{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:WXNG6SL2N3NZLC2TVJIPOMTYKO","short_pith_number":"pith:WXNG6SL2","canonical_record":{"source":{"id":"quant-ph/0607038","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-05T17:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"15bfc5c7c688b0402a6ed29e661faf5e3ba1d6100738dddbd3964eb3a9bdb0b7","abstract_canon_sha256":"3798827e46a558c96a4e59b5018336a1f33a12d512e1b83a2f730f7b0a1b1281"},"schema_version":"1.0"},"canonical_sha256":"b5da6f497a6edb958b53aa50f7327853a8f00b8a46dd8058775d537e31350097","source":{"kind":"arxiv","id":"quant-ph/0607038","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0607038","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0607038v2","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0607038","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"WXNG6SL2N3NZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"WXNG6SL2N3NZLC2T","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"WXNG6SL2","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:WXNG6SL2N3NZLC2TVJIPOMTYKO","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0607038","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-05T17:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"15bfc5c7c688b0402a6ed29e661faf5e3ba1d6100738dddbd3964eb3a9bdb0b7","abstract_canon_sha256":"3798827e46a558c96a4e59b5018336a1f33a12d512e1b83a2f730f7b0a1b1281"},"schema_version":"1.0"},"canonical_sha256":"b5da6f497a6edb958b53aa50f7327853a8f00b8a46dd8058775d537e31350097","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:54.521009Z","signature_b64":"ABHQnmXKRT0Q3zCwRefZoioxN08rBdTmiD2G3AKoGByZPmh3rpOt9rwLz+OX7iBKFgsNJSaXAvYUIGlQZ8FHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5da6f497a6edb958b53aa50f7327853a8f00b8a46dd8058775d537e31350097","last_reissued_at":"2026-05-18T01:37:54.520463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:54.520463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0607038","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":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ulL9AiICKzHzrSTSeLx+G3vBgSE+ModUPjg6AWqLQgRoBLrSqeweSZzgEu1UJelxNv6XlF6Dtu/pO1JYVjQrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:02:49.369625Z"},"content_sha256":"7059f565d6b43cdbebd8708cac71a433595d9d14ffdbc6bfb134a3547a978341","schema_version":"1.0","event_id":"sha256:7059f565d6b43cdbebd8708cac71a433595d9d14ffdbc6bfb134a3547a978341"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:WXNG6SL2N3NZLC2TVJIPOMTYKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tunneling times through barrier with inelasticity","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arnab Saha, Arya Paul, Binayak Dutta-Roy, Swarnali Bandopadhyay","submitted_at":"2006-07-05T17:22:09Z","abstract_excerpt":"Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of evanescent waves in optics. Some authors have claimed that in the presence of absorption or inelastic channels (which they model by taking a complex barrier potential) this effect no longer exists, in that the time delay becomes proportional to the barrier width. Taking the point of view that complex potentials imply non-Hermitian Hamiltonians and are as such"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0607038","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":"2026-05-18T01:37:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/U5G5Zhr2CLz1XQBuvDdRx33D/3yVz5gwYHF45sAH/MEicg3WtUrTNdpOqe169oc2n/OkgplOyWJvZ+GrDrAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:02:49.369970Z"},"content_sha256":"3ba5bf70fdf988b870ba1cb5d716d345a3021c1d1eac096d37006521aac88974","schema_version":"1.0","event_id":"sha256:3ba5bf70fdf988b870ba1cb5d716d345a3021c1d1eac096d37006521aac88974"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/bundle.json","state_url":"https://pith.science/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/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":"2026-06-22T02:02:49Z","links":{"resolver":"https://pith.science/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO","bundle":"https://pith.science/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/bundle.json","state":"https://pith.science/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXNG6SL2N3NZLC2TVJIPOMTYKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:WXNG6SL2N3NZLC2TVJIPOMTYKO","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":"3798827e46a558c96a4e59b5018336a1f33a12d512e1b83a2f730f7b0a1b1281","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-05T17:22:09Z","title_canon_sha256":"15bfc5c7c688b0402a6ed29e661faf5e3ba1d6100738dddbd3964eb3a9bdb0b7"},"schema_version":"1.0","source":{"id":"quant-ph/0607038","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0607038","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0607038v2","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0607038","created_at":"2026-05-18T01:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"WXNG6SL2N3NZ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"WXNG6SL2N3NZLC2T","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"WXNG6SL2","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:3ba5bf70fdf988b870ba1cb5d716d345a3021c1d1eac096d37006521aac88974","target":"graph","created_at":"2026-05-18T01:37:54Z","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":"Tunneling delay times of wavepackets in quantum mechanical penetration of rectangular barriers have long been known to show a perplexing independence with respect to the width of the barrier. This also has relevence to the transmission of evanescent waves in optics. Some authors have claimed that in the presence of absorption or inelastic channels (which they model by taking a complex barrier potential) this effect no longer exists, in that the time delay becomes proportional to the barrier width. Taking the point of view that complex potentials imply non-Hermitian Hamiltonians and are as such","authors_text":"Arnab Saha, Arya Paul, Binayak Dutta-Roy, Swarnali Bandopadhyay","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-07-05T17:22:09Z","title":"Tunneling times through barrier with inelasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0607038","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":"sha256:7059f565d6b43cdbebd8708cac71a433595d9d14ffdbc6bfb134a3547a978341","target":"record","created_at":"2026-05-18T01:37:54Z","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":"3798827e46a558c96a4e59b5018336a1f33a12d512e1b83a2f730f7b0a1b1281","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-05T17:22:09Z","title_canon_sha256":"15bfc5c7c688b0402a6ed29e661faf5e3ba1d6100738dddbd3964eb3a9bdb0b7"},"schema_version":"1.0","source":{"id":"quant-ph/0607038","kind":"arxiv","version":2}},"canonical_sha256":"b5da6f497a6edb958b53aa50f7327853a8f00b8a46dd8058775d537e31350097","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5da6f497a6edb958b53aa50f7327853a8f00b8a46dd8058775d537e31350097","first_computed_at":"2026-05-18T01:37:54.520463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:54.520463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ABHQnmXKRT0Q3zCwRefZoioxN08rBdTmiD2G3AKoGByZPmh3rpOt9rwLz+OX7iBKFgsNJSaXAvYUIGlQZ8FHDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:54.521009Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0607038","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7059f565d6b43cdbebd8708cac71a433595d9d14ffdbc6bfb134a3547a978341","sha256:3ba5bf70fdf988b870ba1cb5d716d345a3021c1d1eac096d37006521aac88974"],"state_sha256":"3c4248c5b964654f3ff4af9c02b32a0fa36939f9bf401c9cbb1097443dbea519"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AK5qJJykA7ttc3JLe0z4oJxKaVw9akNGBP7wGSg+hR4kNg8sclwDYroqvgZrmCGlVwOgRbkHFMe+Cy2WFSOECw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T02:02:49.371895Z","bundle_sha256":"19687f95ccafa37d441e9b4945979178ad8d3e849c1b5bc3e3e4e1f09bd149d9"}}