{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WPF6RZKFOXIGHJQXIOYSV2ZJY7","short_pith_number":"pith:WPF6RZKF","canonical_record":{"source":{"id":"1506.01500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-04T08:09:54Z","cross_cats_sorted":[],"title_canon_sha256":"bae9285beefc0bd1e64745962cb7f6ac61029681ba3bc7fcef6b51695cf74894","abstract_canon_sha256":"90000e30c035361babdb2af78532f344d93c5a948f0bb82f06c9ee6c1a126917"},"schema_version":"1.0"},"canonical_sha256":"b3cbe8e54575d063a61743b12aeb29c7e5fa137b70ae46589f486c4dcf910e5a","source":{"kind":"arxiv","id":"1506.01500","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01500","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01500v1","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01500","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"WPF6RZKFOXIG","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPF6RZKFOXIGHJQX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPF6RZKF","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WPF6RZKFOXIGHJQXIOYSV2ZJY7","target":"record","payload":{"canonical_record":{"source":{"id":"1506.01500","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-04T08:09:54Z","cross_cats_sorted":[],"title_canon_sha256":"bae9285beefc0bd1e64745962cb7f6ac61029681ba3bc7fcef6b51695cf74894","abstract_canon_sha256":"90000e30c035361babdb2af78532f344d93c5a948f0bb82f06c9ee6c1a126917"},"schema_version":"1.0"},"canonical_sha256":"b3cbe8e54575d063a61743b12aeb29c7e5fa137b70ae46589f486c4dcf910e5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:41.258740Z","signature_b64":"DccJ9mbMkjYiYl6LnwMFMBOpfBfLSkGAGvaOSovCfXOpKr7FnVnMH+hrdkZx/EZAbWFN7bxrnBI38w7r23p/CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3cbe8e54575d063a61743b12aeb29c7e5fa137b70ae46589f486c4dcf910e5a","last_reissued_at":"2026-05-18T01:57:41.258080Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:41.258080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.01500","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":"2026-05-18T01:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVIXyq4JMg09KVeS1hzBtO5T+JNR8DRzY0W1hDaV705P417OV8TbLyqzWkGDS2DqrOkmpXrlLEpq2dGG0b1IBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:22:52.291848Z"},"content_sha256":"599f48dc82c0e86d099c89b6b4cdec786b6d63bcbd7a3fd6012ca5267e4acf8d","schema_version":"1.0","event_id":"sha256:599f48dc82c0e86d099c89b6b4cdec786b6d63bcbd7a3fd6012ca5267e4acf8d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WPF6RZKFOXIGHJQXIOYSV2ZJY7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Automorphisms of a symmetric product of a curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Indranil Biswas, Tomas L. Gomez","submitted_at":"2015-06-04T08:09:54Z","abstract_excerpt":"We show that all the automorphisms of the symmetric product Sym^d(X), d>2g-2, of a smooth projective curve X of genus g>2 are induced by automorphisms of X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01500","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":"2026-05-18T01:57:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0H3OdI/aChItGsJZrSCf2yhp0YqY1pE6oIvC/YH5JZKU3Z/H0+vli9Y8OAywkHY2zk1dqsxZOPX8e4EUbbMZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T01:22:52.292243Z"},"content_sha256":"134da6018818d02b1709f37c92064fe0f48160edf235ffb0ce5b6588ac640d24","schema_version":"1.0","event_id":"sha256:134da6018818d02b1709f37c92064fe0f48160edf235ffb0ce5b6588ac640d24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/bundle.json","state_url":"https://pith.science/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/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":"2026-06-02T01:22:52Z","links":{"resolver":"https://pith.science/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7","bundle":"https://pith.science/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/bundle.json","state":"https://pith.science/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WPF6RZKFOXIGHJQXIOYSV2ZJY7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WPF6RZKFOXIGHJQXIOYSV2ZJY7","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":"90000e30c035361babdb2af78532f344d93c5a948f0bb82f06c9ee6c1a126917","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-04T08:09:54Z","title_canon_sha256":"bae9285beefc0bd1e64745962cb7f6ac61029681ba3bc7fcef6b51695cf74894"},"schema_version":"1.0","source":{"id":"1506.01500","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01500","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01500v1","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01500","created_at":"2026-05-18T01:57:41Z"},{"alias_kind":"pith_short_12","alias_value":"WPF6RZKFOXIG","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WPF6RZKFOXIGHJQX","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WPF6RZKF","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:134da6018818d02b1709f37c92064fe0f48160edf235ffb0ce5b6588ac640d24","target":"graph","created_at":"2026-05-18T01:57:41Z","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 show that all the automorphisms of the symmetric product Sym^d(X), d>2g-2, of a smooth projective curve X of genus g>2 are induced by automorphisms of X.","authors_text":"Indranil Biswas, Tomas L. Gomez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-04T08:09:54Z","title":"Automorphisms of a symmetric product of a curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01500","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":"sha256:599f48dc82c0e86d099c89b6b4cdec786b6d63bcbd7a3fd6012ca5267e4acf8d","target":"record","created_at":"2026-05-18T01:57:41Z","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":"90000e30c035361babdb2af78532f344d93c5a948f0bb82f06c9ee6c1a126917","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-04T08:09:54Z","title_canon_sha256":"bae9285beefc0bd1e64745962cb7f6ac61029681ba3bc7fcef6b51695cf74894"},"schema_version":"1.0","source":{"id":"1506.01500","kind":"arxiv","version":1}},"canonical_sha256":"b3cbe8e54575d063a61743b12aeb29c7e5fa137b70ae46589f486c4dcf910e5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3cbe8e54575d063a61743b12aeb29c7e5fa137b70ae46589f486c4dcf910e5a","first_computed_at":"2026-05-18T01:57:41.258080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:41.258080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DccJ9mbMkjYiYl6LnwMFMBOpfBfLSkGAGvaOSovCfXOpKr7FnVnMH+hrdkZx/EZAbWFN7bxrnBI38w7r23p/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:41.258740Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01500","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:599f48dc82c0e86d099c89b6b4cdec786b6d63bcbd7a3fd6012ca5267e4acf8d","sha256:134da6018818d02b1709f37c92064fe0f48160edf235ffb0ce5b6588ac640d24"],"state_sha256":"db70a19b9ed1930042deac126545c8f18f3fae41a02837296139786520bfb3e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zVS48PqpmpV9pipBjoGpye9s0byiy9IAuDkiqM2+eSEcQbFM5+sKKPGlyieaexxqJMEihdErm3iGZF0nnCvUDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T01:22:52.294015Z","bundle_sha256":"efc1f6c8650c7d2085b66e6830803c375edaef70f3d73880429cfb72604f3229"}}