Pith Number

pith:4HBHJK4O

pith:2011:4HBHJK4OL7E362ZJMUEVGVHWRS

not attested not anchored not stored refs pending

A Juzvinski\u{\i} Addition Theorem for Finitely Generated Free Groups Actions

Lewis Bowen, Yonatan Gutman

arxiv:1110.5029 v3 · 2011-10-23 · 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{4HBHJK4OL7E362ZJMUEVGVHWRS}

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	2026-05-18T03:49:11.907654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c274ab8e5fc9bf6b2965095354f68c86320b392724c74f776c903dca4c9e89

Aliases

arxiv: 1110.5029 · arxiv_version: 1110.5029v3 · doi: 10.48550/arxiv.1110.5029 · pith_short_12: 4HBHJK4OL7E3 · pith_short_16: 4HBHJK4OL7E362ZJ · pith_short_8: 4HBHJK4O

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/4HBHJK4OL7E362ZJMUEVGVHWRS \
  | 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: e1c274ab8e5fc9bf6b2965095354f68c86320b392724c74f776c903dca4c9e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32bc99b3cd19e0a20356285dc0edb66ff8c687a9a60f30d44964883771d91e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-23T09:40:17Z",
    "title_canon_sha256": "67b692c8d173829255367f357a9dda2f90fd9fedf54d1540f096d7f579d2f79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5029",
    "kind": "arxiv",
    "version": 3
  }
}