Pith Number

pith:STSZG2HW

pith:2012:STSZG2HWJO2NBWTZTQ4KXL7UID

not attested not anchored not stored refs pending

Constructing and Classifying Fully Irreducible Outer Automorphisms of Free Groups

Catherine Pfaff

arxiv:1205.5320 v1 · 2012-05-24 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{STSZG2HWJO2NBWTZTQ4KXL7UID}

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	2026-05-18T02:21:09.816692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94e59368f64bb4d0da799c38abaff440e31b553e9683a4690b664d113c2e2789

Aliases

arxiv: 1205.5320 · arxiv_version: 1205.5320v1 · doi: 10.48550/arxiv.1205.5320 · pith_short_12: STSZG2HWJO2N · pith_short_16: STSZG2HWJO2NBWTZ · pith_short_8: STSZG2HW

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/STSZG2HWJO2NBWTZTQ4KXL7UID \
  | 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: 94e59368f64bb4d0da799c38abaff440e31b553e9683a4690b664d113c2e2789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ec33eb151ee15c30ea983671afec823f61dba29f3a73c2a9f96c4fb321706b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-24T02:30:14Z",
    "title_canon_sha256": "02b9b3005230ab9a936037e49f83374ed8177e51f3558f154553dcb439d2760e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5320",
    "kind": "arxiv",
    "version": 1
  }
}