{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:4JWLNHRIUG2J64FHN5LGGTO7ZO","short_pith_number":"pith:4JWLNHRI","canonical_record":{"source":{"id":"1212.2731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-12T08:41:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"640c9805b02518a809f6df83623cb72472215fbe2178388ce2a2e4e4e79e7634","abstract_canon_sha256":"687862de4697ea290a3776cf16a4de859ef4c958594ad5af8feff93b5e9ab464"},"schema_version":"1.0"},"canonical_sha256":"e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3","source":{"kind":"arxiv","id":"1212.2731","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2731","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2731v1","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2731","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"4JWLNHRIUG2J","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4JWLNHRIUG2J64FH","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4JWLNHRI","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:4JWLNHRIUG2J64FHN5LGGTO7ZO","target":"record","payload":{"canonical_record":{"source":{"id":"1212.2731","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-12T08:41:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"640c9805b02518a809f6df83623cb72472215fbe2178388ce2a2e4e4e79e7634","abstract_canon_sha256":"687862de4697ea290a3776cf16a4de859ef4c958594ad5af8feff93b5e9ab464"},"schema_version":"1.0"},"canonical_sha256":"e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:35.549960Z","signature_b64":"SymthHWLezzKJtKZAMv5FRBvS+UAh55MILfskFwXJuNxY6wFJKXCprXRYDah5MzcMDXMxmiFt64rh3vhHvnvAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3","last_reissued_at":"2026-05-18T03:38:35.549260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:35.549260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.2731","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":"2026-05-18T03:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"04U2rhvBLzzuy7l6wuC4dIP6KYcn8euaHozNU8RJY6ElpjCYDkn4dUpn3aTwsS4l87nEFis0ico4cx/MhK8NCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:47:18.447837Z"},"content_sha256":"a73e8ea27cc6d9fa9b8615c8d04451dccf8b3b4f3144b45bc1c0e9f686509c9b","schema_version":"1.0","event_id":"sha256:a73e8ea27cc6d9fa9b8615c8d04451dccf8b3b4f3144b45bc1c0e9f686509c9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:4JWLNHRIUG2J64FHN5LGGTO7ZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adinkra Isomorphisms and `Seeing' Shapes with Eigenvalues","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Keith Burghardt, S. James Gates Jr","submitted_at":"2012-12-12T08:41:11Z","abstract_excerpt":"We create an algorithm to determine whether any two graphical representations (adinkras) of equations possessing the property of supersymmetry in one or two dimensions are isomorphic in shape. The algorithm is based on the determinant of `permutation matrices' that are defined in this work and derivable for any adinkra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2731","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":"2026-05-18T03:38:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CN0Nu2YeVjdDkDr2gH3ZYO+CD1zOUsfWpXfsL6WkweJuQ/rpnBYaSUMWibMwiMaPb9zG9hiaaj6FV3gbDZhDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:47:18.448538Z"},"content_sha256":"8d184d04028c10e31f047614aa8209de261a8c26f1172d06c26f3d675d0eafc8","schema_version":"1.0","event_id":"sha256:8d184d04028c10e31f047614aa8209de261a8c26f1172d06c26f3d675d0eafc8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/bundle.json","state_url":"https://pith.science/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/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":"2026-05-25T15:47:18Z","links":{"resolver":"https://pith.science/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO","bundle":"https://pith.science/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/bundle.json","state":"https://pith.science/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JWLNHRIUG2J64FHN5LGGTO7ZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:4JWLNHRIUG2J64FHN5LGGTO7ZO","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":"687862de4697ea290a3776cf16a4de859ef4c958594ad5af8feff93b5e9ab464","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-12T08:41:11Z","title_canon_sha256":"640c9805b02518a809f6df83623cb72472215fbe2178388ce2a2e4e4e79e7634"},"schema_version":"1.0","source":{"id":"1212.2731","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.2731","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"arxiv_version","alias_value":"1212.2731v1","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.2731","created_at":"2026-05-18T03:38:35Z"},{"alias_kind":"pith_short_12","alias_value":"4JWLNHRIUG2J","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"4JWLNHRIUG2J64FH","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"4JWLNHRI","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:8d184d04028c10e31f047614aa8209de261a8c26f1172d06c26f3d675d0eafc8","target":"graph","created_at":"2026-05-18T03:38:35Z","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":"We create an algorithm to determine whether any two graphical representations (adinkras) of equations possessing the property of supersymmetry in one or two dimensions are isomorphic in shape. The algorithm is based on the determinant of `permutation matrices' that are defined in this work and derivable for any adinkra.","authors_text":"Keith Burghardt, S. James Gates Jr","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-12T08:41:11Z","title":"Adinkra Isomorphisms and `Seeing' Shapes with Eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.2731","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:a73e8ea27cc6d9fa9b8615c8d04451dccf8b3b4f3144b45bc1c0e9f686509c9b","target":"record","created_at":"2026-05-18T03:38:35Z","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":"687862de4697ea290a3776cf16a4de859ef4c958594ad5af8feff93b5e9ab464","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-12T08:41:11Z","title_canon_sha256":"640c9805b02518a809f6df83623cb72472215fbe2178388ce2a2e4e4e79e7634"},"schema_version":"1.0","source":{"id":"1212.2731","kind":"arxiv","version":1}},"canonical_sha256":"e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e26cb69e28a1b49f70a76f56634ddfcbbdfe3b81034044a6b26a651a087c7de3","first_computed_at":"2026-05-18T03:38:35.549260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:35.549260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SymthHWLezzKJtKZAMv5FRBvS+UAh55MILfskFwXJuNxY6wFJKXCprXRYDah5MzcMDXMxmiFt64rh3vhHvnvAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:35.549960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.2731","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a73e8ea27cc6d9fa9b8615c8d04451dccf8b3b4f3144b45bc1c0e9f686509c9b","sha256:8d184d04028c10e31f047614aa8209de261a8c26f1172d06c26f3d675d0eafc8"],"state_sha256":"f85072a53e366b526b93692bcd0aadb20c4987850f75d4bff376e1dec379ff44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PHqM7q3Hu5EU3HdR14p0MAAZ1KwrOfFFI1jRbtHg5YeAhe4AEiD5NYSI6prvrzqenJj+sfTKcrTuiRAUFR68BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:47:18.452121Z","bundle_sha256":"87e0f3b34ee2eea7777a57147530d915b8ecc19b39eacb6ebbb8a4d6b9f24f8e"}}