Pith Number

pith:JXVKTM6X

pith:2003:JXVKTM6X4SBSGB5H6HVFU7QFYD

not attested not anchored not stored refs pending

Limit groups and groups acting freely on R^n-trees

Vincent Guirardel

arxiv:math/0306306 v5 · 2003-06-20 · math.GR · math.GT · 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{JXVKTM6X4SBSGB5H6HVFU7QFYD}

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	2026-05-18T02:38:00.317708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4deaa9b3d7e4832307a7f1ea5a7e05c0dd1658cc10ed0c9fe0fb69a19953f604

Aliases

arxiv: math/0306306 · arxiv_version: math/0306306v5 · doi: 10.48550/arxiv.math/0306306 · pith_short_12: JXVKTM6X4SBS · pith_short_16: JXVKTM6X4SBSGB5H · pith_short_8: JXVKTM6X

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/JXVKTM6X4SBSGB5H6HVFU7QFYD \
  | 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: 4deaa9b3d7e4832307a7f1ea5a7e05c0dd1658cc10ed0c9fe0fb69a19953f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007c751217c196dd27acf24eecf341cceda1ab4e65cf220ee5c163f533533041",
    "cross_cats_sorted": [
      "math.GT",
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-06-20T09:54:21Z",
    "title_canon_sha256": "98934885e6a85c3b9bf24ebccfba777a91caacedd46e9752ccb1ba00c19f4df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306306",
    "kind": "arxiv",
    "version": 5
  }
}