{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ATJG7BEZBY6XU2UJJQ7ZPMEWVE","short_pith_number":"pith:ATJG7BEZ","canonical_record":{"source":{"id":"2607.07752","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T12:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"23a54974feedeab42294167a0a3893142f43bfcf129317101ee8d7e784fb6912","abstract_canon_sha256":"7dc3429648489e74fb01bbf5c94e1945ee928a7fa09dbc094bd17b1c6dd59430"},"schema_version":"1.0"},"canonical_sha256":"04d26f84990e3d7a6a894c3f97b096a91e81ce0be3f49cade546b9a2469216cc","source":{"kind":"arxiv","id":"2607.07752","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07752","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07752v1","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07752","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"ATJG7BEZBY6X","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"ATJG7BEZBY6XU2UJ","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"ATJG7BEZ","created_at":"2026-07-10T00:18:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ATJG7BEZBY6XU2UJJQ7ZPMEWVE","target":"record","payload":{"canonical_record":{"source":{"id":"2607.07752","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T12:00:05Z","cross_cats_sorted":[],"title_canon_sha256":"23a54974feedeab42294167a0a3893142f43bfcf129317101ee8d7e784fb6912","abstract_canon_sha256":"7dc3429648489e74fb01bbf5c94e1945ee928a7fa09dbc094bd17b1c6dd59430"},"schema_version":"1.0"},"canonical_sha256":"04d26f84990e3d7a6a894c3f97b096a91e81ce0be3f49cade546b9a2469216cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T00:18:47.896821Z","signature_b64":"ZS7Z8BpHk8P4tbFA8s6j6lGWGdFzZwc1pbibfKZ+IMdp9qa/dbGOMUNZcY5u00EvE56VdRjXP9xLwzFUH1d1Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04d26f84990e3d7a6a894c3f97b096a91e81ce0be3f49cade546b9a2469216cc","last_reissued_at":"2026-07-10T00:18:47.896425Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T00:18:47.896425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.07752","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":"2026-07-10T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yZwfKeppuXC4N3wWii2TROKvLwRpoJh65mfwzGjDiy/Sbi4dn1Z5jxssItEgiqj9kY6XhKFtaxWCNfTRCearDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T22:24:19.334607Z"},"content_sha256":"6d2f5ad66f91f89167cf6b9ae1100dda49434a626a8b0bee491c3b5cc8917c25","schema_version":"1.0","event_id":"sha256:6d2f5ad66f91f89167cf6b9ae1100dda49434a626a8b0bee491c3b5cc8917c25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ATJG7BEZBY6XU2UJJQ7ZPMEWVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. Errehymy, C. Hansraj, S. Hansraj","submitted_at":"2026-07-08T12:00:05Z","abstract_excerpt":"The Event Horizon Telescope (EHT) has provided images of the supermassive black-holes Sgr A$^{*}$ and M87$^{*}$, enabling direct tests of gravity. Any extended mass-distribution, such as a dark-matter halo, perturbs null-geodesics in the photon-ring regime, making shadow-measurements a probe of inner-halo structure. In this work, we investigate static, spherically-symmetric black-holes surrounded by Einasto-type dark-matter halos and derive constraints from EHT shadow-data. Starting from the Einasto density-profile with parameters ${\\varrho_0, \\tilde{\\alpha}, \\tilde{\\nu}}$, we construct a metr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07752","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/2607.07752/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":"2026-07-10T00:18:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5duNpY0jpi7y7kolQODfti/o36n+6/fyVV2pnCnFmnvVhfqgbw2IX9YF26cMPvbofcvkaHzGi5fT6R9FsK6KCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T22:24:19.335268Z"},"content_sha256":"674cbbdea4e156de42a3e283bf16bd7cdfc1c3fa5a0f245ddbaf6d5ba9081552","schema_version":"1.0","event_id":"sha256:674cbbdea4e156de42a3e283bf16bd7cdfc1c3fa5a0f245ddbaf6d5ba9081552"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/bundle.json","state_url":"https://pith.science/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/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":"2026-08-14T22:24:19Z","links":{"resolver":"https://pith.science/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE","bundle":"https://pith.science/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/bundle.json","state":"https://pith.science/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATJG7BEZBY6XU2UJJQ7ZPMEWVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ATJG7BEZBY6XU2UJJQ7ZPMEWVE","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":"7dc3429648489e74fb01bbf5c94e1945ee928a7fa09dbc094bd17b1c6dd59430","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T12:00:05Z","title_canon_sha256":"23a54974feedeab42294167a0a3893142f43bfcf129317101ee8d7e784fb6912"},"schema_version":"1.0","source":{"id":"2607.07752","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07752","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07752v1","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07752","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_12","alias_value":"ATJG7BEZBY6X","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_16","alias_value":"ATJG7BEZBY6XU2UJ","created_at":"2026-07-10T00:18:47Z"},{"alias_kind":"pith_short_8","alias_value":"ATJG7BEZ","created_at":"2026-07-10T00:18:47Z"}],"graph_snapshots":[{"event_id":"sha256:674cbbdea4e156de42a3e283bf16bd7cdfc1c3fa5a0f245ddbaf6d5ba9081552","target":"graph","created_at":"2026-07-10T00:18:47Z","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/2607.07752/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Event Horizon Telescope (EHT) has provided images of the supermassive black-holes Sgr A$^{*}$ and M87$^{*}$, enabling direct tests of gravity. Any extended mass-distribution, such as a dark-matter halo, perturbs null-geodesics in the photon-ring regime, making shadow-measurements a probe of inner-halo structure. In this work, we investigate static, spherically-symmetric black-holes surrounded by Einasto-type dark-matter halos and derive constraints from EHT shadow-data. Starting from the Einasto density-profile with parameters ${\\varrho_0, \\tilde{\\alpha}, \\tilde{\\nu}}$, we construct a metr","authors_text":"A. Errehymy, C. Hansraj, S. Hansraj","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T12:00:05Z","title":"Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07752","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":"sha256:6d2f5ad66f91f89167cf6b9ae1100dda49434a626a8b0bee491c3b5cc8917c25","target":"record","created_at":"2026-07-10T00:18:47Z","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":"7dc3429648489e74fb01bbf5c94e1945ee928a7fa09dbc094bd17b1c6dd59430","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-07-08T12:00:05Z","title_canon_sha256":"23a54974feedeab42294167a0a3893142f43bfcf129317101ee8d7e784fb6912"},"schema_version":"1.0","source":{"id":"2607.07752","kind":"arxiv","version":1}},"canonical_sha256":"04d26f84990e3d7a6a894c3f97b096a91e81ce0be3f49cade546b9a2469216cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04d26f84990e3d7a6a894c3f97b096a91e81ce0be3f49cade546b9a2469216cc","first_computed_at":"2026-07-10T00:18:47.896425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:18:47.896425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZS7Z8BpHk8P4tbFA8s6j6lGWGdFzZwc1pbibfKZ+IMdp9qa/dbGOMUNZcY5u00EvE56VdRjXP9xLwzFUH1d1Cg==","signature_status":"signed_v1","signed_at":"2026-07-10T00:18:47.896821Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07752","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d2f5ad66f91f89167cf6b9ae1100dda49434a626a8b0bee491c3b5cc8917c25","sha256:674cbbdea4e156de42a3e283bf16bd7cdfc1c3fa5a0f245ddbaf6d5ba9081552"],"state_sha256":"6fdf5f144a092932f155b84a19354a1568c1ef5ec4b037f725918f17937db449"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bABcpdeXnNMr8L9WnUCuIRrf6t9b+Zi1i5gEEY+KAQRt04fg1BBRIdjrFCRFRoSO0D0rVf0ktwfiwB0esv5PCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T22:24:19.340743Z","bundle_sha256":"36bce68a5710016855d596c4807cdffb4f4deed1c147e57415a3083516584b94"}}