{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UJECPQJHY43M4RS3B2IC6IUL3Q","short_pith_number":"pith:UJECPQJH","canonical_record":{"source":{"id":"2410.16275","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-21T17:59:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0b95a508615491a868bc4678df4ec37f3d527eedce44656ee88b1d0ece551ec9","abstract_canon_sha256":"eabca53e2fd296218fd37526311635e4f255970d2844af41f074e77221ea098a"},"schema_version":"1.0"},"canonical_sha256":"a24827c127c736ce465b0e902f228bdc03f3cc29c1346aeceb707dbad06d527e","source":{"kind":"arxiv","id":"2410.16275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.16275","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2410.16275v1","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.16275","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"UJECPQJHY43M","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"UJECPQJHY43M4RS3","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"UJECPQJH","created_at":"2026-07-05T09:23:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UJECPQJHY43M4RS3B2IC6IUL3Q","target":"record","payload":{"canonical_record":{"source":{"id":"2410.16275","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-21T17:59:56Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"0b95a508615491a868bc4678df4ec37f3d527eedce44656ee88b1d0ece551ec9","abstract_canon_sha256":"eabca53e2fd296218fd37526311635e4f255970d2844af41f074e77221ea098a"},"schema_version":"1.0"},"canonical_sha256":"a24827c127c736ce465b0e902f228bdc03f3cc29c1346aeceb707dbad06d527e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:23:32.313527Z","signature_b64":"RLk5+J51tfy6idL9Lxk8XoJGX7w9bAGLok+EuJoOXGD2K+EO6bB0X0vk3uI8HTHZbp19sSgnqG8r8IF6zG1xDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a24827c127c736ce465b0e902f228bdc03f3cc29c1346aeceb707dbad06d527e","last_reissued_at":"2026-07-05T09:23:32.313111Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:23:32.313111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.16275","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":"2026-07-05T09:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFP1SwzauqIb8teOKLpBGjqTiOJqdZlwwsei3N8Hulz0SL3QLDl66ADlHCwRVpMLlaKYeWX0/yv6rvdKrecDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:33:03.606929Z"},"content_sha256":"e1379471b680ccf04810ab1c52896c341712db043301df17d06e7d9d0070e346","schema_version":"1.0","event_id":"sha256:e1379471b680ccf04810ab1c52896c341712db043301df17d06e7d9d0070e346"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UJECPQJHY43M4RS3B2IC6IUL3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiparticle scalar dark matter with $\\mathbb{Z}_N$ symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Dipankar Pradhan, Lipika Kolay, Subhaditya Bhattacharya","submitted_at":"2024-10-21T17:59:56Z","abstract_excerpt":"More than one dark sector particle transforming under the same symmetry provides one stable dark matter (DM) component which undergoes co-annihilation with the heavier particle(s) decaying to DM. Specific assumptions on the kinematics and on the coupling parameters may render the heavier component(s) stable and contribute as DM. The choices of the charges of the dark sector fields under transformation play a crucial role in the resultant phenomenology. In this paper, we systematically address the possibility of obtaining two scalar DM components under $\\mathbb{Z}_N$ symmetry. We consider both "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.16275","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.16275/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JY/BqtgqKvFhBROnP68D2LM1vCuf3EriX4BuAZ1iNch3D9upBVPqesRiMJDYMIJrGKl67RXVkUKxRjgB17ZxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:33:03.608193Z"},"content_sha256":"fe54e35ae627b42adeaa3387ca11a03c1aad56374214ea6af9933b6c6602fd08","schema_version":"1.0","event_id":"sha256:fe54e35ae627b42adeaa3387ca11a03c1aad56374214ea6af9933b6c6602fd08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/bundle.json","state_url":"https://pith.science/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/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":"2026-08-12T05:33:03Z","links":{"resolver":"https://pith.science/pith/UJECPQJHY43M4RS3B2IC6IUL3Q","bundle":"https://pith.science/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/bundle.json","state":"https://pith.science/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UJECPQJHY43M4RS3B2IC6IUL3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UJECPQJHY43M4RS3B2IC6IUL3Q","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":"eabca53e2fd296218fd37526311635e4f255970d2844af41f074e77221ea098a","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-21T17:59:56Z","title_canon_sha256":"0b95a508615491a868bc4678df4ec37f3d527eedce44656ee88b1d0ece551ec9"},"schema_version":"1.0","source":{"id":"2410.16275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.16275","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"2410.16275v1","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.16275","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"UJECPQJHY43M","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_16","alias_value":"UJECPQJHY43M4RS3","created_at":"2026-07-05T09:23:32Z"},{"alias_kind":"pith_short_8","alias_value":"UJECPQJH","created_at":"2026-07-05T09:23:32Z"}],"graph_snapshots":[{"event_id":"sha256:fe54e35ae627b42adeaa3387ca11a03c1aad56374214ea6af9933b6c6602fd08","target":"graph","created_at":"2026-07-05T09:23:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.16275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"More than one dark sector particle transforming under the same symmetry provides one stable dark matter (DM) component which undergoes co-annihilation with the heavier particle(s) decaying to DM. Specific assumptions on the kinematics and on the coupling parameters may render the heavier component(s) stable and contribute as DM. The choices of the charges of the dark sector fields under transformation play a crucial role in the resultant phenomenology. In this paper, we systematically address the possibility of obtaining two scalar DM components under $\\mathbb{Z}_N$ symmetry. We consider both ","authors_text":"Dipankar Pradhan, Lipika Kolay, Subhaditya Bhattacharya","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-21T17:59:56Z","title":"Multiparticle scalar dark matter with $\\mathbb{Z}_N$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.16275","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:e1379471b680ccf04810ab1c52896c341712db043301df17d06e7d9d0070e346","target":"record","created_at":"2026-07-05T09:23:32Z","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":"eabca53e2fd296218fd37526311635e4f255970d2844af41f074e77221ea098a","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-10-21T17:59:56Z","title_canon_sha256":"0b95a508615491a868bc4678df4ec37f3d527eedce44656ee88b1d0ece551ec9"},"schema_version":"1.0","source":{"id":"2410.16275","kind":"arxiv","version":1}},"canonical_sha256":"a24827c127c736ce465b0e902f228bdc03f3cc29c1346aeceb707dbad06d527e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a24827c127c736ce465b0e902f228bdc03f3cc29c1346aeceb707dbad06d527e","first_computed_at":"2026-07-05T09:23:32.313111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:23:32.313111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RLk5+J51tfy6idL9Lxk8XoJGX7w9bAGLok+EuJoOXGD2K+EO6bB0X0vk3uI8HTHZbp19sSgnqG8r8IF6zG1xDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:23:32.313527Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.16275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1379471b680ccf04810ab1c52896c341712db043301df17d06e7d9d0070e346","sha256:fe54e35ae627b42adeaa3387ca11a03c1aad56374214ea6af9933b6c6602fd08"],"state_sha256":"ff0b8da30b4061fdc0cd3f0b03a65fdc13368ef15439813712a6c39d3e1f391a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3WXDhnx4WyJwvnBJiVagrCJGdhAapmT/wdQyVJkJ/3AhE/L+1j5pTxE/NqW8gWhz9vlvCiB8nkv3m1zj/71BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T05:33:03.619539Z","bundle_sha256":"6de3f675b10f340aa2e4b19a78e6baa8505f8c0c115d06d682d3726edf923f0e"}}