{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PER7CVW3H656OXUIT3PF5VXQJV","short_pith_number":"pith:PER7CVW3","canonical_record":{"source":{"id":"1502.04775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-02-17T02:28:03Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"59aa08097b19b1cfcb8f05b7b763c7cd9168ad6f39fc8f6308aeaa5ea0ff4643","abstract_canon_sha256":"f1746d1901fa4e8897ed5d827f05c4936a41c6bb6a1c800f32031e8e5c47cca8"},"schema_version":"1.0"},"canonical_sha256":"7923f156db3fbbe75e889ede5ed6f04d575068feabb8c2816b1bce6bdf4058ff","source":{"kind":"arxiv","id":"1502.04775","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04775","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04775v1","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04775","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"pith_short_12","alias_value":"PER7CVW3H656","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PER7CVW3H656OXUI","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PER7CVW3","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PER7CVW3H656OXUIT3PF5VXQJV","target":"record","payload":{"canonical_record":{"source":{"id":"1502.04775","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-02-17T02:28:03Z","cross_cats_sorted":["cs.PL"],"title_canon_sha256":"59aa08097b19b1cfcb8f05b7b763c7cd9168ad6f39fc8f6308aeaa5ea0ff4643","abstract_canon_sha256":"f1746d1901fa4e8897ed5d827f05c4936a41c6bb6a1c800f32031e8e5c47cca8"},"schema_version":"1.0"},"canonical_sha256":"7923f156db3fbbe75e889ede5ed6f04d575068feabb8c2816b1bce6bdf4058ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:58.351911Z","signature_b64":"cAEzauBc5QDDYDq34Fb82tl45im1oa74N5ATg0bWpK/SsNXKIDXT01QUPBPWewKjbYQIp3jMYjYye7FTPHptAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7923f156db3fbbe75e889ede5ed6f04d575068feabb8c2816b1bce6bdf4058ff","last_reissued_at":"2026-05-18T02:26:58.351400Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:58.351400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.04775","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":"2026-05-18T02:26:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A7E2RsrZ5M8FpxdVEKU/FXSLy2101N96oMoSWrIcjtVulojnQFezw9MKfnwI300DSWqAmEt2yOFmV5wCnBRbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:39:23.899553Z"},"content_sha256":"3067fdabcc7219be3f8501ef44826a4f56771c9f69d239cc2b1caadcac3cc978","schema_version":"1.0","event_id":"sha256:3067fdabcc7219be3f8501ef44826a4f56771c9f69d239cc2b1caadcac3cc978"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PER7CVW3H656OXUIT3PF5VXQJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of Resource Interaction - A Minimalist Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.PL"],"primary_cat":"cs.LO","authors_text":"Bologna, CNRS -- DISI, INRIA), Marco Solieri (LIPN, Paris 13, Sorbonne Paris Cit\\'e","submitted_at":"2015-02-17T02:28:03Z","abstract_excerpt":"The Resource $\\lambda$-calculus is a variation of the $\\lambda$-calculus where arguments can be superposed and must be linearly used. Hence it is a model for linear and non-deterministic programming languages, and the target language of Ehrhard-Taylor expansion of $\\lambda$-terms. In a strictly typed restriction of the Resource $\\lambda$-calculus, we study the notion of path persistence, and we define a Geometry of Interaction that characterises it, is invariant under reduction, and counts addends in normal forms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04775","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":"2026-05-18T02:26:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qAIOFY7MNWyYBCNa/4pV3amit6q9wEviej0/wHHu7+AXqGLuuIdra3e+92D/irvX3LU3G8ZXJ0PPLBY1ckBPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:39:23.899909Z"},"content_sha256":"284a9eb67455b3bcf736a64cce8fca3cfe6a4ecc9736f2b290a8795ba7e61add","schema_version":"1.0","event_id":"sha256:284a9eb67455b3bcf736a64cce8fca3cfe6a4ecc9736f2b290a8795ba7e61add"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PER7CVW3H656OXUIT3PF5VXQJV/bundle.json","state_url":"https://pith.science/pith/PER7CVW3H656OXUIT3PF5VXQJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PER7CVW3H656OXUIT3PF5VXQJV/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":"2026-06-03T05:39:23Z","links":{"resolver":"https://pith.science/pith/PER7CVW3H656OXUIT3PF5VXQJV","bundle":"https://pith.science/pith/PER7CVW3H656OXUIT3PF5VXQJV/bundle.json","state":"https://pith.science/pith/PER7CVW3H656OXUIT3PF5VXQJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PER7CVW3H656OXUIT3PF5VXQJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PER7CVW3H656OXUIT3PF5VXQJV","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":"f1746d1901fa4e8897ed5d827f05c4936a41c6bb6a1c800f32031e8e5c47cca8","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-02-17T02:28:03Z","title_canon_sha256":"59aa08097b19b1cfcb8f05b7b763c7cd9168ad6f39fc8f6308aeaa5ea0ff4643"},"schema_version":"1.0","source":{"id":"1502.04775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04775","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04775v1","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04775","created_at":"2026-05-18T02:26:58Z"},{"alias_kind":"pith_short_12","alias_value":"PER7CVW3H656","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PER7CVW3H656OXUI","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PER7CVW3","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:284a9eb67455b3bcf736a64cce8fca3cfe6a4ecc9736f2b290a8795ba7e61add","target":"graph","created_at":"2026-05-18T02:26:58Z","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 Resource $\\lambda$-calculus is a variation of the $\\lambda$-calculus where arguments can be superposed and must be linearly used. Hence it is a model for linear and non-deterministic programming languages, and the target language of Ehrhard-Taylor expansion of $\\lambda$-terms. In a strictly typed restriction of the Resource $\\lambda$-calculus, we study the notion of path persistence, and we define a Geometry of Interaction that characterises it, is invariant under reduction, and counts addends in normal forms.","authors_text":"Bologna, CNRS -- DISI, INRIA), Marco Solieri (LIPN, Paris 13, Sorbonne Paris Cit\\'e","cross_cats":["cs.PL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-02-17T02:28:03Z","title":"Geometry of Resource Interaction - A Minimalist Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04775","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":"sha256:3067fdabcc7219be3f8501ef44826a4f56771c9f69d239cc2b1caadcac3cc978","target":"record","created_at":"2026-05-18T02:26:58Z","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":"f1746d1901fa4e8897ed5d827f05c4936a41c6bb6a1c800f32031e8e5c47cca8","cross_cats_sorted":["cs.PL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-02-17T02:28:03Z","title_canon_sha256":"59aa08097b19b1cfcb8f05b7b763c7cd9168ad6f39fc8f6308aeaa5ea0ff4643"},"schema_version":"1.0","source":{"id":"1502.04775","kind":"arxiv","version":1}},"canonical_sha256":"7923f156db3fbbe75e889ede5ed6f04d575068feabb8c2816b1bce6bdf4058ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7923f156db3fbbe75e889ede5ed6f04d575068feabb8c2816b1bce6bdf4058ff","first_computed_at":"2026-05-18T02:26:58.351400Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:58.351400Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cAEzauBc5QDDYDq34Fb82tl45im1oa74N5ATg0bWpK/SsNXKIDXT01QUPBPWewKjbYQIp3jMYjYye7FTPHptAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:58.351911Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3067fdabcc7219be3f8501ef44826a4f56771c9f69d239cc2b1caadcac3cc978","sha256:284a9eb67455b3bcf736a64cce8fca3cfe6a4ecc9736f2b290a8795ba7e61add"],"state_sha256":"582e54c1e77df8918e57e0f0fe16334245c39b9462bcab6ceafa236944331d40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IuzVhQfwkKXYGi16LrbeN/7XpVueVYGHk3qu1pSd1HmjEZ2FPSz11gzHWuO6vCprjXYZevVpzJ5Ak5eJO9GfAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:39:23.901930Z","bundle_sha256":"84699352b9f833b34dc56598940a9793e68f9a9b8979018f9ead7d6abc249cdb"}}