{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:M4GEMQGGKGFKEWXPT6VWFVGABL","short_pith_number":"pith:M4GEMQGG","canonical_record":{"source":{"id":"2102.04865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-02-09T14:59:39Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"57ba5084a10fbcaf89343946b029798053a020847e153757c00f3a3c34c8c6fd","abstract_canon_sha256":"66e02e8844d9e5a22832e4093a591d663a0c35bb2a8394e0bcfe47e1679c24c1"},"schema_version":"1.0"},"canonical_sha256":"670c4640c6518aa25aef9fab62d4c00af0bc30f9f663c65c1983487816d35eb0","source":{"kind":"arxiv","id":"2102.04865","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.04865","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"arxiv_version","alias_value":"2102.04865v1","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.04865","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_12","alias_value":"M4GEMQGGKGFK","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_16","alias_value":"M4GEMQGGKGFKEWXP","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_8","alias_value":"M4GEMQGG","created_at":"2026-07-05T02:14:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:M4GEMQGGKGFKEWXPT6VWFVGABL","target":"record","payload":{"canonical_record":{"source":{"id":"2102.04865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-02-09T14:59:39Z","cross_cats_sorted":["math.AG","math.DS"],"title_canon_sha256":"57ba5084a10fbcaf89343946b029798053a020847e153757c00f3a3c34c8c6fd","abstract_canon_sha256":"66e02e8844d9e5a22832e4093a591d663a0c35bb2a8394e0bcfe47e1679c24c1"},"schema_version":"1.0"},"canonical_sha256":"670c4640c6518aa25aef9fab62d4c00af0bc30f9f663c65c1983487816d35eb0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:14:05.720948Z","signature_b64":"jok7phdPjopPPjGkiOCcGRRZGOk4w2TTIomqAS1Zjlgashs2uyXDJqnfVrjozbGLktsNjops9Gx69fItkMzmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"670c4640c6518aa25aef9fab62d4c00af0bc30f9f663c65c1983487816d35eb0","last_reissued_at":"2026-07-05T02:14:05.720487Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:14:05.720487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.04865","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":"2026-07-05T02:14:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+M5J/9VBJD0d/q5VjjmQl7Gby4ey/HMpLLDVRJp+wq9TggJffJQ9Her4hOKcl3TgsAJnjUlzXIlMS5+spjrBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:36:17.796169Z"},"content_sha256":"2fcf3e72ef705c56efa1b74c28fb307c55d485cc54f17541103b72b1094e02e0","schema_version":"1.0","event_id":"sha256:2fcf3e72ef705c56efa1b74c28fb307c55d485cc54f17541103b72b1094e02e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:M4GEMQGGKGFKEWXPT6VWFVGABL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.DS"],"primary_cat":"math.NT","authors_text":"Juan Rivera-Letelier, Ricardo Menares, Sebasti\\'an Herrero","submitted_at":"2021-02-09T14:59:39Z","abstract_excerpt":"For a prime number $p$, we study the asymptotic distribution of CM points on the moduli space of elliptic curves over $\\mathbb{C}_p$. In stark contrast to the complex case, in the $p$-adic setting there are infinitely many different measures describing the asymptotic distribution of CM points. In this paper we identify all of these measures. A key insight is to translate this problem into a $p$-adic version of Linnik's classical problem on the asymptotic distribution of integer points on spheres. To do this translation, we use the close relationship between the deformation theories of elliptic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.04865","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/2102.04865/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":"2026-07-05T02:14:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gdvLGz7jOKEMzxbJ5fNxlDU9fxoDxI9OR8EOWHKVYWop2Gz+gBKecqZhF3pminykLXFGBkXUVQfPcizsXSFcCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:36:17.796698Z"},"content_sha256":"a879916c2e828f55aa831eaa18ed15523ab3f51fa3113cdd2326c604f95ce960","schema_version":"1.0","event_id":"sha256:a879916c2e828f55aa831eaa18ed15523ab3f51fa3113cdd2326c604f95ce960"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/bundle.json","state_url":"https://pith.science/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/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":"2026-08-11T20:36:17Z","links":{"resolver":"https://pith.science/pith/M4GEMQGGKGFKEWXPT6VWFVGABL","bundle":"https://pith.science/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/bundle.json","state":"https://pith.science/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M4GEMQGGKGFKEWXPT6VWFVGABL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:M4GEMQGGKGFKEWXPT6VWFVGABL","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":"66e02e8844d9e5a22832e4093a591d663a0c35bb2a8394e0bcfe47e1679c24c1","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-02-09T14:59:39Z","title_canon_sha256":"57ba5084a10fbcaf89343946b029798053a020847e153757c00f3a3c34c8c6fd"},"schema_version":"1.0","source":{"id":"2102.04865","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.04865","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"arxiv_version","alias_value":"2102.04865v1","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.04865","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_12","alias_value":"M4GEMQGGKGFK","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_16","alias_value":"M4GEMQGGKGFKEWXP","created_at":"2026-07-05T02:14:05Z"},{"alias_kind":"pith_short_8","alias_value":"M4GEMQGG","created_at":"2026-07-05T02:14:05Z"}],"graph_snapshots":[{"event_id":"sha256:a879916c2e828f55aa831eaa18ed15523ab3f51fa3113cdd2326c604f95ce960","target":"graph","created_at":"2026-07-05T02:14:05Z","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/2102.04865/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a prime number $p$, we study the asymptotic distribution of CM points on the moduli space of elliptic curves over $\\mathbb{C}_p$. In stark contrast to the complex case, in the $p$-adic setting there are infinitely many different measures describing the asymptotic distribution of CM points. In this paper we identify all of these measures. A key insight is to translate this problem into a $p$-adic version of Linnik's classical problem on the asymptotic distribution of integer points on spheres. To do this translation, we use the close relationship between the deformation theories of elliptic","authors_text":"Juan Rivera-Letelier, Ricardo Menares, Sebasti\\'an Herrero","cross_cats":["math.AG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-02-09T14:59:39Z","title":"p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.04865","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":"sha256:2fcf3e72ef705c56efa1b74c28fb307c55d485cc54f17541103b72b1094e02e0","target":"record","created_at":"2026-07-05T02:14:05Z","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":"66e02e8844d9e5a22832e4093a591d663a0c35bb2a8394e0bcfe47e1679c24c1","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2021-02-09T14:59:39Z","title_canon_sha256":"57ba5084a10fbcaf89343946b029798053a020847e153757c00f3a3c34c8c6fd"},"schema_version":"1.0","source":{"id":"2102.04865","kind":"arxiv","version":1}},"canonical_sha256":"670c4640c6518aa25aef9fab62d4c00af0bc30f9f663c65c1983487816d35eb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"670c4640c6518aa25aef9fab62d4c00af0bc30f9f663c65c1983487816d35eb0","first_computed_at":"2026-07-05T02:14:05.720487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:14:05.720487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jok7phdPjopPPjGkiOCcGRRZGOk4w2TTIomqAS1Zjlgashs2uyXDJqnfVrjozbGLktsNjops9Gx69fItkMzmCA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:14:05.720948Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.04865","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fcf3e72ef705c56efa1b74c28fb307c55d485cc54f17541103b72b1094e02e0","sha256:a879916c2e828f55aa831eaa18ed15523ab3f51fa3113cdd2326c604f95ce960"],"state_sha256":"b43a63adcd3306f7e964551c2dec9e4d9ca9d396ef3dbe34a8cbadc31e5f83ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lHAgiIm7pXmiSiQtaqX7FnfImWYmEb5/jlxLRSp7UTDprD8a60AFciA9tTOrAfHml2wymDy+C7hRlHnqidjPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T20:36:17.804177Z","bundle_sha256":"4cf1e33a7efcc481cc1d106c84874c8ba729792eea1953ac346e1013b77eecab"}}