Pith Number

pith:GEKU5RND

pith:2011:GEKU5RND3A3Z4J6337NXJ5PA6P

not attested not anchored not stored refs pending

Refined solvable presentations for polycyclic groups

Gunnar Traustason, Ren\'e Hartung

arxiv:1102.1650 v2 · 2011-02-08 · 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{GEKU5RND3A3Z4J6337NXJ5PA6P}

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	2026-05-18T04:29:44.272449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31154ec5a3d8379e27dbdfdb74f5e0f3c9032417da1c7e451c27a32998b2e2af

Aliases

arxiv: 1102.1650 · arxiv_version: 1102.1650v2 · doi: 10.48550/arxiv.1102.1650 · pith_short_12: GEKU5RND3A3Z · pith_short_16: GEKU5RND3A3Z4J63 · pith_short_8: GEKU5RND

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/GEKU5RND3A3Z4J6337NXJ5PA6P \
  | 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: 31154ec5a3d8379e27dbdfdb74f5e0f3c9032417da1c7e451c27a32998b2e2af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "901f6599c98045de80e6ff6dcb14a2e747b23af4289329ee944196e49447c4e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-08T16:41:36Z",
    "title_canon_sha256": "141b84aaca4fd638b2e239c5c1a75797ea0e4a06f264f44438c6e95a893218aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1650",
    "kind": "arxiv",
    "version": 2
  }
}