Pith Number

pith:WNP55PLC

pith:2009:WNP55PLCO336VDNACMV2VLRBDA

not attested not anchored not stored refs pending

Structure theorems for subgroups of homeomorphisms groups

Collin Bleak, Francesco Matucci, Martin Kassabov

arxiv:0910.0218 v4 · 2009-10-01 · math.GR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNP55PLCO336VDNACMV2VLRBDA}

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	2026-05-18T04:21:53.163792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b35fdebd6276f7ea8da0132baaae211822a0f483582870be520d339672ab5ec8

Aliases

arxiv: 0910.0218 · arxiv_version: 0910.0218v4 · doi: 10.48550/arxiv.0910.0218 · pith_short_12: WNP55PLCO336 · pith_short_16: WNP55PLCO336VDNA · pith_short_8: WNP55PLC

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/WNP55PLCO336VDNACMV2VLRBDA \
  | 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: b35fdebd6276f7ea8da0132baaae211822a0f483582870be520d339672ab5ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaf0bf293e428af22b25621b1ee77121babb9a345a3c2a7b4c53bf612df14a3f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-01T17:05:36Z",
    "title_canon_sha256": "73244ba67a2d771b5a637f8b0d3a2e6859d0d7e727f615e8f42057faee653deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0218",
    "kind": "arxiv",
    "version": 4
  }
}