Pith Number

pith:BH66ZPB7

pith:2015:BH66ZPB7NMZJG5UQVBQSIKX25J

not attested not anchored not stored refs pending

Groups of PL-homeomorphisms admitting non-trivial invariant characters

Daciberg L. Gon\c{c}alves, Parameswaran Sankaran, Ralph Strebel

arxiv:1511.07088 v1 · 2015-11-23 · 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{BH66ZPB7NMZJG5UQVBQSIKX25J}

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	2026-05-18T01:16:33.023232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09fdecbc3f6b32937690a861242afaea4c49c35df6e679d902b5cb0299da7ece

Aliases

arxiv: 1511.07088 · arxiv_version: 1511.07088v1 · doi: 10.48550/arxiv.1511.07088 · pith_short_12: BH66ZPB7NMZJ · pith_short_16: BH66ZPB7NMZJG5UQ · pith_short_8: BH66ZPB7

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/BH66ZPB7NMZJG5UQVBQSIKX25J \
  | 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: 09fdecbc3f6b32937690a861242afaea4c49c35df6e679d902b5cb0299da7ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7643633b3cda9bd796393ccd1416773bfee69bf59e6ca1e1bdd848733993522",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-23T00:09:46Z",
    "title_canon_sha256": "0236ad8fbd32125d8e622da8c51c29a52053127a680b90a65169037c2889f98e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07088",
    "kind": "arxiv",
    "version": 1
  }
}