Pith Number

pith:LJQDUW6D

pith:2016:LJQDUW6DYQRNS4GJ27ND2KUS5G

not attested not anchored not stored refs pending

On classifying spaces for the family of virtually cyclic subgroups in mapping class groups

Alejandra Trujillo-Negrete, Daniel Juan-Pineda

arxiv:1606.00306 v3 · 2016-06-01 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJQDUW6DYQRNS4GJ27ND2KUS5G}

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	2026-05-17T23:54:41.987978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a603a5bc3c422d970c9d7da3d2a92e9bb8dab8fe14da4a59726d018de5f1339

Aliases

arxiv: 1606.00306 · arxiv_version: 1606.00306v3 · doi: 10.48550/arxiv.1606.00306 · pith_short_12: LJQDUW6DYQRN · pith_short_16: LJQDUW6DYQRNS4GJ · pith_short_8: LJQDUW6D

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/LJQDUW6DYQRNS4GJ27ND2KUS5G \
  | 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: 5a603a5bc3c422d970c9d7da3d2a92e9bb8dab8fe14da4a59726d018de5f1339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371051dde910e79dca990e7aa8199e5faa1bcc813ed5701357be7a347ebf8a15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-06-01T14:33:34Z",
    "title_canon_sha256": "d8abb55a99d1ad262f004078174392a680fd38e5e2960382ac30b4436b732f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00306",
    "kind": "arxiv",
    "version": 3
  }
}