{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA","short_pith_number":"pith:WVZJ5QEY","canonical_record":{"source":{"id":"1405.1854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-05-08T09:37:56Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"e4207219efd6a0e6a4c7bfe08ee652acb6cce88e6401789f383e8ebf1b67dc4e","abstract_canon_sha256":"688fe3efb33c00263dec2ab9540d9f1b408359dcee0d8aa68ca69d9831f4e88c"},"schema_version":"1.0"},"canonical_sha256":"b5729ec09816b3715199e6486115e160077417a029113d597284d5a62eca9d88","source":{"kind":"arxiv","id":"1405.1854","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1854","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1854v2","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1854","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"WVZJ5QEYC2ZX","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WVZJ5QEYC2ZXCUMZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WVZJ5QEY","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA","target":"record","payload":{"canonical_record":{"source":{"id":"1405.1854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-05-08T09:37:56Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"e4207219efd6a0e6a4c7bfe08ee652acb6cce88e6401789f383e8ebf1b67dc4e","abstract_canon_sha256":"688fe3efb33c00263dec2ab9540d9f1b408359dcee0d8aa68ca69d9831f4e88c"},"schema_version":"1.0"},"canonical_sha256":"b5729ec09816b3715199e6486115e160077417a029113d597284d5a62eca9d88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:38.757457Z","signature_b64":"8NsXf+M2Vhlf9uafYUhQnnjj/PXSnBAdeotAh9fTVP5bvuPN2eLBKtlc+f++Z3+ETzdeXc+4i3iYItjXxoM8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5729ec09816b3715199e6486115e160077417a029113d597284d5a62eca9d88","last_reissued_at":"2026-05-18T02:32:38.756990Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:38.756990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.1854","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":"2026-05-18T02:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RAl9O2uAt5mV/zcLjL/FtGssFVIrCe9uU/+GY3riviYaTW6N76cIJj9faymzYx+EqJGCagOB25mAQk/+PNxhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:38:56.868226Z"},"content_sha256":"663e5e58ae1d6625e8fd3b47d8e001046925533bbd693f0f847bbd99a5cb4dbb","schema_version":"1.0","event_id":"sha256:663e5e58ae1d6625e8fd3b47d8e001046925533bbd693f0f847bbd99a5cb4dbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solitonic description of interface profiles in competition models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"physics.bio-ph","authors_text":"J. Menezes, L. Losano, T. Azevedo","submitted_at":"2014-05-08T09:37:56Z","abstract_excerpt":"We consider systems with two competing species whose actions are completely symmetric, with same mobility, reproduction and competition rates. Numerical implementations of the model in two and three-dimensional space show that regions of single species are formed by spontaneous symmetry breaking. We propose a theoretical formalism for describing the static profile of the interfaces of empty spaces separating domains with different species. We compute the topological properties of the interfaces and show that these theoretical functions are useful to the understanding of the dynamics of the net"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1854","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":"2026-05-18T02:32:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"og9TsdKvn8DcQ52BreHKWvq1ouM3kQLXQQ6PN5x4tBgmom1Sa8TJ9yr4wMlKgdOeJFW/x+xrka+nt6fKHEe+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T02:38:56.868998Z"},"content_sha256":"a1644dabad018295248eff851ae22a653baabc78dca0ea2e4eb99f095a8e660d","schema_version":"1.0","event_id":"sha256:a1644dabad018295248eff851ae22a653baabc78dca0ea2e4eb99f095a8e660d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/bundle.json","state_url":"https://pith.science/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/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":"2026-05-30T02:38:56Z","links":{"resolver":"https://pith.science/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA","bundle":"https://pith.science/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/bundle.json","state":"https://pith.science/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WVZJ5QEYC2ZXCUMZ4ZEGCFPBMA","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":"688fe3efb33c00263dec2ab9540d9f1b408359dcee0d8aa68ca69d9831f4e88c","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-05-08T09:37:56Z","title_canon_sha256":"e4207219efd6a0e6a4c7bfe08ee652acb6cce88e6401789f383e8ebf1b67dc4e"},"schema_version":"1.0","source":{"id":"1405.1854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1854","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1854v2","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1854","created_at":"2026-05-18T02:32:38Z"},{"alias_kind":"pith_short_12","alias_value":"WVZJ5QEYC2ZX","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WVZJ5QEYC2ZXCUMZ","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WVZJ5QEY","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:a1644dabad018295248eff851ae22a653baabc78dca0ea2e4eb99f095a8e660d","target":"graph","created_at":"2026-05-18T02:32:38Z","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 consider systems with two competing species whose actions are completely symmetric, with same mobility, reproduction and competition rates. Numerical implementations of the model in two and three-dimensional space show that regions of single species are formed by spontaneous symmetry breaking. We propose a theoretical formalism for describing the static profile of the interfaces of empty spaces separating domains with different species. We compute the topological properties of the interfaces and show that these theoretical functions are useful to the understanding of the dynamics of the net","authors_text":"J. Menezes, L. Losano, T. Azevedo","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-05-08T09:37:56Z","title":"Solitonic description of interface profiles in competition models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1854","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":"sha256:663e5e58ae1d6625e8fd3b47d8e001046925533bbd693f0f847bbd99a5cb4dbb","target":"record","created_at":"2026-05-18T02:32:38Z","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":"688fe3efb33c00263dec2ab9540d9f1b408359dcee0d8aa68ca69d9831f4e88c","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2014-05-08T09:37:56Z","title_canon_sha256":"e4207219efd6a0e6a4c7bfe08ee652acb6cce88e6401789f383e8ebf1b67dc4e"},"schema_version":"1.0","source":{"id":"1405.1854","kind":"arxiv","version":2}},"canonical_sha256":"b5729ec09816b3715199e6486115e160077417a029113d597284d5a62eca9d88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5729ec09816b3715199e6486115e160077417a029113d597284d5a62eca9d88","first_computed_at":"2026-05-18T02:32:38.756990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:38.756990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8NsXf+M2Vhlf9uafYUhQnnjj/PXSnBAdeotAh9fTVP5bvuPN2eLBKtlc+f++Z3+ETzdeXc+4i3iYItjXxoM8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:38.757457Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:663e5e58ae1d6625e8fd3b47d8e001046925533bbd693f0f847bbd99a5cb4dbb","sha256:a1644dabad018295248eff851ae22a653baabc78dca0ea2e4eb99f095a8e660d"],"state_sha256":"8225a846da001b5baffb0898ff47f8891090068918e1ae48dc52963062221529"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4M07mpuh1XapbZn/CGSlm8MO3M3ttX1GBw9TdsK8l8ihZqNE9zcEGfqhHKWXGw+W9/yHtAzoBcTYfP15WPugDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T02:38:56.872775Z","bundle_sha256":"2715c4a632b38faa6c0969e02a97ce0f807290251b409388db37f3090beb1ab0"}}