{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:K4NARZNHUGEK7AWALYDZRHH2HS","short_pith_number":"pith:K4NARZNH","canonical_record":{"source":{"id":"1502.01036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-03T21:22:36Z","cross_cats_sorted":[],"title_canon_sha256":"2fc29135d63855dd1b3fca4b1f40c271346c09ec9a60ded7242310b3640a4265","abstract_canon_sha256":"ef03dc77649573db5ef4cd3398a2bb2abea7eae0c80bac75324e33b075dd9146"},"schema_version":"1.0"},"canonical_sha256":"571a08e5a7a188af82c05e07989cfa3cb83a59b672c4e82446ae818b31519519","source":{"kind":"arxiv","id":"1502.01036","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01036","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01036v1","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01036","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"K4NARZNHUGEK","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K4NARZNHUGEK7AWA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K4NARZNH","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:K4NARZNHUGEK7AWALYDZRHH2HS","target":"record","payload":{"canonical_record":{"source":{"id":"1502.01036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-03T21:22:36Z","cross_cats_sorted":[],"title_canon_sha256":"2fc29135d63855dd1b3fca4b1f40c271346c09ec9a60ded7242310b3640a4265","abstract_canon_sha256":"ef03dc77649573db5ef4cd3398a2bb2abea7eae0c80bac75324e33b075dd9146"},"schema_version":"1.0"},"canonical_sha256":"571a08e5a7a188af82c05e07989cfa3cb83a59b672c4e82446ae818b31519519","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:58.184114Z","signature_b64":"bAyAtOitLFcxibcHgeQf0KNxBmlWBrk43+npGpsPyJA0A2DkWgqCGEH6MzyfWKv5gWIp+0GZ4TQoFYbcxAGrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"571a08e5a7a188af82c05e07989cfa3cb83a59b672c4e82446ae818b31519519","last_reissued_at":"2026-05-18T02:27:58.183420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:58.183420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.01036","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":"2026-05-18T02:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zw8nEsERVpAe6DfPgc+UWMWKJ6jAWSrsYW17xyrpzLQutXfeirL5pnPXWsM09Vk/QYlNXI9c96iMWRr5v9jMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:13:26.320219Z"},"content_sha256":"88efd1168f770885ddcb4cdb87fa33c6632b283947d82884483b4ae5827cdc0c","schema_version":"1.0","event_id":"sha256:88efd1168f770885ddcb4cdb87fa33c6632b283947d82884483b4ae5827cdc0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:K4NARZNHUGEK7AWALYDZRHH2HS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The distance from a point to its opposite along the surface of a box","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Edward F. Schaefer, S. Michael Miller","submitted_at":"2015-02-03T21:22:36Z","abstract_excerpt":"Given a point (the \"spider\") on a rectangular box, we would like to find the minimal distance along the surface to its opposite point (the \"fly\" - the reflection of the spider across the center of the box). Without loss of generality, we can assume that the box has dimensions $1\\times a\\times b$ with the spider on one of the $1\\times a$ faces (with $a\\leq 1$). The shortest path between the points is always a line segment for some planar flattening of the box by cutting along edges. We then partition the $1\\times a$ face into regions, depending on which faces this path traverses. This choice of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01036","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":"2026-05-18T02:27:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"woW2BeI8Q2fO8Z9Kq+bMJPfsXncfzRap8HfVgY53el7lfJFTNMZJCOAoFZL+6bd+kUmIhYezWBq864/YEz8nDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:13:26.320584Z"},"content_sha256":"1d1cc2e16a56bd948ee28d0c5e56c2612e5bddbd93c883b6be9089719ee211e1","schema_version":"1.0","event_id":"sha256:1d1cc2e16a56bd948ee28d0c5e56c2612e5bddbd93c883b6be9089719ee211e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K4NARZNHUGEK7AWALYDZRHH2HS/bundle.json","state_url":"https://pith.science/pith/K4NARZNHUGEK7AWALYDZRHH2HS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K4NARZNHUGEK7AWALYDZRHH2HS/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":"2026-06-22T11:13:26Z","links":{"resolver":"https://pith.science/pith/K4NARZNHUGEK7AWALYDZRHH2HS","bundle":"https://pith.science/pith/K4NARZNHUGEK7AWALYDZRHH2HS/bundle.json","state":"https://pith.science/pith/K4NARZNHUGEK7AWALYDZRHH2HS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K4NARZNHUGEK7AWALYDZRHH2HS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K4NARZNHUGEK7AWALYDZRHH2HS","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":"ef03dc77649573db5ef4cd3398a2bb2abea7eae0c80bac75324e33b075dd9146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-03T21:22:36Z","title_canon_sha256":"2fc29135d63855dd1b3fca4b1f40c271346c09ec9a60ded7242310b3640a4265"},"schema_version":"1.0","source":{"id":"1502.01036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01036","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01036v1","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01036","created_at":"2026-05-18T02:27:58Z"},{"alias_kind":"pith_short_12","alias_value":"K4NARZNHUGEK","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K4NARZNHUGEK7AWA","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K4NARZNH","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:1d1cc2e16a56bd948ee28d0c5e56c2612e5bddbd93c883b6be9089719ee211e1","target":"graph","created_at":"2026-05-18T02:27:58Z","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":"Given a point (the \"spider\") on a rectangular box, we would like to find the minimal distance along the surface to its opposite point (the \"fly\" - the reflection of the spider across the center of the box). Without loss of generality, we can assume that the box has dimensions $1\\times a\\times b$ with the spider on one of the $1\\times a$ faces (with $a\\leq 1$). The shortest path between the points is always a line segment for some planar flattening of the box by cutting along edges. We then partition the $1\\times a$ face into regions, depending on which faces this path traverses. This choice of","authors_text":"Edward F. Schaefer, S. Michael Miller","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-03T21:22:36Z","title":"The distance from a point to its opposite along the surface of a box"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01036","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":"sha256:88efd1168f770885ddcb4cdb87fa33c6632b283947d82884483b4ae5827cdc0c","target":"record","created_at":"2026-05-18T02:27:58Z","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":"ef03dc77649573db5ef4cd3398a2bb2abea7eae0c80bac75324e33b075dd9146","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-03T21:22:36Z","title_canon_sha256":"2fc29135d63855dd1b3fca4b1f40c271346c09ec9a60ded7242310b3640a4265"},"schema_version":"1.0","source":{"id":"1502.01036","kind":"arxiv","version":1}},"canonical_sha256":"571a08e5a7a188af82c05e07989cfa3cb83a59b672c4e82446ae818b31519519","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"571a08e5a7a188af82c05e07989cfa3cb83a59b672c4e82446ae818b31519519","first_computed_at":"2026-05-18T02:27:58.183420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:58.183420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bAyAtOitLFcxibcHgeQf0KNxBmlWBrk43+npGpsPyJA0A2DkWgqCGEH6MzyfWKv5gWIp+0GZ4TQoFYbcxAGrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:58.184114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88efd1168f770885ddcb4cdb87fa33c6632b283947d82884483b4ae5827cdc0c","sha256:1d1cc2e16a56bd948ee28d0c5e56c2612e5bddbd93c883b6be9089719ee211e1"],"state_sha256":"5ddbea37d5336f24f93acc2b200f10483e0a16ae5ceb0e1b3e9580bb02888e2d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UdMcVcjzKrV9x9Dax0bBKT8sjRUYnWDGuVheD7M0wfqjmOnEa7AWB95kDrw2L4P1bi/fp6p0PGBFbl/XGh4gAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:13:26.322444Z","bundle_sha256":"66b7c07822bf7c4e8e58259f5e552c313073b31286bd03ab662d431dc575da36"}}