{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4I3QWM6ISMEJWI7WKTKCT3Z3NE","short_pith_number":"pith:4I3QWM6I","canonical_record":{"source":{"id":"1706.08148","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-06-25T18:08:56Z","cross_cats_sorted":[],"title_canon_sha256":"2da80481a9cca597345a62237ecbdb64b968bdf63a3c442419110f3f956bffa9","abstract_canon_sha256":"d9c2616979f399cd3c950b585375fb305a1c06c2f33f23d901c64f92361800ef"},"schema_version":"1.0"},"canonical_sha256":"e2370b33c893089b23f654d429ef3b693f5747ce62552f930aba2980b8a9db1e","source":{"kind":"arxiv","id":"1706.08148","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08148","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08148v2","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08148","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"4I3QWM6ISMEJ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4I3QWM6ISMEJWI7W","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4I3QWM6I","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4I3QWM6ISMEJWI7WKTKCT3Z3NE","target":"record","payload":{"canonical_record":{"source":{"id":"1706.08148","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-06-25T18:08:56Z","cross_cats_sorted":[],"title_canon_sha256":"2da80481a9cca597345a62237ecbdb64b968bdf63a3c442419110f3f956bffa9","abstract_canon_sha256":"d9c2616979f399cd3c950b585375fb305a1c06c2f33f23d901c64f92361800ef"},"schema_version":"1.0"},"canonical_sha256":"e2370b33c893089b23f654d429ef3b693f5747ce62552f930aba2980b8a9db1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:47.536624Z","signature_b64":"y8A7Q5iHkd5tG9ENwTf5Gr3c4yBqHTNlNnTsPNEYZ80dVFy8W7f91gyt6D3PchBrPzgi0Hz+QX9/q2B3ZLi4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2370b33c893089b23f654d429ef3b693f5747ce62552f930aba2980b8a9db1e","last_reissued_at":"2026-05-18T00:14:47.536010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:47.536010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.08148","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":"2026-05-18T00:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+kp1ZbaOS8cTV8Qk4VlW1umHL9+Pq4PXg6QwXAcOvc7VUZwVIddYXgqYP/eZW+hfAFf3jkZLN7AzxnJBneaGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:55:22.560029Z"},"content_sha256":"a59cf379eea801c6e1d6490cd5bac8e0d8d1148d751fece5c40b2efed7d4163b","schema_version":"1.0","event_id":"sha256:a59cf379eea801c6e1d6490cd5bac8e0d8d1148d751fece5c40b2efed7d4163b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4I3QWM6ISMEJWI7WKTKCT3Z3NE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revenue Loss in Shrinking Markets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Nitzan Uziely, Shahar Dobzinski","submitted_at":"2017-06-25T18:08:56Z","abstract_excerpt":"We analyze the revenue loss due to market shrinkage. Specifically, consider a simple market with one item for sale and $n$ bidders whose values are drawn from some joint distribution. Suppose that the market shrinks as a single bidder retires from the market. Suppose furthermore that the value of this retiring bidder is fixed and always strictly smaller than the values of the other players. We show that even this slight decrease in competition might cause a significant fall of a multiplicative factor of $\\frac{1}{e+1}\\approx0.268$ in the revenue that can be obtained by a dominant strategy ex-p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08148","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":"2026-05-18T00:14:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TBXnlVRhLccPmtHPjQoPUVs6d4c0Y1lurAqe/NJgkWft/iO+40Rl9JzTd/aQ+s9nNZxdXAbi7Nd1MbhTZbP7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:55:22.560393Z"},"content_sha256":"3f50905569cb137dbc51cbe1e3b7c249fe6aa6b4e06c4fde9c10f167914dea1b","schema_version":"1.0","event_id":"sha256:3f50905569cb137dbc51cbe1e3b7c249fe6aa6b4e06c4fde9c10f167914dea1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/bundle.json","state_url":"https://pith.science/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/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":"2026-06-29T14:55:22Z","links":{"resolver":"https://pith.science/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE","bundle":"https://pith.science/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/bundle.json","state":"https://pith.science/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4I3QWM6ISMEJWI7WKTKCT3Z3NE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4I3QWM6ISMEJWI7WKTKCT3Z3NE","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":"d9c2616979f399cd3c950b585375fb305a1c06c2f33f23d901c64f92361800ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-06-25T18:08:56Z","title_canon_sha256":"2da80481a9cca597345a62237ecbdb64b968bdf63a3c442419110f3f956bffa9"},"schema_version":"1.0","source":{"id":"1706.08148","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.08148","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"1706.08148v2","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.08148","created_at":"2026-05-18T00:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"4I3QWM6ISMEJ","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4I3QWM6ISMEJWI7W","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4I3QWM6I","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:3f50905569cb137dbc51cbe1e3b7c249fe6aa6b4e06c4fde9c10f167914dea1b","target":"graph","created_at":"2026-05-18T00:14:47Z","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 analyze the revenue loss due to market shrinkage. Specifically, consider a simple market with one item for sale and $n$ bidders whose values are drawn from some joint distribution. Suppose that the market shrinks as a single bidder retires from the market. Suppose furthermore that the value of this retiring bidder is fixed and always strictly smaller than the values of the other players. We show that even this slight decrease in competition might cause a significant fall of a multiplicative factor of $\\frac{1}{e+1}\\approx0.268$ in the revenue that can be obtained by a dominant strategy ex-p","authors_text":"Nitzan Uziely, Shahar Dobzinski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-06-25T18:08:56Z","title":"Revenue Loss in Shrinking Markets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.08148","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:a59cf379eea801c6e1d6490cd5bac8e0d8d1148d751fece5c40b2efed7d4163b","target":"record","created_at":"2026-05-18T00:14:47Z","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":"d9c2616979f399cd3c950b585375fb305a1c06c2f33f23d901c64f92361800ef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-06-25T18:08:56Z","title_canon_sha256":"2da80481a9cca597345a62237ecbdb64b968bdf63a3c442419110f3f956bffa9"},"schema_version":"1.0","source":{"id":"1706.08148","kind":"arxiv","version":2}},"canonical_sha256":"e2370b33c893089b23f654d429ef3b693f5747ce62552f930aba2980b8a9db1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2370b33c893089b23f654d429ef3b693f5747ce62552f930aba2980b8a9db1e","first_computed_at":"2026-05-18T00:14:47.536010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:47.536010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y8A7Q5iHkd5tG9ENwTf5Gr3c4yBqHTNlNnTsPNEYZ80dVFy8W7f91gyt6D3PchBrPzgi0Hz+QX9/q2B3ZLi4Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:47.536624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.08148","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a59cf379eea801c6e1d6490cd5bac8e0d8d1148d751fece5c40b2efed7d4163b","sha256:3f50905569cb137dbc51cbe1e3b7c249fe6aa6b4e06c4fde9c10f167914dea1b"],"state_sha256":"ce7c968666f55b184256aa9ec6fcdbb92f66ab93a9842b61db7c09323dd8ca8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1HhMLqeyPK2RBUJq0resyCGwsYOo3X0Dea7xf0UcCWGHUFM0fI0n5BFKgQgzgDzWTvFW23/wGWUZQZ2gRUWBDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T14:55:22.565896Z","bundle_sha256":"5d3d189b2213846099c1a4374bb6215655a9e2f041410563388bd6a8ed7a34e5"}}