{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LRYIMLKAEIHDGKOMQAWQQRHPCK","short_pith_number":"pith:LRYIMLKA","canonical_record":{"source":{"id":"2405.03681","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-05-06T17:56:59Z","cross_cats_sorted":[],"title_canon_sha256":"79b41312f2cfdd6592fddab5b3aff8bb8248966dc7ea299d7713483331235940","abstract_canon_sha256":"eb0e568b607aadec31bb520240a57e0abfd52b39e4a29737a5db8ebfa0cec11e"},"schema_version":"1.0"},"canonical_sha256":"5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28","source":{"kind":"arxiv","id":"2405.03681","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.03681","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"2405.03681v2","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03681","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"LRYIMLKAEIHD","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_16","alias_value":"LRYIMLKAEIHDGKOM","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_8","alias_value":"LRYIMLKA","created_at":"2026-07-01T14:23:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LRYIMLKAEIHDGKOMQAWQQRHPCK","target":"record","payload":{"canonical_record":{"source":{"id":"2405.03681","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-05-06T17:56:59Z","cross_cats_sorted":[],"title_canon_sha256":"79b41312f2cfdd6592fddab5b3aff8bb8248966dc7ea299d7713483331235940","abstract_canon_sha256":"eb0e568b607aadec31bb520240a57e0abfd52b39e4a29737a5db8ebfa0cec11e"},"schema_version":"1.0"},"canonical_sha256":"5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T14:23:05.450579Z","signature_b64":"aoFxPJtJhJkvqsyyvHMiBfZSsdy9n8nsUAhoHCbXKNjtokNOtP57XmoCuUsT9TXWA1PBPWvBNTARAql+LibnCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28","last_reissued_at":"2026-07-01T14:23:05.450105Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T14:23:05.450105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.03681","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":"2026-07-01T14:23:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZySJT/ZzRdf9ijkNjZdHo1qbdkaUBmimUwJ31Ok8AXLrPR23WW1U/ngOcXMY27zK13yZRKE2dSCUlp/F7be7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T15:02:11.119067Z"},"content_sha256":"ca8d00454f1b2cff3dc4524b82a38278a82e9553c3a7e69105a4eb5bd4220319","schema_version":"1.0","event_id":"sha256:ca8d00454f1b2cff3dc4524b82a38278a82e9553c3a7e69105a4eb5bd4220319"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LRYIMLKAEIHDGKOMQAWQQRHPCK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Low complexity among principal fully irreducible elements of Out($F_3$)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Catherine Eva Pfaff, Naomi Andrew, Paige Hillen, Robert Alonzo Lyman","submitted_at":"2024-05-06T17:56:59Z","abstract_excerpt":"We find the shortest realized stretch factor for a fully irreducible $\\varphi\\in\\mathrm{Out}(F_3)$ and show that it is realized by a \"principal\" fully irreducible element. We also show that it is the only principal fully irreducible produced by a single fold in any rank."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03681","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.03681/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":"2026-07-01T14:23:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wRuikjZSn+5soau+eV5nMLOqXHkf/YktWFfsPh84U1NNNw4jid8lGnPdjeHAantxFNQj8x/axqXYI5q3YovvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T15:02:11.119441Z"},"content_sha256":"34b3516665be1f1cc8c03f69837636898942117eb9d0b17e9063ce5aa9008dab","schema_version":"1.0","event_id":"sha256:34b3516665be1f1cc8c03f69837636898942117eb9d0b17e9063ce5aa9008dab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/bundle.json","state_url":"https://pith.science/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/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":"2026-07-03T15:02:11Z","links":{"resolver":"https://pith.science/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK","bundle":"https://pith.science/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/bundle.json","state":"https://pith.science/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LRYIMLKAEIHDGKOMQAWQQRHPCK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LRYIMLKAEIHDGKOMQAWQQRHPCK","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":"eb0e568b607aadec31bb520240a57e0abfd52b39e4a29737a5db8ebfa0cec11e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-05-06T17:56:59Z","title_canon_sha256":"79b41312f2cfdd6592fddab5b3aff8bb8248966dc7ea299d7713483331235940"},"schema_version":"1.0","source":{"id":"2405.03681","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.03681","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"2405.03681v2","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.03681","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"LRYIMLKAEIHD","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_16","alias_value":"LRYIMLKAEIHDGKOM","created_at":"2026-07-01T14:23:05Z"},{"alias_kind":"pith_short_8","alias_value":"LRYIMLKA","created_at":"2026-07-01T14:23:05Z"}],"graph_snapshots":[{"event_id":"sha256:34b3516665be1f1cc8c03f69837636898942117eb9d0b17e9063ce5aa9008dab","target":"graph","created_at":"2026-07-01T14:23:05Z","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/2405.03681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find the shortest realized stretch factor for a fully irreducible $\\varphi\\in\\mathrm{Out}(F_3)$ and show that it is realized by a \"principal\" fully irreducible element. We also show that it is the only principal fully irreducible produced by a single fold in any rank.","authors_text":"Catherine Eva Pfaff, Naomi Andrew, Paige Hillen, Robert Alonzo Lyman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-05-06T17:56:59Z","title":"Low complexity among principal fully irreducible elements of Out($F_3$)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.03681","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:ca8d00454f1b2cff3dc4524b82a38278a82e9553c3a7e69105a4eb5bd4220319","target":"record","created_at":"2026-07-01T14:23:05Z","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":"eb0e568b607aadec31bb520240a57e0abfd52b39e4a29737a5db8ebfa0cec11e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-05-06T17:56:59Z","title_canon_sha256":"79b41312f2cfdd6592fddab5b3aff8bb8248966dc7ea299d7713483331235940"},"schema_version":"1.0","source":{"id":"2405.03681","kind":"arxiv","version":2}},"canonical_sha256":"5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c70862d40220e3329cc802d0844ef12a96ba3fbbc3d8b9c91056c70e7f9aa28","first_computed_at":"2026-07-01T14:23:05.450105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T14:23:05.450105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aoFxPJtJhJkvqsyyvHMiBfZSsdy9n8nsUAhoHCbXKNjtokNOtP57XmoCuUsT9TXWA1PBPWvBNTARAql+LibnCw==","signature_status":"signed_v1","signed_at":"2026-07-01T14:23:05.450579Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.03681","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca8d00454f1b2cff3dc4524b82a38278a82e9553c3a7e69105a4eb5bd4220319","sha256:34b3516665be1f1cc8c03f69837636898942117eb9d0b17e9063ce5aa9008dab"],"state_sha256":"dee276eaef78990c39f6b10aa9b841789880473f72a20d636fca1278db6da49c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xtZKpYb7x2cJodXmmhNH7xM4wt4HcIAI8g00/Wc++nBe39x8siN/0yRg0tFjpetKZiD9HtkXkKB/PGa3bnsOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T15:02:11.121939Z","bundle_sha256":"621e4127af720e10862c9c8521aa0b32346a9577e1fd78b8659577987f6a6bdc"}}