7c38bc3911f66ab5de0e54d74f6d3c482

Aliases

arxiv: 1009.4149 · arxiv_version: 1009.4149v3 · doi: 10.48550/arxiv.1009.4149 · pith_short_12: C3647BBI5P57 · pith_short_16: C3647BBI5P57VJ2F · pith_short_8: C3647BBI

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/C3647BBI5P57VJ2FJECPBNGQY7 \
  | 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: 16fdcf8428ebfbfaa7454904f0b4d0c7c38bc3911f66ab5de0e54d74f6d3c482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74ffeac1a8754a7d03453c1017ff68a84bc00174e6b178fe4e88bd8369d98349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-21T17:17:15Z",
    "title_canon_sha256": "bba72569831c5aaa554702cc2611d7f1024fdd7e4e91a85c2399250c7bfd814e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4149",
    "kind": "arxiv",
    "version": 3
  }
}