Pith Number

pith:LYURO2XB

pith:2013:LYURO2XBFPYZBMSUB2XDZZKPNB

not attested not anchored not stored refs pending

Andrews-Curtis and Nielsen equivalence relations on some infinite groups

Aglaia Myropolska

arxiv:1304.2668 v2 · 2013-04-09 · 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{LYURO2XBFPYZBMSUB2XDZZKPNB}

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	2026-05-18T01:21:14.110061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e29176ae12bf190b2540eae3ce54f685ac92471a0ff8ae015e97d7c8be980f2

Aliases

arxiv: 1304.2668 · arxiv_version: 1304.2668v2 · doi: 10.48550/arxiv.1304.2668 · pith_short_12: LYURO2XBFPYZ · pith_short_16: LYURO2XBFPYZBMSU · pith_short_8: LYURO2XB

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/LYURO2XBFPYZBMSUB2XDZZKPNB \
  | 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: 5e29176ae12bf190b2540eae3ce54f685ac92471a0ff8ae015e97d7c8be980f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c63954d55aa1aaf8d193f6fb4cf6606e0dc7dcd0250fc46e8d5f5a36695afd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-09T17:21:15Z",
    "title_canon_sha256": "113f9f343ce16acfd6f31add932a55ba1b4e93cddc8964c6ac236bcecd816f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2668",
    "kind": "arxiv",
    "version": 2
  }
}