{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:C3TG3W6RYSTGGPQRNZ4C5LRUU5","short_pith_number":"pith:C3TG3W6R","canonical_record":{"source":{"id":"1807.02459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-07-06T15:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"5a4bcbff95785eb439f9ed649829b9c383890e8337729994db078c1892c66483","abstract_canon_sha256":"756bc49cd85df8763179444bf927414241b9fa36e09f8e97db355958b0c8fe24"},"schema_version":"1.0"},"canonical_sha256":"16e66ddbd1c4a6633e116e782eae34a77e06e6d6a0895dcdbd3ddbb3db3ab1fd","source":{"kind":"arxiv","id":"1807.02459","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02459","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02459v1","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02459","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"C3TG3W6RYSTG","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C3TG3W6RYSTGGPQR","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C3TG3W6R","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:C3TG3W6RYSTGGPQRNZ4C5LRUU5","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-07-06T15:34:48Z","cross_cats_sorted":[],"title_canon_sha256":"5a4bcbff95785eb439f9ed649829b9c383890e8337729994db078c1892c66483","abstract_canon_sha256":"756bc49cd85df8763179444bf927414241b9fa36e09f8e97db355958b0c8fe24"},"schema_version":"1.0"},"canonical_sha256":"16e66ddbd1c4a6633e116e782eae34a77e06e6d6a0895dcdbd3ddbb3db3ab1fd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:21.956769Z","signature_b64":"7MPVRPdDmvNM/1dpQSM8mtPw+bbO9oIFkaVb+Twt0KM9up5El5jyCppT5ihl7Rz4XrkQxgkeoqBXRhYsoHzSCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16e66ddbd1c4a6633e116e782eae34a77e06e6d6a0895dcdbd3ddbb3db3ab1fd","last_reissued_at":"2026-05-18T00:11:21.956151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:21.956151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02459","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":"2026-05-18T00:11:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aSrkWCAlZ5mK0qlWPh2S0i7lSYnulxl+BFw2tqfMYlY+gHZhomHNc/Ue3KiyL2G6gOnqPfbkEOMeUkOjV9LYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:46:19.947783Z"},"content_sha256":"f99ff718b81c16eaaeab8032b7e33bab94f3bf21dd965f32fc0d6cae6c8953d1","schema_version":"1.0","event_id":"sha256:f99ff718b81c16eaaeab8032b7e33bab94f3bf21dd965f32fc0d6cae6c8953d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:C3TG3W6RYSTGGPQRNZ4C5LRUU5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discrete Scale Invariance in Topological Semimetals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Haiwen Liu, Hua Jiang, Robert Joynt, X. C. Xie, Ziqiang Wang","submitted_at":"2018-07-06T15:34:48Z","abstract_excerpt":"The discovery of Weyl and Dirac semimetals has produced a number of dramatic physical effects, including the chiral anomaly and topological Fermi arc surface states. We point out that a very different but no less dramatic physical effect is also to be found in these materials: discrete scale invariance. This invariance leads to bound state spectra for Coulomb impurities that repeat when the binding energy is changed by a fixed factor, reminiscent of fractal behavior. We show that this effect follows from the peculiar dispersion relation in Weyl and Dirac semimetals. It is observed when such a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02459","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":"2026-05-18T00:11:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1AjUn9xhQpKuIabAjbYN4+xWXP1hE0Ycxf8ldNpdufUDPjJm4JS+J8GGThzHJZN9YpIDJqvkjZrh0LOkQh8NBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:46:19.948444Z"},"content_sha256":"e060f2b5a83f7720cbbd9cd389e1a9a40aecaebff14dfd41b935982bf3914dbf","schema_version":"1.0","event_id":"sha256:e060f2b5a83f7720cbbd9cd389e1a9a40aecaebff14dfd41b935982bf3914dbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/bundle.json","state_url":"https://pith.science/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/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":"2026-05-26T15:46:19Z","links":{"resolver":"https://pith.science/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5","bundle":"https://pith.science/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/bundle.json","state":"https://pith.science/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3TG3W6RYSTGGPQRNZ4C5LRUU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C3TG3W6RYSTGGPQRNZ4C5LRUU5","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":"756bc49cd85df8763179444bf927414241b9fa36e09f8e97db355958b0c8fe24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-07-06T15:34:48Z","title_canon_sha256":"5a4bcbff95785eb439f9ed649829b9c383890e8337729994db078c1892c66483"},"schema_version":"1.0","source":{"id":"1807.02459","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02459","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02459v1","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02459","created_at":"2026-05-18T00:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"C3TG3W6RYSTG","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C3TG3W6RYSTGGPQR","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C3TG3W6R","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:e060f2b5a83f7720cbbd9cd389e1a9a40aecaebff14dfd41b935982bf3914dbf","target":"graph","created_at":"2026-05-18T00:11:21Z","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":"The discovery of Weyl and Dirac semimetals has produced a number of dramatic physical effects, including the chiral anomaly and topological Fermi arc surface states. We point out that a very different but no less dramatic physical effect is also to be found in these materials: discrete scale invariance. This invariance leads to bound state spectra for Coulomb impurities that repeat when the binding energy is changed by a fixed factor, reminiscent of fractal behavior. We show that this effect follows from the peculiar dispersion relation in Weyl and Dirac semimetals. It is observed when such a ","authors_text":"Haiwen Liu, Hua Jiang, Robert Joynt, X. C. Xie, Ziqiang Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-07-06T15:34:48Z","title":"Discrete Scale Invariance in Topological Semimetals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02459","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:f99ff718b81c16eaaeab8032b7e33bab94f3bf21dd965f32fc0d6cae6c8953d1","target":"record","created_at":"2026-05-18T00:11:21Z","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":"756bc49cd85df8763179444bf927414241b9fa36e09f8e97db355958b0c8fe24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2018-07-06T15:34:48Z","title_canon_sha256":"5a4bcbff95785eb439f9ed649829b9c383890e8337729994db078c1892c66483"},"schema_version":"1.0","source":{"id":"1807.02459","kind":"arxiv","version":1}},"canonical_sha256":"16e66ddbd1c4a6633e116e782eae34a77e06e6d6a0895dcdbd3ddbb3db3ab1fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16e66ddbd1c4a6633e116e782eae34a77e06e6d6a0895dcdbd3ddbb3db3ab1fd","first_computed_at":"2026-05-18T00:11:21.956151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:21.956151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7MPVRPdDmvNM/1dpQSM8mtPw+bbO9oIFkaVb+Twt0KM9up5El5jyCppT5ihl7Rz4XrkQxgkeoqBXRhYsoHzSCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:21.956769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02459","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f99ff718b81c16eaaeab8032b7e33bab94f3bf21dd965f32fc0d6cae6c8953d1","sha256:e060f2b5a83f7720cbbd9cd389e1a9a40aecaebff14dfd41b935982bf3914dbf"],"state_sha256":"eafb06f5503daf74a4575bf62d7cc17b32ff309fc1f4b317c5da3a2f91e225d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D+JYSYmBxNxV92Z7/8reKYzt8XRkXMEFpTZmf7g/YpEjrat7RWmp8zwokmYK/gy9XMgzT4yyW+iF6A1xIn1CAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:46:19.951874Z","bundle_sha256":"27488c87255443d3b4b3874b4bf06f368e7665cb5e2f8736cbdb38a6c4c32717"}}