{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MPY3EHKN7WZKOR32YTY6XJERGY","short_pith_number":"pith:MPY3EHKN","canonical_record":{"source":{"id":"1804.01536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-04T18:00:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"19bcf789366fb16260fd0338d3423413e27d50564a2705e76b6024fe122b64a5","abstract_canon_sha256":"797f8b3d676a1f6656b9d755b70ff95fdb9d4c4ecec3bfd0f382c9825a7fee24"},"schema_version":"1.0"},"canonical_sha256":"63f1b21d4dfdb2a7477ac4f1eba4913619726903c49a93827515018a2e6d89d1","source":{"kind":"arxiv","id":"1804.01536","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01536","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01536v1","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01536","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"MPY3EHKN7WZK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MPY3EHKN7WZKOR32","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MPY3EHKN","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MPY3EHKN7WZKOR32YTY6XJERGY","target":"record","payload":{"canonical_record":{"source":{"id":"1804.01536","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-04T18:00:02Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"19bcf789366fb16260fd0338d3423413e27d50564a2705e76b6024fe122b64a5","abstract_canon_sha256":"797f8b3d676a1f6656b9d755b70ff95fdb9d4c4ecec3bfd0f382c9825a7fee24"},"schema_version":"1.0"},"canonical_sha256":"63f1b21d4dfdb2a7477ac4f1eba4913619726903c49a93827515018a2e6d89d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:22.540999Z","signature_b64":"3frefGumrlyaDvWybPgdooo++n7St/56ytt32C4CJeth4h8tyqMolnYd7mCSmPCeetHuY6D3p64aOLo4bJXbBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63f1b21d4dfdb2a7477ac4f1eba4913619726903c49a93827515018a2e6d89d1","last_reissued_at":"2026-05-17T23:49:22.540528Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:22.540528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.01536","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":"2026-05-17T23:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xql78oA+dq3Mlyfv6Q4nDOtjgxulWfSRyMOOx94lImNugOXTk1KqYgckaUvZL5aUYExvmuyoQvQlIMBaTU84Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:50:14.706390Z"},"content_sha256":"a1cf66f6ac8b95926ba784288bbb433bff5478261e58db9cc66fedbe32ab13d2","schema_version":"1.0","event_id":"sha256:a1cf66f6ac8b95926ba784288bbb433bff5478261e58db9cc66fedbe32ab13d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MPY3EHKN7WZKOR32YTY6XJERGY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractonic line excitations : an inroad from 3d elasticity theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Michael Pretko, Shriya Pai","submitted_at":"2018-04-04T18:00:02Z","abstract_excerpt":"We demonstrate the existence of a fundamentally new type of excitation, fractonic lines, which are line-like excitations with the restricted mobility properties of fractons. These excitations, described using an amalgamation of higher-form gauge theories with symmetric tensor gauge theories, see direct physical realization as the topological lattice defects of ordinary three-dimensional quantum crystals. Starting with the more familiar elasticity theory, we show how it maps onto a rank-4 tensor gauge theory, with phonons corresponding to gapless gauge modes and disclination defects correspondi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01536","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":"2026-05-17T23:49:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ae7WbsSF79tfZFlRoiEHAJfKmd8Xs1RzBeY5FyGWhpMmxk+GU5aVwD8bw+au3Pb4GxN0iJNIdK8IXy7KHEfWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T13:50:14.706913Z"},"content_sha256":"e8c0aab4dd405f0edb88a12db4d98fb8a46a984e4b38b3753b93b0f41c2c8b4a","schema_version":"1.0","event_id":"sha256:e8c0aab4dd405f0edb88a12db4d98fb8a46a984e4b38b3753b93b0f41c2c8b4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MPY3EHKN7WZKOR32YTY6XJERGY/bundle.json","state_url":"https://pith.science/pith/MPY3EHKN7WZKOR32YTY6XJERGY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MPY3EHKN7WZKOR32YTY6XJERGY/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":"2026-08-15T13:50:14Z","links":{"resolver":"https://pith.science/pith/MPY3EHKN7WZKOR32YTY6XJERGY","bundle":"https://pith.science/pith/MPY3EHKN7WZKOR32YTY6XJERGY/bundle.json","state":"https://pith.science/pith/MPY3EHKN7WZKOR32YTY6XJERGY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MPY3EHKN7WZKOR32YTY6XJERGY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MPY3EHKN7WZKOR32YTY6XJERGY","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":"797f8b3d676a1f6656b9d755b70ff95fdb9d4c4ecec3bfd0f382c9825a7fee24","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-04T18:00:02Z","title_canon_sha256":"19bcf789366fb16260fd0338d3423413e27d50564a2705e76b6024fe122b64a5"},"schema_version":"1.0","source":{"id":"1804.01536","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01536","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01536v1","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01536","created_at":"2026-05-17T23:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"MPY3EHKN7WZK","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MPY3EHKN7WZKOR32","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MPY3EHKN","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:e8c0aab4dd405f0edb88a12db4d98fb8a46a984e4b38b3753b93b0f41c2c8b4a","target":"graph","created_at":"2026-05-17T23:49:22Z","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":"We demonstrate the existence of a fundamentally new type of excitation, fractonic lines, which are line-like excitations with the restricted mobility properties of fractons. These excitations, described using an amalgamation of higher-form gauge theories with symmetric tensor gauge theories, see direct physical realization as the topological lattice defects of ordinary three-dimensional quantum crystals. Starting with the more familiar elasticity theory, we show how it maps onto a rank-4 tensor gauge theory, with phonons corresponding to gapless gauge modes and disclination defects correspondi","authors_text":"Michael Pretko, Shriya Pai","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-04T18:00:02Z","title":"Fractonic line excitations : an inroad from 3d elasticity theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01536","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:a1cf66f6ac8b95926ba784288bbb433bff5478261e58db9cc66fedbe32ab13d2","target":"record","created_at":"2026-05-17T23:49:22Z","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":"797f8b3d676a1f6656b9d755b70ff95fdb9d4c4ecec3bfd0f382c9825a7fee24","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2018-04-04T18:00:02Z","title_canon_sha256":"19bcf789366fb16260fd0338d3423413e27d50564a2705e76b6024fe122b64a5"},"schema_version":"1.0","source":{"id":"1804.01536","kind":"arxiv","version":1}},"canonical_sha256":"63f1b21d4dfdb2a7477ac4f1eba4913619726903c49a93827515018a2e6d89d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63f1b21d4dfdb2a7477ac4f1eba4913619726903c49a93827515018a2e6d89d1","first_computed_at":"2026-05-17T23:49:22.540528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:22.540528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3frefGumrlyaDvWybPgdooo++n7St/56ytt32C4CJeth4h8tyqMolnYd7mCSmPCeetHuY6D3p64aOLo4bJXbBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:22.540999Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01536","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1cf66f6ac8b95926ba784288bbb433bff5478261e58db9cc66fedbe32ab13d2","sha256:e8c0aab4dd405f0edb88a12db4d98fb8a46a984e4b38b3753b93b0f41c2c8b4a"],"state_sha256":"0bcca386c5e6010b11794ea73ed160bdd691f2c6b5de52d0043cdf4334beacd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+0lFpfmjb2yqKuvxbP76n+4OQFwii1c09+MQRDugS1p/Np0II2T4MQF/KAbNcYnEVMAbyLUYr3HHtA2tcY0Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T13:50:14.711578Z","bundle_sha256":"a073d572a34aca76f879fdb3c046dc03a04f387aadd9d94a35b960f868f55f80"}}