{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:BH66ZPB7NMZJG5UQVBQSIKX25J","short_pith_number":"pith:BH66ZPB7","schema_version":"1.0","canonical_sha256":"09fdecbc3f6b32937690a861242afaea4c49c35df6e679d902b5cb0299da7ece","source":{"kind":"arxiv","id":"1511.07088","version":1},"attestation_state":"computed","paper":{"title":"Groups of PL-homeomorphisms admitting non-trivial invariant characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Daciberg L. Gon\\c{c}alves, Parameswaran Sankaran, Ralph Strebel","submitted_at":"2015-11-23T00:09:46Z","abstract_excerpt":"We show that several classes of groups G of PL-homeomorphisms of the real line admit non-trivial homomorphisms from G to the additive group of reals that are fixed by every automorphism of G. The classes of groups enjoying the stated property include the generalisations of Thompson's group F studied by K. S. Brown, M. Stein, S. Cleary, and Bieri-Strebel but also the class of groups investigated by Bieri-Neumann-Strebel in [BNS87, Theorem 8.1]. It follows that every automorphism of a group in one of these classes has infinitely many associated twisted conjugacy classes."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.07088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2015-11-23T00:09:46Z","cross_cats_sorted":[],"title_canon_sha256":"0236ad8fbd32125d8e622da8c51c29a52053127a680b90a65169037c2889f98e","abstract_canon_sha256":"d7643633b3cda9bd796393ccd1416773bfee69bf59e6ca1e1bdd848733993522"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:33.023844Z","signature_b64":"ezmIL/3KSecqPDxEbSNVUIKLjzpbV7Hmihhr9DK5Upgt4IHPBbWcOHpBZ+M11LHROBJ/oZ2KVedzNGrqrSqdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09fdecbc3f6b32937690a861242afaea4c49c35df6e679d902b5cb0299da7ece","last_reissued_at":"2026-05-18T01:16:33.023232Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:33.023232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Groups of PL-homeomorphisms admitting non-trivial invariant characters","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Daciberg L. Gon\\c{c}alves, Parameswaran Sankaran, Ralph Strebel","submitted_at":"2015-11-23T00:09:46Z","abstract_excerpt":"We show that several classes of groups G of PL-homeomorphisms of the real line admit non-trivial homomorphisms from G to the additive group of reals that are fixed by every automorphism of G. The classes of groups enjoying the stated property include the generalisations of Thompson's group F studied by K. S. Brown, M. Stein, S. Cleary, and Bieri-Strebel but also the class of groups investigated by Bieri-Neumann-Strebel in [BNS87, Theorem 8.1]. It follows that every automorphism of a group in one of these classes has infinitely many associated twisted conjugacy classes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.07088","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.07088","created_at":"2026-05-18T01:16:33.023305+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.07088v1","created_at":"2026-05-18T01:16:33.023305+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.07088","created_at":"2026-05-18T01:16:33.023305+00:00"},{"alias_kind":"pith_short_12","alias_value":"BH66ZPB7NMZJ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BH66ZPB7NMZJG5UQ","created_at":"2026-05-18T12:29:14.074870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BH66ZPB7","created_at":"2026-05-18T12:29:14.074870+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J","json":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J.json","graph_json":"https://pith.science/api/pith-number/BH66ZPB7NMZJG5UQVBQSIKX25J/graph.json","events_json":"https://pith.science/api/pith-number/BH66ZPB7NMZJG5UQVBQSIKX25J/events.json","paper":"https://pith.science/paper/BH66ZPB7"},"agent_actions":{"view_html":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J","download_json":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J.json","view_paper":"https://pith.science/paper/BH66ZPB7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.07088&json=true","fetch_graph":"https://pith.science/api/pith-number/BH66ZPB7NMZJG5UQVBQSIKX25J/graph.json","fetch_events":"https://pith.science/api/pith-number/BH66ZPB7NMZJG5UQVBQSIKX25J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J/action/storage_attestation","attest_author":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J/action/author_attestation","sign_citation":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J/action/citation_signature","submit_replication":"https://pith.science/pith/BH66ZPB7NMZJG5UQVBQSIKX25J/action/replication_record"}},"created_at":"2026-05-18T01:16:33.023305+00:00","updated_at":"2026-05-18T01:16:33.023305+00:00"}