Pith Number

pith:QCAXUKU4

pith:2018:QCAXUKU4GQABGOHCFOTY2A7VQY

not attested not anchored not stored refs pending

Displacements of automorphisms of free groups II: Connectivity of level sets and decision problems

Armando Martino, Stefano Francaviglia

arxiv:1807.02782 v2 · 2018-07-08 · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCAXUKU4GQABGOHCFOTY2A7VQY}

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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.

Cited by

1 paper in Pith

The minimally displaced set of an irreducible automorphism is locally finite

Receipt and verification

First computed	2026-07-05T03:02:35.947960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80817a2a9c34001338e22ba78d03f586018003ae4c3b7aa3abe17f913d37d36d

Aliases

arxiv: 1807.02782 · arxiv_version: 1807.02782v2 · doi: 10.48550/arxiv.1807.02782 · pith_short_12: QCAXUKU4GQAB · pith_short_16: QCAXUKU4GQABGOHC · pith_short_8: QCAXUKU4

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/QCAXUKU4GQABGOHCFOTY2A7VQY \
  | 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: 80817a2a9c34001338e22ba78d03f586018003ae4c3b7aa3abe17f913d37d36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4679774bd62372b8fed75d5cb764c72a79efb1ef741974bea869a9f8bb3a1cf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-08T08:48:05Z",
    "title_canon_sha256": "7fe7399e670cc169d097462f32820473424a38291e5ecfe9bf49b6b13e3595c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02782",
    "kind": "arxiv",
    "version": 2
  }
}