Pith Number

pith:KHIMZR7E

pith:2009:KHIMZR7EI4K4P5JSUQB5FA4HZF

not attested not anchored not stored refs pending

Stabilizers of $\mathbb R$-trees with free isometric actions of $F_N$

Ilya Kapovich, Martin Lustig

arxiv:0904.1881 v3 · 2009-04-12 · 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{KHIMZR7EI4K4P5JSUQB5FA4HZF}

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	2026-05-18T03:39:29.698423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51d0ccc7e44715c7f532a403d28387c962a661f6b96bd2639a82c616b520fb82

Aliases

arxiv: 0904.1881 · arxiv_version: 0904.1881v3 · doi: 10.48550/arxiv.0904.1881 · pith_short_12: KHIMZR7EI4K4 · pith_short_16: KHIMZR7EI4K4P5JS · pith_short_8: KHIMZR7E

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/KHIMZR7EI4K4P5JSUQB5FA4HZF \
  | 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: 51d0ccc7e44715c7f532a403d28387c962a661f6b96bd2639a82c616b520fb82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "230f6e552c60361f46f63a889f8e475b1d42c1f359629b45e57de973c0f0ec5b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-04-12T19:27:23Z",
    "title_canon_sha256": "f74c7cd07c2444fd2489fe561841bdca7bac32073d99735c1a8fc85a5c453cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1881",
    "kind": "arxiv",
    "version": 3
  }
}