{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:MMKP4HV6QAG5XXG6UGFZXBR4CO","short_pith_number":"pith:MMKP4HV6","canonical_record":{"source":{"id":"cond-mat/9905169","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-05-12T16:49:41Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"89293d9000069b318ce838d8e2058f4fb17848015c6a689e04fc0d4e58c60047","abstract_canon_sha256":"39de5954585042771ffc469c6870a17723610153c7d01879f9310828a05f3f41"},"schema_version":"1.0"},"canonical_sha256":"6314fe1ebe800ddbdcdea18b9b863c13ad2b9faf8fd9b064ce95ef50cf17de5e","source":{"kind":"arxiv","id":"cond-mat/9905169","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9905169","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9905169v1","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9905169","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"MMKP4HV6QAG5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"MMKP4HV6QAG5XXG6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"MMKP4HV6","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:MMKP4HV6QAG5XXG6UGFZXBR4CO","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9905169","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-05-12T16:49:41Z","cross_cats_sorted":["q-fin.ST"],"title_canon_sha256":"89293d9000069b318ce838d8e2058f4fb17848015c6a689e04fc0d4e58c60047","abstract_canon_sha256":"39de5954585042771ffc469c6870a17723610153c7d01879f9310828a05f3f41"},"schema_version":"1.0"},"canonical_sha256":"6314fe1ebe800ddbdcdea18b9b863c13ad2b9faf8fd9b064ce95ef50cf17de5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:28.905153Z","signature_b64":"gFm8KGfNJPAab24phk+q1JndyvclGWc053aO638NNjPAQu8dO5Z/8LAKXCu7yGDJSpi0dO5vLiTx5ex4r/9TDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6314fe1ebe800ddbdcdea18b9b863c13ad2b9faf8fd9b064ce95ef50cf17de5e","last_reissued_at":"2026-05-18T01:39:28.904547Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:28.904547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9905169","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":"2026-05-18T01:39:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gIJlw3fCehUW7Ln/Od/Qb5Qunm/cTq+LjdQFvBrLQYfmhn+2wgPQuwuoQYA2f1MpA2HVKuDW8zOFs9tpO3LeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:23:44.541619Z"},"content_sha256":"4d91d418fc7dd9d69a786e97efe7cede8837c23407ee9bfd091feb4606ad2af8","schema_version":"1.0","event_id":"sha256:4d91d418fc7dd9d69a786e97efe7cede8837c23407ee9bfd091feb4606ad2af8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:MMKP4HV6QAG5XXG6UGFZXBR4CO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling transformation and probability distributions for financial time series","license":"","headline":"","cross_cats":["q-fin.ST"],"primary_cat":"cond-mat.stat-mech","authors_text":"Erik Taflin, Jean Marcel Tcheou, Marc-Etienne Brachet","submitted_at":"1999-05-12T16:49:41Z","abstract_excerpt":"The price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scaling exponents or unifractal behavior of such processes has been reported in several works. In this letter we investigate the question of scaling transformation of price processes by establishing a new connexion between non-linear group theoretical methods and multifractal methods developed in mathematical physics. Using two sets of financial chronological time series, we show that the scaling transformation is a non-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9905169","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":"2026-05-18T01:39:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CZFL+89/GdUMksIlslo/aeNmhotHPkclczpAJB/zHck52+kBzELpSCTzDgd8Gt+I77qFEC/C1QSlxabhx0VVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:23:44.541967Z"},"content_sha256":"33393845e281dd7a2414be6f4dee82dc21a8564e01e234a63c0af81a924137f5","schema_version":"1.0","event_id":"sha256:33393845e281dd7a2414be6f4dee82dc21a8564e01e234a63c0af81a924137f5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/bundle.json","state_url":"https://pith.science/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/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":"2026-06-05T15:23:44Z","links":{"resolver":"https://pith.science/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO","bundle":"https://pith.science/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/bundle.json","state":"https://pith.science/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MMKP4HV6QAG5XXG6UGFZXBR4CO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:MMKP4HV6QAG5XXG6UGFZXBR4CO","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":"39de5954585042771ffc469c6870a17723610153c7d01879f9310828a05f3f41","cross_cats_sorted":["q-fin.ST"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-05-12T16:49:41Z","title_canon_sha256":"89293d9000069b318ce838d8e2058f4fb17848015c6a689e04fc0d4e58c60047"},"schema_version":"1.0","source":{"id":"cond-mat/9905169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9905169","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9905169v1","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9905169","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"MMKP4HV6QAG5","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"MMKP4HV6QAG5XXG6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"MMKP4HV6","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:33393845e281dd7a2414be6f4dee82dc21a8564e01e234a63c0af81a924137f5","target":"graph","created_at":"2026-05-18T01:39:28Z","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 price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scaling exponents or unifractal behavior of such processes has been reported in several works. In this letter we investigate the question of scaling transformation of price processes by establishing a new connexion between non-linear group theoretical methods and multifractal methods developed in mathematical physics. Using two sets of financial chronological time series, we show that the scaling transformation is a non-","authors_text":"Erik Taflin, Jean Marcel Tcheou, Marc-Etienne Brachet","cross_cats":["q-fin.ST"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-05-12T16:49:41Z","title":"Scaling transformation and probability distributions for financial time series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9905169","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":"sha256:4d91d418fc7dd9d69a786e97efe7cede8837c23407ee9bfd091feb4606ad2af8","target":"record","created_at":"2026-05-18T01:39:28Z","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":"39de5954585042771ffc469c6870a17723610153c7d01879f9310828a05f3f41","cross_cats_sorted":["q-fin.ST"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-05-12T16:49:41Z","title_canon_sha256":"89293d9000069b318ce838d8e2058f4fb17848015c6a689e04fc0d4e58c60047"},"schema_version":"1.0","source":{"id":"cond-mat/9905169","kind":"arxiv","version":1}},"canonical_sha256":"6314fe1ebe800ddbdcdea18b9b863c13ad2b9faf8fd9b064ce95ef50cf17de5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6314fe1ebe800ddbdcdea18b9b863c13ad2b9faf8fd9b064ce95ef50cf17de5e","first_computed_at":"2026-05-18T01:39:28.904547Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:28.904547Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gFm8KGfNJPAab24phk+q1JndyvclGWc053aO638NNjPAQu8dO5Z/8LAKXCu7yGDJSpi0dO5vLiTx5ex4r/9TDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:28.905153Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9905169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d91d418fc7dd9d69a786e97efe7cede8837c23407ee9bfd091feb4606ad2af8","sha256:33393845e281dd7a2414be6f4dee82dc21a8564e01e234a63c0af81a924137f5"],"state_sha256":"17128a43abc2fb44216a5cc600ef1f529ce46cfa620212704bd6da6aedf0c8f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y14fm4q5FF+9tkxMMh2caq0qhj317orB46vRbskiudRkR9EZolFe084IeyRM5e0YpwBgM/TQp2DdAXoy+AuJAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:23:44.544117Z","bundle_sha256":"3fab71fe91cb2bc065796bb26d0bf78505e8300debe5c2b9496e9185c8234774"}}