Pith Number

pith:KHJS4L2R

pith:2014:KHJS4L2RQHBWERSOUOJNLOS33I

not attested not anchored not stored refs pending

Burnside problem for groups of homeomorphisms of compact surfaces

Isabelle Liousse, Nancy Guelman

arxiv:1404.1224 v2 · 2014-04-04 · math.DS · 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{KHJS4L2RQHBWERSOUOJNLOS33I}

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	2026-05-18T02:37:53.959416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d32e2f5181c362464ea392d5ba5bda0139ec65bd8a66f7aaf01bdbe3e47079

Aliases

arxiv: 1404.1224 · arxiv_version: 1404.1224v2 · doi: 10.48550/arxiv.1404.1224 · pith_short_12: KHJS4L2RQHBW · pith_short_16: KHJS4L2RQHBWERSO · pith_short_8: KHJS4L2R

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/KHJS4L2RQHBWERSOUOJNLOS33I \
  | 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: 51d32e2f5181c362464ea392d5ba5bda0139ec65bd8a66f7aaf01bdbe3e47079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8898eeddf3bc20a874327c99eec47316d1a0d26dee307f3dd93e7a32d7aa0d0c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-04T11:54:57Z",
    "title_canon_sha256": "1f99e46cc520d95673a472257d0382124880239f572140813b16f5f64a195e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1224",
    "kind": "arxiv",
    "version": 2
  }
}