Pith Number

pith:LM2YXABG

pith:2011:LM2YXABGS5FY3GWDE5VAJS2YCR

not attested not anchored not stored refs pending

The word problem for some uncountable groups given by countable words

Andreas Zastrow, Oleg Bogopolski

arxiv:1103.0725 v1 · 2011-03-03 · 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{LM2YXABGS5FY3GWDE5VAJS2YCR}

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	2026-05-18T04:27:27.452124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b358b8026974b8d9ac3276a04cb58144984aa831e6bec2c41ffc05609254cb3

Aliases

arxiv: 1103.0725 · arxiv_version: 1103.0725v1 · doi: 10.48550/arxiv.1103.0725 · pith_short_12: LM2YXABGS5FY · pith_short_16: LM2YXABGS5FY3GWD · pith_short_8: LM2YXABG

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/LM2YXABGS5FY3GWDE5VAJS2YCR \
  | 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: 5b358b8026974b8d9ac3276a04cb58144984aa831e6bec2c41ffc05609254cb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e31706bb67ff1f0e1b300cb61fb809faaba107ba01bfd24f401213ff54e212a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-03T16:07:03Z",
    "title_canon_sha256": "b403eda94f5d40fcf0016d5087df18f663456869a7572c1b1ff5a7c4058c7932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0725",
    "kind": "arxiv",
    "version": 1
  }
}