{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:A44DUVGUBA7YUOKA5EK7BYA3YL","short_pith_number":"pith:A44DUVGU","canonical_record":{"source":{"id":"1603.03606","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-11T12:12:58Z","cross_cats_sorted":[],"title_canon_sha256":"a25080d5f600f945d4e7e4f6fbbff50a06d37b80fc389dcb741ded446414640d","abstract_canon_sha256":"f0a4cf73c8d431858289fc2153d43b8b875c92e2d5d96ddf620a62ae33080a12"},"schema_version":"1.0"},"canonical_sha256":"07383a54d4083f8a3940e915f0e01bc2d961471dbad33fb7cd4c7ebeb2cb8b34","source":{"kind":"arxiv","id":"1603.03606","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03606","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03606v3","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03606","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"A44DUVGUBA7Y","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A44DUVGUBA7YUOKA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A44DUVGU","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:A44DUVGUBA7YUOKA5EK7BYA3YL","target":"record","payload":{"canonical_record":{"source":{"id":"1603.03606","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-11T12:12:58Z","cross_cats_sorted":[],"title_canon_sha256":"a25080d5f600f945d4e7e4f6fbbff50a06d37b80fc389dcb741ded446414640d","abstract_canon_sha256":"f0a4cf73c8d431858289fc2153d43b8b875c92e2d5d96ddf620a62ae33080a12"},"schema_version":"1.0"},"canonical_sha256":"07383a54d4083f8a3940e915f0e01bc2d961471dbad33fb7cd4c7ebeb2cb8b34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:43.105190Z","signature_b64":"7SligJVIb6kr7bzJsndYzXDkAk5N/8KNhIpdNBQzZ1sG9XQzJV8FNt/hYkY8XRPhej/298cUnSbTNT85OShoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07383a54d4083f8a3940e915f0e01bc2d961471dbad33fb7cd4c7ebeb2cb8b34","last_reissued_at":"2026-05-18T01:12:43.104801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:43.104801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.03606","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SaTzV52jYRbKf0NjQHgRtsflnQ5y/Bnr3i6tq0mQeZhfED2UjwkkYAfSdU7CTadB5G+/14G7/BZRd7V5tiZrBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:51:37.587244Z"},"content_sha256":"5c71084847e6914dcf73057beccc90c4c1dcb86886035476af0746233c0c7ae4","schema_version":"1.0","event_id":"sha256:5c71084847e6914dcf73057beccc90c4c1dcb86886035476af0746233c0c7ae4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:A44DUVGUBA7YUOKA5EK7BYA3YL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Movability and co-movability of shape morphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"I. Pop, P.S. Gevorgyan","submitted_at":"2016-03-11T12:12:58Z","abstract_excerpt":"The purpose of this paper is to define some notions of movability for morphisms of inverse systems which extend the movability properties of inverse systems and which are compatible with the equivalence relations which define pro-morphisms and shape morphisms. Some properties, examples and applications are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03606","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uvKd/TzKOMZy2Q/bkyPk9dWBby3tZnvoGPbHKsoXkXdc8Ya7prS1/41nGAznOFIk/vPnq+ve9SLIBnqYuRfBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T05:51:37.587598Z"},"content_sha256":"9383ca4818d16a63376effe3a3486d892a95da2f7437efa5b9b86fc303e18d7e","schema_version":"1.0","event_id":"sha256:9383ca4818d16a63376effe3a3486d892a95da2f7437efa5b9b86fc303e18d7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/bundle.json","state_url":"https://pith.science/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-26T05:51:37Z","links":{"resolver":"https://pith.science/pith/A44DUVGUBA7YUOKA5EK7BYA3YL","bundle":"https://pith.science/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/bundle.json","state":"https://pith.science/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A44DUVGUBA7YUOKA5EK7BYA3YL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A44DUVGUBA7YUOKA5EK7BYA3YL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f0a4cf73c8d431858289fc2153d43b8b875c92e2d5d96ddf620a62ae33080a12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-11T12:12:58Z","title_canon_sha256":"a25080d5f600f945d4e7e4f6fbbff50a06d37b80fc389dcb741ded446414640d"},"schema_version":"1.0","source":{"id":"1603.03606","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.03606","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1603.03606v3","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.03606","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"A44DUVGUBA7Y","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A44DUVGUBA7YUOKA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A44DUVGU","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:9383ca4818d16a63376effe3a3486d892a95da2f7437efa5b9b86fc303e18d7e","target":"graph","created_at":"2026-05-18T01:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The purpose of this paper is to define some notions of movability for morphisms of inverse systems which extend the movability properties of inverse systems and which are compatible with the equivalence relations which define pro-morphisms and shape morphisms. Some properties, examples and applications are given.","authors_text":"I. Pop, P.S. Gevorgyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-11T12:12:58Z","title":"Movability and co-movability of shape morphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.03606","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5c71084847e6914dcf73057beccc90c4c1dcb86886035476af0746233c0c7ae4","target":"record","created_at":"2026-05-18T01:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f0a4cf73c8d431858289fc2153d43b8b875c92e2d5d96ddf620a62ae33080a12","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-03-11T12:12:58Z","title_canon_sha256":"a25080d5f600f945d4e7e4f6fbbff50a06d37b80fc389dcb741ded446414640d"},"schema_version":"1.0","source":{"id":"1603.03606","kind":"arxiv","version":3}},"canonical_sha256":"07383a54d4083f8a3940e915f0e01bc2d961471dbad33fb7cd4c7ebeb2cb8b34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07383a54d4083f8a3940e915f0e01bc2d961471dbad33fb7cd4c7ebeb2cb8b34","first_computed_at":"2026-05-18T01:12:43.104801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:43.104801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7SligJVIb6kr7bzJsndYzXDkAk5N/8KNhIpdNBQzZ1sG9XQzJV8FNt/hYkY8XRPhej/298cUnSbTNT85OShoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:43.105190Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.03606","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c71084847e6914dcf73057beccc90c4c1dcb86886035476af0746233c0c7ae4","sha256:9383ca4818d16a63376effe3a3486d892a95da2f7437efa5b9b86fc303e18d7e"],"state_sha256":"2ce589bf8871b7e423b30776f905efeb2eaf5e341377ffc75091462e19d76fc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTZKNdJgARM49HM7u0e6xjFpTbh7hMaCGQ9PHnpFbpd1s/V8jkvQHl5+hOzZqkCnsjyhPdH1x7PPuw06bChiDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T05:51:37.589514Z","bundle_sha256":"3421246e1d3509cd25074119e36b5ab67249264cde5c04529a1bfce25a079802"}}