{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:R7NQJ5RYX5PP5URCOOJNOBTC2C","short_pith_number":"pith:R7NQJ5RY","canonical_record":{"source":{"id":"1504.00115","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T06:27:38Z","cross_cats_sorted":[],"title_canon_sha256":"cabaf5b971a801e6977c996e1af23a60b3174c8d7b2d7356207d2175b53b50b3","abstract_canon_sha256":"aa297270dad3d21c78605e90a0fcb616bdf65139dba774eab245984b20f70e88"},"schema_version":"1.0"},"canonical_sha256":"8fdb04f638bf5efed2227392d70662d0b2ff962a9b5dc7cc70acdc29d7c94578","source":{"kind":"arxiv","id":"1504.00115","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00115","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00115v3","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00115","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"R7NQJ5RYX5PP","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7NQJ5RYX5PP5URC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7NQJ5RY","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:R7NQJ5RYX5PP5URCOOJNOBTC2C","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00115","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T06:27:38Z","cross_cats_sorted":[],"title_canon_sha256":"cabaf5b971a801e6977c996e1af23a60b3174c8d7b2d7356207d2175b53b50b3","abstract_canon_sha256":"aa297270dad3d21c78605e90a0fcb616bdf65139dba774eab245984b20f70e88"},"schema_version":"1.0"},"canonical_sha256":"8fdb04f638bf5efed2227392d70662d0b2ff962a9b5dc7cc70acdc29d7c94578","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:01.064437Z","signature_b64":"6cY786x0fAEeOHC68LFj6i0MDu6e5WnnvYo2i0X6aQjWXJ9IEJCtq+F78rntK2nHPuRgLQEaoX3KhVSR7aUmBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fdb04f638bf5efed2227392d70662d0b2ff962a9b5dc7cc70acdc29d7c94578","last_reissued_at":"2026-05-18T01:55:01.063898Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:01.063898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00115","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjLHVi7qavKUEGi3cj1buQWq4DmAfkNyB9D7xJT+Twrp0gxPKlCCvdxTvqvnuPpIWmdV0uCdsg4U2Egu3aQ1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:05:52.887023Z"},"content_sha256":"47a341d3fdfe857b764052403f32e3f07b22a9d32ba3c1968fded3416eecba0a","schema_version":"1.0","event_id":"sha256:47a341d3fdfe857b764052403f32e3f07b22a9d32ba3c1968fded3416eecba0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:R7NQJ5RYX5PP5URCOOJNOBTC2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New shape resonances in one dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lakshmi Prakash, Shashin Pavaskar, Zafar Ahmed","submitted_at":"2015-04-01T06:27:38Z","abstract_excerpt":"Hitherto, a finitely thick barrier next to a well or a rigid wall has been considered the potential of simplest shape giving rise to resonances (metastable states) in one dimension: $x \\in(-\\infty, \\infty)$. In such a potential, there are three real turning points at an energy below the barrier. Resonances are Gamow's (time-wise) decaying states with discrete complex energies $({\\cal E}_n = E_n -i\\Gamma_n/2)$. These are also spatially catastrophic states that manifest as peaks/wiggles in Wigner's reflection time-delay at $E = \\epsilon_n \\approx E_n$. Here we explore potentials with simpler sha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00115","kind":"arxiv","version":3},"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":"2026-05-18T01:55:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Owrebyi5qVH95zm1t8No3Z2321zYfJCy1/ODI1Shzu8vypXhmEwPmQbbFKXIKDLcuLy75iAsO02/4hsFI/60Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:05:52.887667Z"},"content_sha256":"796267b3e4511cd0049f6acb70db00c809d0050201ad3a748fe48b8eb7efa345","schema_version":"1.0","event_id":"sha256:796267b3e4511cd0049f6acb70db00c809d0050201ad3a748fe48b8eb7efa345"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/bundle.json","state_url":"https://pith.science/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/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":"2026-06-04T06:05:52Z","links":{"resolver":"https://pith.science/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C","bundle":"https://pith.science/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/bundle.json","state":"https://pith.science/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R7NQJ5RYX5PP5URCOOJNOBTC2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R7NQJ5RYX5PP5URCOOJNOBTC2C","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":"aa297270dad3d21c78605e90a0fcb616bdf65139dba774eab245984b20f70e88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T06:27:38Z","title_canon_sha256":"cabaf5b971a801e6977c996e1af23a60b3174c8d7b2d7356207d2175b53b50b3"},"schema_version":"1.0","source":{"id":"1504.00115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00115","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00115v3","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00115","created_at":"2026-05-18T01:55:01Z"},{"alias_kind":"pith_short_12","alias_value":"R7NQJ5RYX5PP","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R7NQJ5RYX5PP5URC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R7NQJ5RY","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:796267b3e4511cd0049f6acb70db00c809d0050201ad3a748fe48b8eb7efa345","target":"graph","created_at":"2026-05-18T01:55:01Z","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":"Hitherto, a finitely thick barrier next to a well or a rigid wall has been considered the potential of simplest shape giving rise to resonances (metastable states) in one dimension: $x \\in(-\\infty, \\infty)$. In such a potential, there are three real turning points at an energy below the barrier. Resonances are Gamow's (time-wise) decaying states with discrete complex energies $({\\cal E}_n = E_n -i\\Gamma_n/2)$. These are also spatially catastrophic states that manifest as peaks/wiggles in Wigner's reflection time-delay at $E = \\epsilon_n \\approx E_n$. Here we explore potentials with simpler sha","authors_text":"Lakshmi Prakash, Shashin Pavaskar, Zafar Ahmed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T06:27:38Z","title":"New shape resonances in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00115","kind":"arxiv","version":3},"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":"sha256:47a341d3fdfe857b764052403f32e3f07b22a9d32ba3c1968fded3416eecba0a","target":"record","created_at":"2026-05-18T01:55:01Z","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":"aa297270dad3d21c78605e90a0fcb616bdf65139dba774eab245984b20f70e88","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-04-01T06:27:38Z","title_canon_sha256":"cabaf5b971a801e6977c996e1af23a60b3174c8d7b2d7356207d2175b53b50b3"},"schema_version":"1.0","source":{"id":"1504.00115","kind":"arxiv","version":3}},"canonical_sha256":"8fdb04f638bf5efed2227392d70662d0b2ff962a9b5dc7cc70acdc29d7c94578","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fdb04f638bf5efed2227392d70662d0b2ff962a9b5dc7cc70acdc29d7c94578","first_computed_at":"2026-05-18T01:55:01.063898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:01.063898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6cY786x0fAEeOHC68LFj6i0MDu6e5WnnvYo2i0X6aQjWXJ9IEJCtq+F78rntK2nHPuRgLQEaoX3KhVSR7aUmBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:01.064437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47a341d3fdfe857b764052403f32e3f07b22a9d32ba3c1968fded3416eecba0a","sha256:796267b3e4511cd0049f6acb70db00c809d0050201ad3a748fe48b8eb7efa345"],"state_sha256":"75b0e14be7176d168903e3a8f5d79cd672a48b89ce386c5293b42478f494af77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iMgCu+E1TPDD/ln2/QBbN9A9+Zprqkykh3iohHiMAr+1Qz4zr77+a3Cb+PGT1n0MbR1dwtRyawpt6x/9V5FrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:05:52.890604Z","bundle_sha256":"860fa1a353fdbe20964ea424aa07e0cadc532caf1aad80b1252a714e795700c7"}}