Pith Number

pith:RWZRVDAB

pith:2010:RWZRVDAB4WJIVE45RLR3BBYIFY

not attested not anchored not stored refs pending

Completely Metrisable Groups Acting on Trees

Christian Rosendal

arxiv:1009.6208 v1 · 2010-09-30 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWZRVDAB4WJIVE45RLR3BBYIFY}

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	2026-05-18T04:40:00.895732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db31a8c01e5928a939d8ae3b087082e14149b9467de52e8ec6b64200eb05c88

Aliases

arxiv: 1009.6208 · arxiv_version: 1009.6208v1 · doi: 10.48550/arxiv.1009.6208 · pith_short_12: RWZRVDAB4WJI · pith_short_16: RWZRVDAB4WJIVE45 · pith_short_8: RWZRVDAB

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/RWZRVDAB4WJIVE45RLR3BBYIFY \
  | 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: 8db31a8c01e5928a939d8ae3b087082e14149b9467de52e8ec6b64200eb05c88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2332ff15b1835a820e003724e49adf1bccdeda670b0278d437918ad1ab246bd8",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-30T17:53:33Z",
    "title_canon_sha256": "b9a7544c1b898d983c5d4cac946e91659f261cc4775be9b1d4888c4d3fffcde4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.6208",
    "kind": "arxiv",
    "version": 1
  }
}