{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7IRJ64Q3JCZRXX6XP4USWDLCTK","short_pith_number":"pith:7IRJ64Q3","schema_version":"1.0","canonical_sha256":"fa229f721b48b31bdfd77f292b0d629a91d7deb18c46e3f30fbdb6c55e4dad44","source":{"kind":"arxiv","id":"1406.2166","version":1},"attestation_state":"computed","paper":{"title":"Configurations of points on degenerate varieties and properness of moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Barbara Fantechi, Dan Abramovich","submitted_at":"2014-06-09T13:09:19Z","abstract_excerpt":"Consider a smooth variety $X$ and a smooth divisor $D\\subset X$. Kim and Sato (arXiv:0806.3819) define a natural compactification of $(X\\setminus D)^n$, denoted $X_D^{[n]}$, which is a moduli space of stable configurations of $n$ points lying on expansions of $(X,D)$ in the sense of Jun Li (arXiv:math/0009097, arXiv:math/0110113).\n  The purpose of this note is to generalize Kim and Sato's construction to the case where $X$ is an algebraic stack; and to construct an analogous projective moduli space $W_\\pi^{[n]}$ for a degeneration $\\pi:W \\to B$. We construct $X^n_D$ and $W_\\pi^{[n]}$ and prove"},"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":"1406.2166","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-09T13:09:19Z","cross_cats_sorted":[],"title_canon_sha256":"a808b792ac6d97f73be3729b2122993750b9793f3f09361a2375879e311d6380","abstract_canon_sha256":"277afb411543e62b6dc39bdaf8f690f8a28067652aacc0ec948dd2667f2c57bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:11.399228Z","signature_b64":"zocoS20WMv1yvWNyZ7YEh0AOEzCnPIEdJJ9lJv4HnSbPmQgnFry58ckdTTzEtUU/NaMUiazXpYVMB18rAfh/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa229f721b48b31bdfd77f292b0d629a91d7deb18c46e3f30fbdb6c55e4dad44","last_reissued_at":"2026-05-18T02:50:11.398542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:11.398542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Configurations of points on degenerate varieties and properness of moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Barbara Fantechi, Dan Abramovich","submitted_at":"2014-06-09T13:09:19Z","abstract_excerpt":"Consider a smooth variety $X$ and a smooth divisor $D\\subset X$. Kim and Sato (arXiv:0806.3819) define a natural compactification of $(X\\setminus D)^n$, denoted $X_D^{[n]}$, which is a moduli space of stable configurations of $n$ points lying on expansions of $(X,D)$ in the sense of Jun Li (arXiv:math/0009097, arXiv:math/0110113).\n  The purpose of this note is to generalize Kim and Sato's construction to the case where $X$ is an algebraic stack; and to construct an analogous projective moduli space $W_\\pi^{[n]}$ for a degeneration $\\pi:W \\to B$. We construct $X^n_D$ and $W_\\pi^{[n]}$ and prove"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2166","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":"1406.2166","created_at":"2026-05-18T02:50:11.398667+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2166v1","created_at":"2026-05-18T02:50:11.398667+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2166","created_at":"2026-05-18T02:50:11.398667+00:00"},{"alias_kind":"pith_short_12","alias_value":"7IRJ64Q3JCZR","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7IRJ64Q3JCZRXX6X","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7IRJ64Q3","created_at":"2026-05-18T12:28:19.803747+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/7IRJ64Q3JCZRXX6XP4USWDLCTK","json":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK.json","graph_json":"https://pith.science/api/pith-number/7IRJ64Q3JCZRXX6XP4USWDLCTK/graph.json","events_json":"https://pith.science/api/pith-number/7IRJ64Q3JCZRXX6XP4USWDLCTK/events.json","paper":"https://pith.science/paper/7IRJ64Q3"},"agent_actions":{"view_html":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK","download_json":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK.json","view_paper":"https://pith.science/paper/7IRJ64Q3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2166&json=true","fetch_graph":"https://pith.science/api/pith-number/7IRJ64Q3JCZRXX6XP4USWDLCTK/graph.json","fetch_events":"https://pith.science/api/pith-number/7IRJ64Q3JCZRXX6XP4USWDLCTK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK/action/storage_attestation","attest_author":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK/action/author_attestation","sign_citation":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK/action/citation_signature","submit_replication":"https://pith.science/pith/7IRJ64Q3JCZRXX6XP4USWDLCTK/action/replication_record"}},"created_at":"2026-05-18T02:50:11.398667+00:00","updated_at":"2026-05-18T02:50:11.398667+00:00"}