{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:52DZC3QETKXZ6JH7N7OPYIYESZ","short_pith_number":"pith:52DZC3QE","canonical_record":{"source":{"id":"1510.08319","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.hist-ph","submitted_at":"2015-10-28T14:27:17Z","cross_cats_sorted":[],"title_canon_sha256":"c7a9c1643477a22c523c806f1b7c33f9c918cc7b75ab5047d3bfacb74e4f2ddc","abstract_canon_sha256":"5f6d35d57549e89e7f6dc29864ce7050a59eb12b0464f7b4c0bdd5c9e246e7c9"},"schema_version":"1.0"},"canonical_sha256":"ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944","source":{"kind":"arxiv","id":"1510.08319","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08319","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08319v1","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08319","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"52DZC3QETKXZ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"52DZC3QETKXZ6JH7","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"52DZC3QE","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:52DZC3QETKXZ6JH7N7OPYIYESZ","target":"record","payload":{"canonical_record":{"source":{"id":"1510.08319","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.hist-ph","submitted_at":"2015-10-28T14:27:17Z","cross_cats_sorted":[],"title_canon_sha256":"c7a9c1643477a22c523c806f1b7c33f9c918cc7b75ab5047d3bfacb74e4f2ddc","abstract_canon_sha256":"5f6d35d57549e89e7f6dc29864ce7050a59eb12b0464f7b4c0bdd5c9e246e7c9"},"schema_version":"1.0"},"canonical_sha256":"ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:36.412394Z","signature_b64":"mgN9blnSJ3RlMXKg4tpxIFs+wd0SMJF2HKs1ko0CiZ13h6EVWrpPv2ruAGq4zKe4fVLYjj5Ysd9IhvsRpWWbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944","last_reissued_at":"2026-05-18T01:28:36.411795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:36.411795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.08319","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":"2026-05-18T01:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JPCXrWJ0sB77OMs/AMdCGWo0qw1FeLlk6fKRfiw8IO2qUFStCHX9oR9LoDHV6V2xVqGrAiTvGIM5kKg4gDPSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T19:16:00.121549Z"},"content_sha256":"6570ce74fc6791edb5b397c3513a321b37ac9d3ce7bbc7679277442b8eee209c","schema_version":"1.0","event_id":"sha256:6570ce74fc6791edb5b397c3513a321b37ac9d3ce7bbc7679277442b8eee209c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:52DZC3QETKXZ6JH7N7OPYIYESZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Klein's \"Erlanger Programm\": do traces of it exist in physical theories?","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.hist-ph","authors_text":"Hubert Goenner","submitted_at":"2015-10-28T14:27:17Z","abstract_excerpt":"A possible influence of Klein's Erlangen program on physical theories is investigated. While some connections are found, it is concluded that Lie's theory of transformation groups and Lie algebras have had a much larger impact. In this context, an extension to tangential Lie algebroids is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08319","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":"2026-05-18T01:28:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFpmj6vllhlKWvCx9h2TgH6hU8ykqnzSiisLU2YODc5KiWOxMfaUMoJNFGFO+DlQjgemL8jLYnSJ96yg6EG3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T19:16:00.121897Z"},"content_sha256":"c2fed11af5328735abf2b969de5c344989db4c31108642ee03cf340c2c12973f","schema_version":"1.0","event_id":"sha256:c2fed11af5328735abf2b969de5c344989db4c31108642ee03cf340c2c12973f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/bundle.json","state_url":"https://pith.science/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/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":"2026-06-30T19:16:00Z","links":{"resolver":"https://pith.science/pith/52DZC3QETKXZ6JH7N7OPYIYESZ","bundle":"https://pith.science/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/bundle.json","state":"https://pith.science/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/52DZC3QETKXZ6JH7N7OPYIYESZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:52DZC3QETKXZ6JH7N7OPYIYESZ","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":"5f6d35d57549e89e7f6dc29864ce7050a59eb12b0464f7b4c0bdd5c9e246e7c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.hist-ph","submitted_at":"2015-10-28T14:27:17Z","title_canon_sha256":"c7a9c1643477a22c523c806f1b7c33f9c918cc7b75ab5047d3bfacb74e4f2ddc"},"schema_version":"1.0","source":{"id":"1510.08319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.08319","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"arxiv_version","alias_value":"1510.08319v1","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08319","created_at":"2026-05-18T01:28:36Z"},{"alias_kind":"pith_short_12","alias_value":"52DZC3QETKXZ","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"52DZC3QETKXZ6JH7","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"52DZC3QE","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:c2fed11af5328735abf2b969de5c344989db4c31108642ee03cf340c2c12973f","target":"graph","created_at":"2026-05-18T01:28:36Z","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":"A possible influence of Klein's Erlangen program on physical theories is investigated. While some connections are found, it is concluded that Lie's theory of transformation groups and Lie algebras have had a much larger impact. In this context, an extension to tangential Lie algebroids is discussed.","authors_text":"Hubert Goenner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.hist-ph","submitted_at":"2015-10-28T14:27:17Z","title":"Klein's \"Erlanger Programm\": do traces of it exist in physical theories?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08319","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":"sha256:6570ce74fc6791edb5b397c3513a321b37ac9d3ce7bbc7679277442b8eee209c","target":"record","created_at":"2026-05-18T01:28:36Z","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":"5f6d35d57549e89e7f6dc29864ce7050a59eb12b0464f7b4c0bdd5c9e246e7c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.hist-ph","submitted_at":"2015-10-28T14:27:17Z","title_canon_sha256":"c7a9c1643477a22c523c806f1b7c33f9c918cc7b75ab5047d3bfacb74e4f2ddc"},"schema_version":"1.0","source":{"id":"1510.08319","kind":"arxiv","version":1}},"canonical_sha256":"ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee87916e049aaf9f24ff6fdcfc2304965b40a2ebaacd24b081f220dd24074944","first_computed_at":"2026-05-18T01:28:36.411795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:36.411795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mgN9blnSJ3RlMXKg4tpxIFs+wd0SMJF2HKs1ko0CiZ13h6EVWrpPv2ruAGq4zKe4fVLYjj5Ysd9IhvsRpWWbBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:36.412394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.08319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6570ce74fc6791edb5b397c3513a321b37ac9d3ce7bbc7679277442b8eee209c","sha256:c2fed11af5328735abf2b969de5c344989db4c31108642ee03cf340c2c12973f"],"state_sha256":"c1ac0381659d9ba95b9ac93ad513460dc7d119dbc2d3507f9fdc1d09c925ff40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wtOOhvXruZPvfrQ9ecn0cDNKh2frXCPLxPbPqwkgeRtjL8l8zXLspPd2ifuM1ZoXS6nAZy19n46R6B24krmACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T19:16:00.123825Z","bundle_sha256":"a202425deb3b8cdcbed96ddd6fc91f5413ed50b76c31d542fc39b21851f3ada9"}}