{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KRRAZUU5TPP5R5RZMRXQDOZUIM","short_pith_number":"pith:KRRAZUU5","canonical_record":{"source":{"id":"1611.03740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2016-06-29T19:26:29Z","cross_cats_sorted":[],"title_canon_sha256":"617a91ce7ea4e52ae2c80e34039f15e0b64bcc649e2766874569664602f95338","abstract_canon_sha256":"618f1f7fd810e4363f957fcf33e6c92054fbffa09c2b660905a5cd2f77d58b52"},"schema_version":"1.0"},"canonical_sha256":"54620cd29d9bdfd8f639646f01bb34431493c389b937809966780063828d8f80","source":{"kind":"arxiv","id":"1611.03740","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03740","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03740v1","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03740","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"KRRAZUU5TPP5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KRRAZUU5TPP5R5RZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KRRAZUU5","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KRRAZUU5TPP5R5RZMRXQDOZUIM","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2016-06-29T19:26:29Z","cross_cats_sorted":[],"title_canon_sha256":"617a91ce7ea4e52ae2c80e34039f15e0b64bcc649e2766874569664602f95338","abstract_canon_sha256":"618f1f7fd810e4363f957fcf33e6c92054fbffa09c2b660905a5cd2f77d58b52"},"schema_version":"1.0"},"canonical_sha256":"54620cd29d9bdfd8f639646f01bb34431493c389b937809966780063828d8f80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:33.474610Z","signature_b64":"FWsPJlYtGCVMrBK+zSoprQzKGuEILpxFwaLrmFjkRSt8PjMFvdG1BQ6DnvkiYUVwNqgM39t9q3P9HpbmrgHNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54620cd29d9bdfd8f639646f01bb34431493c389b937809966780063828d8f80","last_reissued_at":"2026-05-18T00:59:33.473961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:33.473961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03740","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":"2026-05-18T00:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OlXRBBRehwFv/slHtvJM2jjP/nE/UwOoIw1SJinpz4gIQUuoJ0lXbyvs10COSMJWdXufv0x2DX62El9xSnhRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T14:14:59.098010Z"},"content_sha256":"2bf367a10284980aa3e78f2e0df93604a1bd0c12ad522ff06bc392ce9c53a7a2","schema_version":"1.0","event_id":"sha256:2bf367a10284980aa3e78f2e0df93604a1bd0c12ad522ff06bc392ce9c53a7a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KRRAZUU5TPP5R5RZMRXQDOZUIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Properties of the financial break-even point in a simple investment project as a function of the discount rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.GN","authors_text":"Domingo A. Tarzia","submitted_at":"2016-06-29T19:26:29Z","abstract_excerpt":"We consider a simple investment project with the following parameters: I>0: Initial investment which is amortizable in n years; n: Number of years the investment allows production with constant output per year; A>0: Annual amortization (A=I/n); Q>0: Quantity of products sold per year; Cv>0: Variable cost per unit; p>0: Price of the product with p>Cv; Cf>0: Annual fixed costs; te: Tax of earnings; r: Annual discount rate. We also assume inflation is negligible. We derive a closed expression of the financial break-even point Qf (i.e. the value of Q for which the net present value (NPV) is zero) "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03740","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":"2026-05-18T00:59:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2MpfwB/VxeHlnnvPACPwBEl9dhALzD0mvtTeRnLP9CVIJyuWGF2QYBiaeem+snDW49ZKEkmfWxdTV+oedT4fAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T14:14:59.098355Z"},"content_sha256":"adab6c8a137ec6e3a32e50f83fdccd01a974baa4bfc7c414c0dd7ac90a2451a4","schema_version":"1.0","event_id":"sha256:adab6c8a137ec6e3a32e50f83fdccd01a974baa4bfc7c414c0dd7ac90a2451a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/bundle.json","state_url":"https://pith.science/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/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":"2026-07-03T14:14:59Z","links":{"resolver":"https://pith.science/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM","bundle":"https://pith.science/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/bundle.json","state":"https://pith.science/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KRRAZUU5TPP5R5RZMRXQDOZUIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KRRAZUU5TPP5R5RZMRXQDOZUIM","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":"618f1f7fd810e4363f957fcf33e6c92054fbffa09c2b660905a5cd2f77d58b52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2016-06-29T19:26:29Z","title_canon_sha256":"617a91ce7ea4e52ae2c80e34039f15e0b64bcc649e2766874569664602f95338"},"schema_version":"1.0","source":{"id":"1611.03740","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03740","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03740v1","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03740","created_at":"2026-05-18T00:59:33Z"},{"alias_kind":"pith_short_12","alias_value":"KRRAZUU5TPP5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"KRRAZUU5TPP5R5RZ","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"KRRAZUU5","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:adab6c8a137ec6e3a32e50f83fdccd01a974baa4bfc7c414c0dd7ac90a2451a4","target":"graph","created_at":"2026-05-18T00:59:33Z","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 a simple investment project with the following parameters: I>0: Initial investment which is amortizable in n years; n: Number of years the investment allows production with constant output per year; A>0: Annual amortization (A=I/n); Q>0: Quantity of products sold per year; Cv>0: Variable cost per unit; p>0: Price of the product with p>Cv; Cf>0: Annual fixed costs; te: Tax of earnings; r: Annual discount rate. We also assume inflation is negligible. We derive a closed expression of the financial break-even point Qf (i.e. the value of Q for which the net present value (NPV) is zero) ","authors_text":"Domingo A. Tarzia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2016-06-29T19:26:29Z","title":"Properties of the financial break-even point in a simple investment project as a function of the discount rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03740","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":"sha256:2bf367a10284980aa3e78f2e0df93604a1bd0c12ad522ff06bc392ce9c53a7a2","target":"record","created_at":"2026-05-18T00:59:33Z","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":"618f1f7fd810e4363f957fcf33e6c92054fbffa09c2b660905a5cd2f77d58b52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2016-06-29T19:26:29Z","title_canon_sha256":"617a91ce7ea4e52ae2c80e34039f15e0b64bcc649e2766874569664602f95338"},"schema_version":"1.0","source":{"id":"1611.03740","kind":"arxiv","version":1}},"canonical_sha256":"54620cd29d9bdfd8f639646f01bb34431493c389b937809966780063828d8f80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"54620cd29d9bdfd8f639646f01bb34431493c389b937809966780063828d8f80","first_computed_at":"2026-05-18T00:59:33.473961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:33.473961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FWsPJlYtGCVMrBK+zSoprQzKGuEILpxFwaLrmFjkRSt8PjMFvdG1BQ6DnvkiYUVwNqgM39t9q3P9HpbmrgHNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:33.474610Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03740","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bf367a10284980aa3e78f2e0df93604a1bd0c12ad522ff06bc392ce9c53a7a2","sha256:adab6c8a137ec6e3a32e50f83fdccd01a974baa4bfc7c414c0dd7ac90a2451a4"],"state_sha256":"2ca31f439e77834908347d1ad5934a9ff2c0522a13d09167e18832b236d4c7ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6E5zfk+Gx2/T4EGZhxsEyWAeJpVGkW1YbP8whCXiu6UZJnUtuy02j2zIZdTenYu/w/23i2fU5vw5Osd3QuX0CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T14:14:59.100144Z","bundle_sha256":"ac54654644ba55c9fce1be82cb6348bc089ca308fd8fdc1b4a03b56733b4946c"}}