{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IAKR42Q7MYZABF2WYSS3XVV2G4","short_pith_number":"pith:IAKR42Q7","canonical_record":{"source":{"id":"1908.09342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-25T14:57:18Z","cross_cats_sorted":[],"title_canon_sha256":"485e9c65160bb09f294fc044800cf90a118f4809cde0dce2ea36c65b8343f65f","abstract_canon_sha256":"e0306d6249e672f48ff12b102925c415e1dfc3476da3587fcfe59ed3d59283d7"},"schema_version":"1.0"},"canonical_sha256":"40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1","source":{"kind":"arxiv","id":"1908.09342","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09342","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09342v1","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09342","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"IAKR42Q7MYZA","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_16","alias_value":"IAKR42Q7MYZABF2W","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_8","alias_value":"IAKR42Q7","created_at":"2026-07-04T23:59:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IAKR42Q7MYZABF2WYSS3XVV2G4","target":"record","payload":{"canonical_record":{"source":{"id":"1908.09342","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-25T14:57:18Z","cross_cats_sorted":[],"title_canon_sha256":"485e9c65160bb09f294fc044800cf90a118f4809cde0dce2ea36c65b8343f65f","abstract_canon_sha256":"e0306d6249e672f48ff12b102925c415e1dfc3476da3587fcfe59ed3d59283d7"},"schema_version":"1.0"},"canonical_sha256":"40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:59:39.271896Z","signature_b64":"8dst4i28/M1HbOTTh7fo5nfA6ZdpYfXTxANYEe0gHtWjmmjU8HifJHoE/nTxufJkyeRl5pvvT5nN55uWuu8+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1","last_reissued_at":"2026-07-04T23:59:39.271541Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:59:39.271541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.09342","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":"2026-07-04T23:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A1wyKZ+139n6Ri5h+IIt87kSYSdhniv/BTnMptVvJkWbXRF/R1j8FgfKHw4FMMPWmvTUFVtAWPiIt6EwsDHdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:08:45.398545Z"},"content_sha256":"be8384eb57edb5d4e453bc36f9c626139d79c8df36a6273ec9644ec251e9e053","schema_version":"1.0","event_id":"sha256:be8384eb57edb5d4e453bc36f9c626139d79c8df36a6273ec9644ec251e9e053"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IAKR42Q7MYZABF2WYSS3XVV2G4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Peripheral convex expansions of resonance graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Zhongyuan Che","submitted_at":"2019-08-25T14:57:18Z","abstract_excerpt":"In this paper, we show that the resonance graph of a plane elementary bipartite graph $G$ can be obtained from an edge by a sequence of peripheral convex expansions with respect to a reducible face decomposition of $G$ if and only if the infinite face of $G$ is forcing."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09342","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.09342/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T23:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tfuiWgPPe3bxSze2gt47YBwC8tJoem5foc6rNz+kBRO+WVmC42MXRF02ZIzxbkY0lVtQcKgrJUVK5yDW1DEtDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:08:45.399040Z"},"content_sha256":"ad652563758d1f12e1d3f2897d9155f75b5fe3893f292d0a4163fdfe867db7e1","schema_version":"1.0","event_id":"sha256:ad652563758d1f12e1d3f2897d9155f75b5fe3893f292d0a4163fdfe867db7e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/bundle.json","state_url":"https://pith.science/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/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":"2026-08-16T13:08:45Z","links":{"resolver":"https://pith.science/pith/IAKR42Q7MYZABF2WYSS3XVV2G4","bundle":"https://pith.science/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/bundle.json","state":"https://pith.science/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAKR42Q7MYZABF2WYSS3XVV2G4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IAKR42Q7MYZABF2WYSS3XVV2G4","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":"e0306d6249e672f48ff12b102925c415e1dfc3476da3587fcfe59ed3d59283d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-25T14:57:18Z","title_canon_sha256":"485e9c65160bb09f294fc044800cf90a118f4809cde0dce2ea36c65b8343f65f"},"schema_version":"1.0","source":{"id":"1908.09342","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.09342","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"1908.09342v1","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.09342","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"IAKR42Q7MYZA","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_16","alias_value":"IAKR42Q7MYZABF2W","created_at":"2026-07-04T23:59:39Z"},{"alias_kind":"pith_short_8","alias_value":"IAKR42Q7","created_at":"2026-07-04T23:59:39Z"}],"graph_snapshots":[{"event_id":"sha256:ad652563758d1f12e1d3f2897d9155f75b5fe3893f292d0a4163fdfe867db7e1","target":"graph","created_at":"2026-07-04T23:59:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.09342/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we show that the resonance graph of a plane elementary bipartite graph $G$ can be obtained from an edge by a sequence of peripheral convex expansions with respect to a reducible face decomposition of $G$ if and only if the infinite face of $G$ is forcing.","authors_text":"Zhongyuan Che","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-25T14:57:18Z","title":"Peripheral convex expansions of resonance graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.09342","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:be8384eb57edb5d4e453bc36f9c626139d79c8df36a6273ec9644ec251e9e053","target":"record","created_at":"2026-07-04T23:59:39Z","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":"e0306d6249e672f48ff12b102925c415e1dfc3476da3587fcfe59ed3d59283d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-08-25T14:57:18Z","title_canon_sha256":"485e9c65160bb09f294fc044800cf90a118f4809cde0dce2ea36c65b8343f65f"},"schema_version":"1.0","source":{"id":"1908.09342","kind":"arxiv","version":1}},"canonical_sha256":"40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40151e6a1f6632009756c4a5bbd6ba373f959bfeb7383830a6f7ebd0eea4c6b1","first_computed_at":"2026-07-04T23:59:39.271541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:59:39.271541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8dst4i28/M1HbOTTh7fo5nfA6ZdpYfXTxANYEe0gHtWjmmjU8HifJHoE/nTxufJkyeRl5pvvT5nN55uWuu8+CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:59:39.271896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.09342","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be8384eb57edb5d4e453bc36f9c626139d79c8df36a6273ec9644ec251e9e053","sha256:ad652563758d1f12e1d3f2897d9155f75b5fe3893f292d0a4163fdfe867db7e1"],"state_sha256":"b94d147022417609def4173594f7a701d103bd5b491e46810ae97df0d48684c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J0FErLPvVeeyC2qwxXq9pezHJVLtZvM37YyM4xs9k9rwS5AROJrGr2xf63FTRURg7bVwRXvgLBruid2TdAQLCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T13:08:45.402638Z","bundle_sha256":"db3097c5ec3d7640cd9d9bbb541810550aaf9c6be74f69a294281792d8d5952e"}}