{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:WNMT6K3V2NXHLZNX3PIGMXG5PT","short_pith_number":"pith:WNMT6K3V","canonical_record":{"source":{"id":"2205.04448","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-05-09T17:51:44Z","cross_cats_sorted":["astro-ph.SR","cs.NA"],"title_canon_sha256":"0835352abd953d869af0b4709a792236e8d844dda41071291ac3426c42623e62","abstract_canon_sha256":"a2938edcc54fda4cd04c8b60b5c2d1d49ed8988d22a71f361926b6fa788ae823"},"schema_version":"1.0"},"canonical_sha256":"b3593f2b75d36e75e5b7dbd0665cdd7cfc0758dca96b025b7a63bbbdf040790c","source":{"kind":"arxiv","id":"2205.04448","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04448","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04448v1","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04448","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_12","alias_value":"WNMT6K3V2NXH","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"WNMT6K3V2NXHLZNX","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"WNMT6K3V","created_at":"2026-07-05T04:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:WNMT6K3V2NXHLZNX3PIGMXG5PT","target":"record","payload":{"canonical_record":{"source":{"id":"2205.04448","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-05-09T17:51:44Z","cross_cats_sorted":["astro-ph.SR","cs.NA"],"title_canon_sha256":"0835352abd953d869af0b4709a792236e8d844dda41071291ac3426c42623e62","abstract_canon_sha256":"a2938edcc54fda4cd04c8b60b5c2d1d49ed8988d22a71f361926b6fa788ae823"},"schema_version":"1.0"},"canonical_sha256":"b3593f2b75d36e75e5b7dbd0665cdd7cfc0758dca96b025b7a63bbbdf040790c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:31:39.351305Z","signature_b64":"pzlI61Vip9EffBt7TDDXVFwcWhRYuBHgzVwRqSiCyBXL5CwTuX0hA6xOE7ZulshksR5sdu188cjLkvc5QJq/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3593f2b75d36e75e5b7dbd0665cdd7cfc0758dca96b025b7a63bbbdf040790c","last_reissued_at":"2026-07-05T04:31:39.350789Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:31:39.350789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.04448","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":"2026-07-05T04:31:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jbrGNpP2CA4TBPLQX3kVgMhx4Z8E8r6zlMEvttyHG0620DyVdga5J/s9HCW6oHh2WK8Z9XNDRJDctF2t/GeWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:47:53.678732Z"},"content_sha256":"2964144636cea8c869eeac1cefa06918a6a311d3c84def1e3c4aaf06501a8031","schema_version":"1.0","event_id":"sha256:2964144636cea8c869eeac1cefa06918a6a311d3c84def1e3c4aaf06501a8031"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:WNMT6K3V2NXHLZNX3PIGMXG5PT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.SR","cs.NA"],"primary_cat":"math.NA","authors_text":"Eirik Endeve, Weijie Zhang, Yulong Xing","submitted_at":"2022-05-09T17:51:44Z","abstract_excerpt":"This paper presents high-order Runge-Kutta (RK) discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. The scheme can preserve a general polytropic equilibrium state and achieve total energy conservation up to machine precision with carefully designed spatial and temporal discretizations. To achieve the well-balanced property, the numerical solutions are decomposed into equilibrium and fluctuation components which are treated differently in the source term approximation. One non-trivial challenge encountered in the procedure is the complexity of the equilibrium s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04448","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/2205.04448/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":"2026-07-05T04:31:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E09XY5rh5sRXUPfx/DYS/stmZf+8F8n5N67rUJRYkSLIusQU9xN0yML3Foc+If0K4CgKqdtacc+mtJBJcKk9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:47:53.679513Z"},"content_sha256":"c9902c55ccb18ad6de6977e09cee19b29e1ac6c4d777c4ca3e5eeb63d751d969","schema_version":"1.0","event_id":"sha256:c9902c55ccb18ad6de6977e09cee19b29e1ac6c4d777c4ca3e5eeb63d751d969"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/bundle.json","state_url":"https://pith.science/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/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":"2026-08-11T03:47:53Z","links":{"resolver":"https://pith.science/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT","bundle":"https://pith.science/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/bundle.json","state":"https://pith.science/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WNMT6K3V2NXHLZNX3PIGMXG5PT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:WNMT6K3V2NXHLZNX3PIGMXG5PT","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":"a2938edcc54fda4cd04c8b60b5c2d1d49ed8988d22a71f361926b6fa788ae823","cross_cats_sorted":["astro-ph.SR","cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-05-09T17:51:44Z","title_canon_sha256":"0835352abd953d869af0b4709a792236e8d844dda41071291ac3426c42623e62"},"schema_version":"1.0","source":{"id":"2205.04448","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.04448","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"arxiv_version","alias_value":"2205.04448v1","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.04448","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_12","alias_value":"WNMT6K3V2NXH","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"WNMT6K3V2NXHLZNX","created_at":"2026-07-05T04:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"WNMT6K3V","created_at":"2026-07-05T04:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:c9902c55ccb18ad6de6977e09cee19b29e1ac6c4d777c4ca3e5eeb63d751d969","target":"graph","created_at":"2026-07-05T04:31:39Z","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/2205.04448/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents high-order Runge-Kutta (RK) discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry. The scheme can preserve a general polytropic equilibrium state and achieve total energy conservation up to machine precision with carefully designed spatial and temporal discretizations. To achieve the well-balanced property, the numerical solutions are decomposed into equilibrium and fluctuation components which are treated differently in the source term approximation. One non-trivial challenge encountered in the procedure is the complexity of the equilibrium s","authors_text":"Eirik Endeve, Weijie Zhang, Yulong Xing","cross_cats":["astro-ph.SR","cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-05-09T17:51:44Z","title":"Energy conserving and well-balanced discontinuous Galerkin methods for the Euler-Poisson equations in spherical symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04448","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":"sha256:2964144636cea8c869eeac1cefa06918a6a311d3c84def1e3c4aaf06501a8031","target":"record","created_at":"2026-07-05T04:31:39Z","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":"a2938edcc54fda4cd04c8b60b5c2d1d49ed8988d22a71f361926b6fa788ae823","cross_cats_sorted":["astro-ph.SR","cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2022-05-09T17:51:44Z","title_canon_sha256":"0835352abd953d869af0b4709a792236e8d844dda41071291ac3426c42623e62"},"schema_version":"1.0","source":{"id":"2205.04448","kind":"arxiv","version":1}},"canonical_sha256":"b3593f2b75d36e75e5b7dbd0665cdd7cfc0758dca96b025b7a63bbbdf040790c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3593f2b75d36e75e5b7dbd0665cdd7cfc0758dca96b025b7a63bbbdf040790c","first_computed_at":"2026-07-05T04:31:39.350789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:31:39.350789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pzlI61Vip9EffBt7TDDXVFwcWhRYuBHgzVwRqSiCyBXL5CwTuX0hA6xOE7ZulshksR5sdu188cjLkvc5QJq/Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:31:39.351305Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.04448","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2964144636cea8c869eeac1cefa06918a6a311d3c84def1e3c4aaf06501a8031","sha256:c9902c55ccb18ad6de6977e09cee19b29e1ac6c4d777c4ca3e5eeb63d751d969"],"state_sha256":"47ffee152e80616d8e96485b175ead68f9dd7f4394a4b08279a58fb2974521bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eyTTzlpsxsPNmbO45J72wyf4KyZ5Tk8MrwQiCYCJ/vnZHmScvyZHYHvBsRkT8NHWOUvr/6gGBtu8nyWTsdIaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T03:47:53.685225Z","bundle_sha256":"0cb53c8cfeae4e8d1208a6fd9f3840a2adda262f48783e581c2039281d78ef19"}}