{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7WA2M6N3FQYSRJAY64TAXSRJCJ","short_pith_number":"pith:7WA2M6N3","canonical_record":{"source":{"id":"1209.3537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-17T01:19:51Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"f99492ebf67ea1e481597c3fd09ae7850d5e57ebf9d5d233e66664d15ffbe8c2","abstract_canon_sha256":"24df51a4d59456f10390e6b99a9034cb9780471e4119e1e389268bb83163a135"},"schema_version":"1.0"},"canonical_sha256":"fd81a679bb2c3128a418f7260bca29126de7c776be3f5c2951e0158dcded0808","source":{"kind":"arxiv","id":"1209.3537","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3537","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3537v1","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3537","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"7WA2M6N3FQYS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7WA2M6N3FQYSRJAY","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7WA2M6N3","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7WA2M6N3FQYSRJAY64TAXSRJCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1209.3537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-17T01:19:51Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"title_canon_sha256":"f99492ebf67ea1e481597c3fd09ae7850d5e57ebf9d5d233e66664d15ffbe8c2","abstract_canon_sha256":"24df51a4d59456f10390e6b99a9034cb9780471e4119e1e389268bb83163a135"},"schema_version":"1.0"},"canonical_sha256":"fd81a679bb2c3128a418f7260bca29126de7c776be3f5c2951e0158dcded0808","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:51.889071Z","signature_b64":"uFz+vHab9+UW0koU2F3UAGLhZGmoul/5zkTFvpocaNb/tDw/+5/XJwq2XgphskhCB0/e0nBRJ/GLxxYgceExCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd81a679bb2c3128a418f7260bca29126de7c776be3f5c2951e0158dcded0808","last_reissued_at":"2026-05-18T03:06:51.888540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:51.888540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.3537","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":"2026-05-18T03:06:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fBiP+lI2bG5Azfsh2PwT4PVRSsBhx3VQzYIPUaL7Nim5MM81bELSm2dfz9hMpbEE67+JePIoTE1X/KO8hxhCAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:37:57.681543Z"},"content_sha256":"5a5103058ac667d4a2f9011bf434022ae744c11e998b51e282462b5596e693a9","schema_version":"1.0","event_id":"sha256:5a5103058ac667d4a2f9011bf434022ae744c11e998b51e282462b5596e693a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7WA2M6N3FQYSRJAY64TAXSRJCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Traveling and resting crystals in active systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Andreas M. Menzel, Hartmut L\\\"owen","submitted_at":"2012-09-17T01:19:51Z","abstract_excerpt":"A microscopic field theory for crystallization in active systems is proposed which unifies the phase-field-crystal model of freezing with the Toner-Tu theory for self-propelled particles. A wealth of different active crystalline states are predicted and characterized. In particular, for increasing strength of self-propulsion, a transition from a resting crystal to a traveling crystalline state is found where the particles migrate collectively while keeping their crystalline order. Our predictions, which are verifiable in experiments and in particle-resolved computer simulations, provide a star"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3537","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":"2026-05-18T03:06:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5YM0eywUzpt4qd/hpdmoU7t3Wjq66Cr4khsHEvRm2YSwu1PXUjLBxT9ofOTxIxUJuKos1IhztNnLY2Nr6YSDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:37:57.681893Z"},"content_sha256":"610ca489bd7ea870c222126fadf3f62f42b2789224b6d1020a7e8f22f805cedb","schema_version":"1.0","event_id":"sha256:610ca489bd7ea870c222126fadf3f62f42b2789224b6d1020a7e8f22f805cedb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/bundle.json","state_url":"https://pith.science/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/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":"2026-06-02T00:37:57Z","links":{"resolver":"https://pith.science/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ","bundle":"https://pith.science/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/bundle.json","state":"https://pith.science/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7WA2M6N3FQYSRJAY64TAXSRJCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7WA2M6N3FQYSRJAY64TAXSRJCJ","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":"24df51a4d59456f10390e6b99a9034cb9780471e4119e1e389268bb83163a135","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-17T01:19:51Z","title_canon_sha256":"f99492ebf67ea1e481597c3fd09ae7850d5e57ebf9d5d233e66664d15ffbe8c2"},"schema_version":"1.0","source":{"id":"1209.3537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3537","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3537v1","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3537","created_at":"2026-05-18T03:06:51Z"},{"alias_kind":"pith_short_12","alias_value":"7WA2M6N3FQYS","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7WA2M6N3FQYSRJAY","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7WA2M6N3","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:610ca489bd7ea870c222126fadf3f62f42b2789224b6d1020a7e8f22f805cedb","target":"graph","created_at":"2026-05-18T03:06:51Z","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":"A microscopic field theory for crystallization in active systems is proposed which unifies the phase-field-crystal model of freezing with the Toner-Tu theory for self-propelled particles. A wealth of different active crystalline states are predicted and characterized. In particular, for increasing strength of self-propulsion, a transition from a resting crystal to a traveling crystalline state is found where the particles migrate collectively while keeping their crystalline order. Our predictions, which are verifiable in experiments and in particle-resolved computer simulations, provide a star","authors_text":"Andreas M. Menzel, Hartmut L\\\"owen","cross_cats":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-17T01:19:51Z","title":"Traveling and resting crystals in active systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3537","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":"sha256:5a5103058ac667d4a2f9011bf434022ae744c11e998b51e282462b5596e693a9","target":"record","created_at":"2026-05-18T03:06:51Z","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":"24df51a4d59456f10390e6b99a9034cb9780471e4119e1e389268bb83163a135","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-09-17T01:19:51Z","title_canon_sha256":"f99492ebf67ea1e481597c3fd09ae7850d5e57ebf9d5d233e66664d15ffbe8c2"},"schema_version":"1.0","source":{"id":"1209.3537","kind":"arxiv","version":1}},"canonical_sha256":"fd81a679bb2c3128a418f7260bca29126de7c776be3f5c2951e0158dcded0808","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd81a679bb2c3128a418f7260bca29126de7c776be3f5c2951e0158dcded0808","first_computed_at":"2026-05-18T03:06:51.888540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:51.888540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uFz+vHab9+UW0koU2F3UAGLhZGmoul/5zkTFvpocaNb/tDw/+5/XJwq2XgphskhCB0/e0nBRJ/GLxxYgceExCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:51.889071Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a5103058ac667d4a2f9011bf434022ae744c11e998b51e282462b5596e693a9","sha256:610ca489bd7ea870c222126fadf3f62f42b2789224b6d1020a7e8f22f805cedb"],"state_sha256":"bd6c265298fb6403e5ef01901a4cf9751c91d2ecdb842411b8fbedf3a3d7ec8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I4WxqD0l5XgqXW1RA/Dn1RbX5nXBzr8i2eSs6ev/Nb0zoKEhQ916eNGTMATUlmwM2Ffp3m4CzQknZSpnZW+lBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:37:57.683842Z","bundle_sha256":"21c1a30b4bdae5070ad381812c0c50470b80c5aed05e0fa6047f8d21349f5e92"}}