{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:FLFCK6X242LRHLXZSSF4L7KEG3","short_pith_number":"pith:FLFCK6X2","canonical_record":{"source":{"id":"1108.4955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-24T21:15:33Z","cross_cats_sorted":[],"title_canon_sha256":"5fe085ecb6cf34d4c6be15de7cebaab886884ada19ff5fb4edf2e0a5b8946ef5","abstract_canon_sha256":"4732ad08c1e61696e3a920679ca511c854a32ba8666ead70c41ad24f3eb1a2ed"},"schema_version":"1.0"},"canonical_sha256":"2aca257afae69713aef9948bc5fd4436d9bb5d4c4895b45575212ac5637423d8","source":{"kind":"arxiv","id":"1108.4955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4955","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4955v1","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4955","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"FLFCK6X242LR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FLFCK6X242LRHLXZ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FLFCK6X2","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:FLFCK6X242LRHLXZSSF4L7KEG3","target":"record","payload":{"canonical_record":{"source":{"id":"1108.4955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-24T21:15:33Z","cross_cats_sorted":[],"title_canon_sha256":"5fe085ecb6cf34d4c6be15de7cebaab886884ada19ff5fb4edf2e0a5b8946ef5","abstract_canon_sha256":"4732ad08c1e61696e3a920679ca511c854a32ba8666ead70c41ad24f3eb1a2ed"},"schema_version":"1.0"},"canonical_sha256":"2aca257afae69713aef9948bc5fd4436d9bb5d4c4895b45575212ac5637423d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:45.728122Z","signature_b64":"hZdMm2A/PNJiSFqsI5WbsC8sCS8U6Q0ZzAR+uotKYUH5E/qU1mUp2vEuT5La4W0h+a+lTbMVrn6yS5EKfm2CBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aca257afae69713aef9948bc5fd4436d9bb5d4c4895b45575212ac5637423d8","last_reissued_at":"2026-05-18T04:14:45.727589Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:45.727589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.4955","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OsFsONF72+MaI40XcbEmUxRQhIoDd+ASy/NAkx9s9Suwi1yqXToBpR/6VlCTxFH2jEGmXQ1poruEw8crDFjDBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:36:14.507363Z"},"content_sha256":"101490a37856db2082cfbd37dcfb4ce5347685c46b905d6aa2be7a402795ac7e","schema_version":"1.0","event_id":"sha256:101490a37856db2082cfbd37dcfb4ce5347685c46b905d6aa2be7a402795ac7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:FLFCK6X242LRHLXZSSF4L7KEG3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-homogeneous combinatorial manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Elias Gabriel Minian, Nicolas Ariel Capitelli","submitted_at":"2011-08-24T21:15:33Z","abstract_excerpt":"In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4955","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F8utmYZGCk0TWDQhsPFPByLj3lAa2ez6yLyYcbGNpiaMpwmLCi3F6qykSqQI3da3D0CVFhGFDMd9hW61qSiZAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:36:14.507704Z"},"content_sha256":"457ce69e1ded836d3d535bcec0d8db8d5c88012160887b2f2b8bf6bfb26d8f39","schema_version":"1.0","event_id":"sha256:457ce69e1ded836d3d535bcec0d8db8d5c88012160887b2f2b8bf6bfb26d8f39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLFCK6X242LRHLXZSSF4L7KEG3/bundle.json","state_url":"https://pith.science/pith/FLFCK6X242LRHLXZSSF4L7KEG3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLFCK6X242LRHLXZSSF4L7KEG3/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":"2026-07-04T06:36:14Z","links":{"resolver":"https://pith.science/pith/FLFCK6X242LRHLXZSSF4L7KEG3","bundle":"https://pith.science/pith/FLFCK6X242LRHLXZSSF4L7KEG3/bundle.json","state":"https://pith.science/pith/FLFCK6X242LRHLXZSSF4L7KEG3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLFCK6X242LRHLXZSSF4L7KEG3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FLFCK6X242LRHLXZSSF4L7KEG3","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":"4732ad08c1e61696e3a920679ca511c854a32ba8666ead70c41ad24f3eb1a2ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-24T21:15:33Z","title_canon_sha256":"5fe085ecb6cf34d4c6be15de7cebaab886884ada19ff5fb4edf2e0a5b8946ef5"},"schema_version":"1.0","source":{"id":"1108.4955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4955","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4955v1","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4955","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"FLFCK6X242LR","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FLFCK6X242LRHLXZ","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FLFCK6X2","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:457ce69e1ded836d3d535bcec0d8db8d5c88012160887b2f2b8bf6bfb26d8f39","target":"graph","created_at":"2026-05-18T04:14:45Z","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":"In this paper we extend the classical theory of combinatorial manifolds to the non-homogeneous setting. NH-manifolds are polyhedra which are locally like Euclidean spaces of varying dimensions. We show that many of the properties of classical manifolds remain valid in this wider context. NH-manifolds appear naturally when studying Pachner moves on (classical) manifolds. We introduce the notion of NH-factorization and prove that PL-homeomorphic manifolds are related by a finite sequence of NH-factorizations involving NH-manifolds.","authors_text":"Elias Gabriel Minian, Nicolas Ariel Capitelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-24T21:15:33Z","title":"Non-homogeneous combinatorial manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4955","kind":"arxiv","version":1},"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":"sha256:101490a37856db2082cfbd37dcfb4ce5347685c46b905d6aa2be7a402795ac7e","target":"record","created_at":"2026-05-18T04:14:45Z","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":"4732ad08c1e61696e3a920679ca511c854a32ba8666ead70c41ad24f3eb1a2ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-08-24T21:15:33Z","title_canon_sha256":"5fe085ecb6cf34d4c6be15de7cebaab886884ada19ff5fb4edf2e0a5b8946ef5"},"schema_version":"1.0","source":{"id":"1108.4955","kind":"arxiv","version":1}},"canonical_sha256":"2aca257afae69713aef9948bc5fd4436d9bb5d4c4895b45575212ac5637423d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aca257afae69713aef9948bc5fd4436d9bb5d4c4895b45575212ac5637423d8","first_computed_at":"2026-05-18T04:14:45.727589Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:45.727589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hZdMm2A/PNJiSFqsI5WbsC8sCS8U6Q0ZzAR+uotKYUH5E/qU1mUp2vEuT5La4W0h+a+lTbMVrn6yS5EKfm2CBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:45.728122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:101490a37856db2082cfbd37dcfb4ce5347685c46b905d6aa2be7a402795ac7e","sha256:457ce69e1ded836d3d535bcec0d8db8d5c88012160887b2f2b8bf6bfb26d8f39"],"state_sha256":"5d5898b6ba4526cfc22bec280b518d727d1ac7e10f453c7297d1c990ddcb2180"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwwZ8SNOKXYmcLUtfTiGI6RnJ3pBMV290rH0SsFA0+gEfHxXjV938KZdLOcPW3T1TI+FyPjTCGD07PahSr10BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T06:36:14.509913Z","bundle_sha256":"6a08746ef23015b882d99019bd20f6404bc121d5cbdbc16457bb1bd8a771125e"}}