Pith Number

pith:HMPNLAXN

pith:2011:HMPNLAXNXAA5HXDEROGK4NZY6H

not attested not anchored not stored refs pending

Asymptotically rigid mapping class groups and Thompson's groups

Christophe Kapoudjian, Louis Funar, Vlad Sergiescu

arxiv:1105.0559 v1 · 2011-05-03 · 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{HMPNLAXNXAA5HXDEROGK4NZY6H}

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	2026-05-18T03:09:20.473738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1ed582edb801d3dc648b8cae3738f1eaa0724430108a77f098f192744bcfe0

Aliases

arxiv: 1105.0559 · arxiv_version: 1105.0559v1 · doi: 10.48550/arxiv.1105.0559 · pith_short_12: HMPNLAXNXAA5 · pith_short_16: HMPNLAXNXAA5HXDE · pith_short_8: HMPNLAXN

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/HMPNLAXNXAA5HXDEROGK4NZY6H \
  | 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: 3b1ed582edb801d3dc648b8cae3738f1eaa0724430108a77f098f192744bcfe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d390e2499f93c4db093e4009f90c697a66ef9de851c2b3d5fd60574c80245149",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-05-03T11:44:26Z",
    "title_canon_sha256": "81ca879a1ff68856da9d8e91f58d1f591847159eb8e6ab826133804d134b645c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0559",
    "kind": "arxiv",
    "version": 1
  }
}