{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SCPVYOIZL3HPXA7WHIZYQTFO55","short_pith_number":"pith:SCPVYOIZ","canonical_record":{"source":{"id":"1709.08440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T12:01:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"39a0eb0ed06bd6df54f157761d2becc1bdca135c9b2dcebb6c3c197928aad8a2","abstract_canon_sha256":"b251b72db6c0ff1ab8c11609a0b7c91f981583385ee857df4c66a22e93658ae4"},"schema_version":"1.0"},"canonical_sha256":"909f5c39195ecefb83f63a33884caeef5b4ab3d78ef89b23495cbef7c5eaf331","source":{"kind":"arxiv","id":"1709.08440","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08440","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08440v1","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08440","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"SCPVYOIZL3HP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SCPVYOIZL3HPXA7W","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SCPVYOIZ","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SCPVYOIZL3HPXA7WHIZYQTFO55","target":"record","payload":{"canonical_record":{"source":{"id":"1709.08440","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T12:01:26Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"39a0eb0ed06bd6df54f157761d2becc1bdca135c9b2dcebb6c3c197928aad8a2","abstract_canon_sha256":"b251b72db6c0ff1ab8c11609a0b7c91f981583385ee857df4c66a22e93658ae4"},"schema_version":"1.0"},"canonical_sha256":"909f5c39195ecefb83f63a33884caeef5b4ab3d78ef89b23495cbef7c5eaf331","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:31.263044Z","signature_b64":"YCtWZG1AgUPntKC34qg/yVCB4c0crqr36NAJRUL13HZe8Rmd/ABaoXfJXmp78s+Vm6svABTr2P/dlK2X5xWeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"909f5c39195ecefb83f63a33884caeef5b4ab3d78ef89b23495cbef7c5eaf331","last_reissued_at":"2026-05-18T00:16:31.262420Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:31.262420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.08440","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":"2026-05-18T00:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mx+eol4QXnEGKFrhvXemHNdNDATGqcunqok0B5F8g9o0ggUKYjjXwymD+pMUl+Dqj/BzUryngQvenTHqxtiOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:29:07.815069Z"},"content_sha256":"397450c2cfc8fd70aa2214db1bcf59a46b27ab7191188c4011bb74d44332da5c","schema_version":"1.0","event_id":"sha256:397450c2cfc8fd70aa2214db1bcf59a46b27ab7191188c4011bb74d44332da5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SCPVYOIZL3HPXA7WHIZYQTFO55","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heun polynomials and exact solutions for the massless Dirac particle in the C-metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Ananda Dasgupta, Prasanta K. Panigrahi, Priyasri Kar, Ritesh K. Singh","submitted_at":"2017-09-25T12:01:26Z","abstract_excerpt":"The equation of motion of a massless Dirac particle in the C-metric leads to the general Heun equation (GHE) for the radial and the polar variables. The GHE, under certain parametric conditions, has been cast in terms of a new set of $su(1,1)$ generators involving differential operators of \\emph{degrees} $\\pm 1/2$ and $0$. Additional \\emph{Heun polynomials} are obtained using this new algebraic structure and are used to construct some exact solutions for the radial and the polar parts of the Dirac equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08440","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":"2026-05-18T00:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+R+hX4hFARepNKPcCbIwaftLtmcXmFrfF55sjm4kKWf35ebdOctFb/gtqd0xFS8j9z7gUqedH8Z/tYoxonMrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:29:07.815779Z"},"content_sha256":"fd5e3ca8d6715666bb1a655b4909ebd3ca5d580efc1e402ebff07de28c1c8031","schema_version":"1.0","event_id":"sha256:fd5e3ca8d6715666bb1a655b4909ebd3ca5d580efc1e402ebff07de28c1c8031"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/bundle.json","state_url":"https://pith.science/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/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":"2026-05-27T09:29:07Z","links":{"resolver":"https://pith.science/pith/SCPVYOIZL3HPXA7WHIZYQTFO55","bundle":"https://pith.science/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/bundle.json","state":"https://pith.science/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCPVYOIZL3HPXA7WHIZYQTFO55/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SCPVYOIZL3HPXA7WHIZYQTFO55","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":"b251b72db6c0ff1ab8c11609a0b7c91f981583385ee857df4c66a22e93658ae4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T12:01:26Z","title_canon_sha256":"39a0eb0ed06bd6df54f157761d2becc1bdca135c9b2dcebb6c3c197928aad8a2"},"schema_version":"1.0","source":{"id":"1709.08440","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08440","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08440v1","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08440","created_at":"2026-05-18T00:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"SCPVYOIZL3HP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SCPVYOIZL3HPXA7W","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SCPVYOIZ","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:fd5e3ca8d6715666bb1a655b4909ebd3ca5d580efc1e402ebff07de28c1c8031","target":"graph","created_at":"2026-05-18T00:16:31Z","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":"The equation of motion of a massless Dirac particle in the C-metric leads to the general Heun equation (GHE) for the radial and the polar variables. The GHE, under certain parametric conditions, has been cast in terms of a new set of $su(1,1)$ generators involving differential operators of \\emph{degrees} $\\pm 1/2$ and $0$. Additional \\emph{Heun polynomials} are obtained using this new algebraic structure and are used to construct some exact solutions for the radial and the polar parts of the Dirac equation.","authors_text":"Ananda Dasgupta, Prasanta K. Panigrahi, Priyasri Kar, Ritesh K. Singh","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T12:01:26Z","title":"Heun polynomials and exact solutions for the massless Dirac particle in the C-metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08440","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":"sha256:397450c2cfc8fd70aa2214db1bcf59a46b27ab7191188c4011bb74d44332da5c","target":"record","created_at":"2026-05-18T00:16:31Z","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":"b251b72db6c0ff1ab8c11609a0b7c91f981583385ee857df4c66a22e93658ae4","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-09-25T12:01:26Z","title_canon_sha256":"39a0eb0ed06bd6df54f157761d2becc1bdca135c9b2dcebb6c3c197928aad8a2"},"schema_version":"1.0","source":{"id":"1709.08440","kind":"arxiv","version":1}},"canonical_sha256":"909f5c39195ecefb83f63a33884caeef5b4ab3d78ef89b23495cbef7c5eaf331","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"909f5c39195ecefb83f63a33884caeef5b4ab3d78ef89b23495cbef7c5eaf331","first_computed_at":"2026-05-18T00:16:31.262420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:31.262420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YCtWZG1AgUPntKC34qg/yVCB4c0crqr36NAJRUL13HZe8Rmd/ABaoXfJXmp78s+Vm6svABTr2P/dlK2X5xWeBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:31.263044Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08440","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:397450c2cfc8fd70aa2214db1bcf59a46b27ab7191188c4011bb74d44332da5c","sha256:fd5e3ca8d6715666bb1a655b4909ebd3ca5d580efc1e402ebff07de28c1c8031"],"state_sha256":"6a918e515b6aa3f63f0cdfe98897159f55fe1983a82a856bdcf70a75b5ba7753"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1bP9eHc2++Z/io+UgJeg7GvhWmtbjpsj5/5FQvhJknc6dx6aExPOTFwAYlxKgjUqNBTlig6Qpc9QJEMjDsEsAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:29:07.818757Z","bundle_sha256":"ff88f23e85ce71c745a165d1b6619731c8e7ebd55b9ca22184de06f84589f563"}}