{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:M6TRXBY2QXOZ26J6D6XUPCBY7D","short_pith_number":"pith:M6TRXBY2","canonical_record":{"source":{"id":"1512.07883","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-24T19:10:26Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"title_canon_sha256":"eea622d6f6edd375c99bc0b94aaecf7b5da831d5b6dfa5d79081a3fd2e2ee648","abstract_canon_sha256":"d7227982b255e92634e74edfe908253c514041f4f9cece41f439ee5cd308a0ef"},"schema_version":"1.0"},"canonical_sha256":"67a71b871a85dd9d793e1faf478838f8dcd3a11d094597408d827e2b05775edf","source":{"kind":"arxiv","id":"1512.07883","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07883","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07883v3","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07883","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"M6TRXBY2QXOZ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M6TRXBY2QXOZ26J6","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M6TRXBY2","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:M6TRXBY2QXOZ26J6D6XUPCBY7D","target":"record","payload":{"canonical_record":{"source":{"id":"1512.07883","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-24T19:10:26Z","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"title_canon_sha256":"eea622d6f6edd375c99bc0b94aaecf7b5da831d5b6dfa5d79081a3fd2e2ee648","abstract_canon_sha256":"d7227982b255e92634e74edfe908253c514041f4f9cece41f439ee5cd308a0ef"},"schema_version":"1.0"},"canonical_sha256":"67a71b871a85dd9d793e1faf478838f8dcd3a11d094597408d827e2b05775edf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:58.874793Z","signature_b64":"d2nXQxNOTpDzGGX6zL2zRhYpVhC3JRv6nQwgKU/aoFYVv9e7ydDvLaXOVt8IR/V9EIN+NPVISMfc5I30iAOwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67a71b871a85dd9d793e1faf478838f8dcd3a11d094597408d827e2b05775edf","last_reissued_at":"2026-05-18T00:45:58.874152Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:58.874152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.07883","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:45:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uKLdLcTr3ldO3BFqh7Tn+dEtKIjhtbwP+oS0Y2pWHfl8bbh1qS6rChBuQEI2+pz0sPSzFPlNT2OwCqI+E7LfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:46:16.924933Z"},"content_sha256":"50131f6d0fa5fecbb77fd6f7448417f3326f70f911a0f1e4e8ec65e87573d77c","schema_version":"1.0","event_id":"sha256:50131f6d0fa5fecbb77fd6f7448417f3326f70f911a0f1e4e8ec65e87573d77c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:M6TRXBY2QXOZ26J6D6XUPCBY7D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequencing BPS Spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GT","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Ingmar Saberi, Marko Stosic, Piotr Su{\\l}kowski, Satoshi Nawata, Sergei Gukov","submitted_at":"2015-12-24T19:10:26Z","abstract_excerpt":"This paper provides both a detailed study of color-dependence of link homologies, as realized in physics as certain spaces of BPS states, and a broad study of the behavior of BPS states in general. We consider how the spectrum of BPS states varies as continuous parameters of a theory are perturbed. This question can be posed in a wide variety of physical contexts, and we answer it by proposing that the relationship between unperturbed and perturbed BPS spectra is described by a spectral sequence. These general considerations unify previous applications of spectral sequence techniques to physic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07883","kind":"arxiv","version":3},"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":"2026-05-18T00:45:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"05RSyebXF36bnH+221gSP+z7PHmSo1bjfVJkW1abwGBpDbx8EMxKdihbzRSKA0feKMJkxMMXm0rcGBUMeyASCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:46:16.925638Z"},"content_sha256":"9d122d131afdd1ab40feeb63d7ecfadb13970360c8548e06f5cf6eaa04bac1a8","schema_version":"1.0","event_id":"sha256:9d122d131afdd1ab40feeb63d7ecfadb13970360c8548e06f5cf6eaa04bac1a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/bundle.json","state_url":"https://pith.science/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/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":"2026-05-26T04:46:16Z","links":{"resolver":"https://pith.science/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D","bundle":"https://pith.science/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/bundle.json","state":"https://pith.science/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M6TRXBY2QXOZ26J6D6XUPCBY7D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:M6TRXBY2QXOZ26J6D6XUPCBY7D","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":"d7227982b255e92634e74edfe908253c514041f4f9cece41f439ee5cd308a0ef","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-24T19:10:26Z","title_canon_sha256":"eea622d6f6edd375c99bc0b94aaecf7b5da831d5b6dfa5d79081a3fd2e2ee648"},"schema_version":"1.0","source":{"id":"1512.07883","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07883","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07883v3","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07883","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"M6TRXBY2QXOZ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"M6TRXBY2QXOZ26J6","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"M6TRXBY2","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:9d122d131afdd1ab40feeb63d7ecfadb13970360c8548e06f5cf6eaa04bac1a8","target":"graph","created_at":"2026-05-18T00:45:58Z","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":"This paper provides both a detailed study of color-dependence of link homologies, as realized in physics as certain spaces of BPS states, and a broad study of the behavior of BPS states in general. We consider how the spectrum of BPS states varies as continuous parameters of a theory are perturbed. This question can be posed in a wide variety of physical contexts, and we answer it by proposing that the relationship between unperturbed and perturbed BPS spectra is described by a spectral sequence. These general considerations unify previous applications of spectral sequence techniques to physic","authors_text":"Ingmar Saberi, Marko Stosic, Piotr Su{\\l}kowski, Satoshi Nawata, Sergei Gukov","cross_cats":["math-ph","math.GT","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-24T19:10:26Z","title":"Sequencing BPS Spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07883","kind":"arxiv","version":3},"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":"sha256:50131f6d0fa5fecbb77fd6f7448417f3326f70f911a0f1e4e8ec65e87573d77c","target":"record","created_at":"2026-05-18T00:45:58Z","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":"d7227982b255e92634e74edfe908253c514041f4f9cece41f439ee5cd308a0ef","cross_cats_sorted":["math-ph","math.GT","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-24T19:10:26Z","title_canon_sha256":"eea622d6f6edd375c99bc0b94aaecf7b5da831d5b6dfa5d79081a3fd2e2ee648"},"schema_version":"1.0","source":{"id":"1512.07883","kind":"arxiv","version":3}},"canonical_sha256":"67a71b871a85dd9d793e1faf478838f8dcd3a11d094597408d827e2b05775edf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67a71b871a85dd9d793e1faf478838f8dcd3a11d094597408d827e2b05775edf","first_computed_at":"2026-05-18T00:45:58.874152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:58.874152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d2nXQxNOTpDzGGX6zL2zRhYpVhC3JRv6nQwgKU/aoFYVv9e7ydDvLaXOVt8IR/V9EIN+NPVISMfc5I30iAOwBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:58.874793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07883","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50131f6d0fa5fecbb77fd6f7448417f3326f70f911a0f1e4e8ec65e87573d77c","sha256:9d122d131afdd1ab40feeb63d7ecfadb13970360c8548e06f5cf6eaa04bac1a8"],"state_sha256":"d325e78ad73a9d3d20dfd3ae8d129b3bd1da207caacb768e9c45943deb2aaf36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DBOr60gRnJWcCSHt0OmpzPWRzzUwL1q+KZcNbJKqjRCH4ZmfuQq6FOURjiDy43EEPCiYyQvJBzHV4jxFqZwmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:46:16.929386Z","bundle_sha256":"f8636b5c5ef2b33f8f559bb411a51b3faa8215015553dd1cb41200a34945353e"}}