{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:KX5V4H2YAW57QZ4Q5W2DSZSUE5","short_pith_number":"pith:KX5V4H2Y","canonical_record":{"source":{"id":"2506.08652","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T10:05:29Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"55e9b87fcc8b8ae4942cb0caefac00403b5f591274227bae7f8f661690829295","abstract_canon_sha256":"0be49c1dc226d7fc086099d8482c24fbff3f11d3ea6071bc326f0b7ef619d187"},"schema_version":"1.0"},"canonical_sha256":"55fb5e1f5805bbf86790edb4396654276aea7c984515be4e710f6db98c35a888","source":{"kind":"arxiv","id":"2506.08652","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.08652","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"2506.08652v1","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08652","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"KX5V4H2YAW57","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_16","alias_value":"KX5V4H2YAW57QZ4Q","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_8","alias_value":"KX5V4H2Y","created_at":"2026-07-05T11:19:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:KX5V4H2YAW57QZ4Q5W2DSZSUE5","target":"record","payload":{"canonical_record":{"source":{"id":"2506.08652","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T10:05:29Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"55e9b87fcc8b8ae4942cb0caefac00403b5f591274227bae7f8f661690829295","abstract_canon_sha256":"0be49c1dc226d7fc086099d8482c24fbff3f11d3ea6071bc326f0b7ef619d187"},"schema_version":"1.0"},"canonical_sha256":"55fb5e1f5805bbf86790edb4396654276aea7c984515be4e710f6db98c35a888","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:19:11.212000Z","signature_b64":"A0CM3F5v4yjn8QMbgz4f8ljoXE80OdYAtxpVEBZNEM9PSGK5mFo8OzSjs6oxJ7UhwF937GVDVX0JCGfRbbAdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55fb5e1f5805bbf86790edb4396654276aea7c984515be4e710f6db98c35a888","last_reissued_at":"2026-07-05T11:19:11.211541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:19:11.211541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.08652","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":"2026-07-05T11:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TYtFAcZBzJffoKagRdxnXxsXBk6Y1ou768GJLFFmZWp0DS2WDbKrLE1aCRXyGxnV7sHGEx3HzeyyAnUvUBdZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:41:08.395032Z"},"content_sha256":"be38a3123b7076844cf7b687118791ad4fdc293367ceaa46c897f0513af95dce","schema_version":"1.0","event_id":"sha256:be38a3123b7076844cf7b687118791ad4fdc293367ceaa46c897f0513af95dce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:KX5V4H2YAW57QZ4Q5W2DSZSUE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"JoFormer (Journey-based Transformer): Theory and Empirical Analysis on the Tiny Shakespeare Dataset","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Mahesh Godavarti","submitted_at":"2025-06-10T10:05:29Z","abstract_excerpt":"Transformers have demonstrated remarkable success in sequence modeling, yet effectively incorporating positional information remains a challenging and active area of research. In this paper, we introduce JoFormer, a journey-based Transformer architecture grounded in a recently proposed non-commutative algebra for composing transformations across positions. JoFormer represents relative positions through learnable directional transforms that are sequentially composed along the input, thereby extending and generalizing existing approaches based on relative position representations. We derive the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08652","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.08652/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:19:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3VdoSgKrdbQqpS0HTWWMqdMbUhcmq0B2az2TWhI2ll1zj+ax+Ul9Kl6ePZVWGb6Bps/fXeqaMnNaFli+k+LBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T02:41:08.395980Z"},"content_sha256":"88d8da24077d3aca1f731c58c3a8fcb977d349755da8b3362e3bf9b0eff14250","schema_version":"1.0","event_id":"sha256:88d8da24077d3aca1f731c58c3a8fcb977d349755da8b3362e3bf9b0eff14250"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/bundle.json","state_url":"https://pith.science/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/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":"2026-08-10T02:41:08Z","links":{"resolver":"https://pith.science/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5","bundle":"https://pith.science/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/bundle.json","state":"https://pith.science/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KX5V4H2YAW57QZ4Q5W2DSZSUE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KX5V4H2YAW57QZ4Q5W2DSZSUE5","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":"0be49c1dc226d7fc086099d8482c24fbff3f11d3ea6071bc326f0b7ef619d187","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T10:05:29Z","title_canon_sha256":"55e9b87fcc8b8ae4942cb0caefac00403b5f591274227bae7f8f661690829295"},"schema_version":"1.0","source":{"id":"2506.08652","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.08652","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"arxiv_version","alias_value":"2506.08652v1","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.08652","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_12","alias_value":"KX5V4H2YAW57","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_16","alias_value":"KX5V4H2YAW57QZ4Q","created_at":"2026-07-05T11:19:11Z"},{"alias_kind":"pith_short_8","alias_value":"KX5V4H2Y","created_at":"2026-07-05T11:19:11Z"}],"graph_snapshots":[{"event_id":"sha256:88d8da24077d3aca1f731c58c3a8fcb977d349755da8b3362e3bf9b0eff14250","target":"graph","created_at":"2026-07-05T11:19:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.08652/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Transformers have demonstrated remarkable success in sequence modeling, yet effectively incorporating positional information remains a challenging and active area of research. In this paper, we introduce JoFormer, a journey-based Transformer architecture grounded in a recently proposed non-commutative algebra for composing transformations across positions. JoFormer represents relative positions through learnable directional transforms that are sequentially composed along the input, thereby extending and generalizing existing approaches based on relative position representations. We derive the ","authors_text":"Mahesh Godavarti","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T10:05:29Z","title":"JoFormer (Journey-based Transformer): Theory and Empirical Analysis on the Tiny Shakespeare Dataset"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.08652","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:be38a3123b7076844cf7b687118791ad4fdc293367ceaa46c897f0513af95dce","target":"record","created_at":"2026-07-05T11:19:11Z","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":"0be49c1dc226d7fc086099d8482c24fbff3f11d3ea6071bc326f0b7ef619d187","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cs.LG","submitted_at":"2025-06-10T10:05:29Z","title_canon_sha256":"55e9b87fcc8b8ae4942cb0caefac00403b5f591274227bae7f8f661690829295"},"schema_version":"1.0","source":{"id":"2506.08652","kind":"arxiv","version":1}},"canonical_sha256":"55fb5e1f5805bbf86790edb4396654276aea7c984515be4e710f6db98c35a888","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55fb5e1f5805bbf86790edb4396654276aea7c984515be4e710f6db98c35a888","first_computed_at":"2026-07-05T11:19:11.211541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:19:11.211541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A0CM3F5v4yjn8QMbgz4f8ljoXE80OdYAtxpVEBZNEM9PSGK5mFo8OzSjs6oxJ7UhwF937GVDVX0JCGfRbbAdBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:19:11.212000Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.08652","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be38a3123b7076844cf7b687118791ad4fdc293367ceaa46c897f0513af95dce","sha256:88d8da24077d3aca1f731c58c3a8fcb977d349755da8b3362e3bf9b0eff14250"],"state_sha256":"83fe5ca01fa554eb67b898cffb833548ec03b03be3d04c776e5e5dcbf0cfc5da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wKoHoJqph5A/TOj7pseyfEzoKjivetzWOSNEZVL2teVc2txuKFXi7TE42Dm2+axvCSRpd6V89IB1JTB0IyOuBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T02:41:08.403620Z","bundle_sha256":"0777376f6076548b8b071877b0570d5607b5c90a6ffc6cf1c2d02380bd72fcc2"}}