{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:62TCV7JGLRVDXLBB2HG2KESWUI","short_pith_number":"pith:62TCV7JG","canonical_record":{"source":{"id":"1703.10673","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:59:15Z","cross_cats_sorted":[],"title_canon_sha256":"43334a289180a265233069f649f3e5954d4470fa92ee64d1674a02f634907bcc","abstract_canon_sha256":"0d29151ea66318d375f3bed36d8d72c0c0c09ad1cd78c3ee473923c027ed438d"},"schema_version":"1.0"},"canonical_sha256":"f6a62afd265c6a3bac21d1cda51256a205a5de7c27ecfbb47379ccffe0a8bf38","source":{"kind":"arxiv","id":"1703.10673","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10673","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10673v2","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10673","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"pith_short_12","alias_value":"62TCV7JGLRVD","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"62TCV7JGLRVDXLBB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"62TCV7JG","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:62TCV7JGLRVDXLBB2HG2KESWUI","target":"record","payload":{"canonical_record":{"source":{"id":"1703.10673","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:59:15Z","cross_cats_sorted":[],"title_canon_sha256":"43334a289180a265233069f649f3e5954d4470fa92ee64d1674a02f634907bcc","abstract_canon_sha256":"0d29151ea66318d375f3bed36d8d72c0c0c09ad1cd78c3ee473923c027ed438d"},"schema_version":"1.0"},"canonical_sha256":"f6a62afd265c6a3bac21d1cda51256a205a5de7c27ecfbb47379ccffe0a8bf38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:34.083040Z","signature_b64":"PSwN6sFJD1coujqihGbMa1KkPzKK4bNdD9D2h99K56wlvmXUqtiGHg69hw+nW/fq4URoEaMgNsBb65tZ+FUOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6a62afd265c6a3bac21d1cda51256a205a5de7c27ecfbb47379ccffe0a8bf38","last_reissued_at":"2026-05-18T00:37:34.082580Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:34.082580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.10673","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:37:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wibfLl8AIrrLtG/AbF+oF07PWmDTRUPI/sQ5cb5ZQh1GXkpQK4mpRAFBu5hGUYr6rrVJ3b/TatCWJw0tFebvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:29:55.013500Z"},"content_sha256":"2fb13551a10f9bd3d7faa40561c2a392db959a65105e99c4242f6a77d518dff2","schema_version":"1.0","event_id":"sha256:2fb13551a10f9bd3d7faa40561c2a392db959a65105e99c4242f6a77d518dff2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:62TCV7JGLRVDXLBB2HG2KESWUI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crystal structures in generalized Skyrme model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ilya Perapechka, Yakov Shnir","submitted_at":"2017-03-30T20:59:15Z","abstract_excerpt":"We investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model $\\mathcal{L}_6 + \\mathcal{L}_4 + \\mathcal{L}_2+ \\mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different symmetry breaking potential terms $\\mathcal{L}_0$ are considered, the generalized pion mass term, double vacuum potential and mixed potential. Various scenario of phase transitions from the low density phase to the high density phase are examined for different choices of the parameters of the model. In particular, we investigated limiting behavior of the Skyrme crystals in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10673","kind":"arxiv","version":2},"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":"2026-05-18T00:37:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzP1fSzSLLIlYAAyOdYseDwBDDIuOa63Hd28a0XN1Ha2hPsAFl+RvTzO/s/0raL7ZxCrfmfBI7NTbEaH9uRODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T01:29:55.013847Z"},"content_sha256":"a86a3f38c12783799a3929e5c39b902e06acb196a883d13f83008ef7448f51ed","schema_version":"1.0","event_id":"sha256:a86a3f38c12783799a3929e5c39b902e06acb196a883d13f83008ef7448f51ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/62TCV7JGLRVDXLBB2HG2KESWUI/bundle.json","state_url":"https://pith.science/pith/62TCV7JGLRVDXLBB2HG2KESWUI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/62TCV7JGLRVDXLBB2HG2KESWUI/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":"2026-07-02T01:29:55Z","links":{"resolver":"https://pith.science/pith/62TCV7JGLRVDXLBB2HG2KESWUI","bundle":"https://pith.science/pith/62TCV7JGLRVDXLBB2HG2KESWUI/bundle.json","state":"https://pith.science/pith/62TCV7JGLRVDXLBB2HG2KESWUI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/62TCV7JGLRVDXLBB2HG2KESWUI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:62TCV7JGLRVDXLBB2HG2KESWUI","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":"0d29151ea66318d375f3bed36d8d72c0c0c09ad1cd78c3ee473923c027ed438d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:59:15Z","title_canon_sha256":"43334a289180a265233069f649f3e5954d4470fa92ee64d1674a02f634907bcc"},"schema_version":"1.0","source":{"id":"1703.10673","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10673","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10673v2","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10673","created_at":"2026-05-18T00:37:34Z"},{"alias_kind":"pith_short_12","alias_value":"62TCV7JGLRVD","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"62TCV7JGLRVDXLBB","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"62TCV7JG","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:a86a3f38c12783799a3929e5c39b902e06acb196a883d13f83008ef7448f51ed","target":"graph","created_at":"2026-05-18T00:37:34Z","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 investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model $\\mathcal{L}_6 + \\mathcal{L}_4 + \\mathcal{L}_2+ \\mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different symmetry breaking potential terms $\\mathcal{L}_0$ are considered, the generalized pion mass term, double vacuum potential and mixed potential. Various scenario of phase transitions from the low density phase to the high density phase are examined for different choices of the parameters of the model. In particular, we investigated limiting behavior of the Skyrme crystals in ","authors_text":"Ilya Perapechka, Yakov Shnir","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:59:15Z","title":"Crystal structures in generalized Skyrme model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10673","kind":"arxiv","version":2},"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":"sha256:2fb13551a10f9bd3d7faa40561c2a392db959a65105e99c4242f6a77d518dff2","target":"record","created_at":"2026-05-18T00:37:34Z","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":"0d29151ea66318d375f3bed36d8d72c0c0c09ad1cd78c3ee473923c027ed438d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T20:59:15Z","title_canon_sha256":"43334a289180a265233069f649f3e5954d4470fa92ee64d1674a02f634907bcc"},"schema_version":"1.0","source":{"id":"1703.10673","kind":"arxiv","version":2}},"canonical_sha256":"f6a62afd265c6a3bac21d1cda51256a205a5de7c27ecfbb47379ccffe0a8bf38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6a62afd265c6a3bac21d1cda51256a205a5de7c27ecfbb47379ccffe0a8bf38","first_computed_at":"2026-05-18T00:37:34.082580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:34.082580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PSwN6sFJD1coujqihGbMa1KkPzKK4bNdD9D2h99K56wlvmXUqtiGHg69hw+nW/fq4URoEaMgNsBb65tZ+FUOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:34.083040Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10673","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fb13551a10f9bd3d7faa40561c2a392db959a65105e99c4242f6a77d518dff2","sha256:a86a3f38c12783799a3929e5c39b902e06acb196a883d13f83008ef7448f51ed"],"state_sha256":"3e087d8ad3a3a1105ead30de7c32db1d6b5fcd33f4e970f9f57b3f83cdb57ca9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9t1iKLXvK7TKP2wzJVxHoW+ok9JptdKeUpjZg0ewM4cXMxBxI20y9pSIs39GcpKgkb76l/r9QFGCAApWD8gIAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T01:29:55.015786Z","bundle_sha256":"624d3eb7f64048317aa6932b2b18e502655582fc1dcfcadb6cbe0f7242de2f82"}}