{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UW7ZGBCMZWWNMCMNHDHG6WOAIG","short_pith_number":"pith:UW7ZGBCM","schema_version":"1.0","canonical_sha256":"a5bf93044ccdacd6098d38ce6f59c041bcd90c847bff4d587977735786767f02","source":{"kind":"arxiv","id":"1606.06639","version":2},"attestation_state":"computed","paper":{"title":"Topological phases from higher gauge symmetry in 3+1D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Alex Bullivant, Jo\\~ao Faria Martins, Marcos Cal\\c{c}ada, Paul Martin, Zolt\\'an K\\'ad\\'ar","submitted_at":"2016-06-21T16:23:56Z","abstract_excerpt":"We propose an exactly solvable Hamiltonian for topological phases in $3+1$ dimensions utilising ideas from higher lattice gauge theory, where the gauge symmetry is given by a finite 2-group. We explicitly show that the model is a Hamiltonian realisation of Yetter's homotopy 2-type topological quantum field theory whereby the groundstate projector of the model defined on the manifold $M^3$ is given by the partition function of the underlying topological quantum field theory for $M^3\\times [0,1]$. We show that this result holds in any dimension and illustrate it by computing the ground state deg"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1606.06639","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-06-21T16:23:56Z","cross_cats_sorted":["hep-lat","math-ph","math.MP"],"title_canon_sha256":"d23b026358c2e07c1e17802e006f9ad6b2c214b37ce2fed96e7c3843b5db4668","abstract_canon_sha256":"5f4904dd31b76a55bcf5f0d050d98879ed9fd7947fbd3218758aa6c6758029fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:16.641088Z","signature_b64":"eeeEhGlHtTKYVcVQg+bgqtGJynLVskjwHGBu0V4NByG3ojMQG2Sf6WO8BEQcZyYKj5kFTXegaF1W/eMhGcxWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5bf93044ccdacd6098d38ce6f59c041bcd90c847bff4d587977735786767f02","last_reissued_at":"2026-05-18T00:46:16.640722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:16.640722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological phases from higher gauge symmetry in 3+1D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Alex Bullivant, Jo\\~ao Faria Martins, Marcos Cal\\c{c}ada, Paul Martin, Zolt\\'an K\\'ad\\'ar","submitted_at":"2016-06-21T16:23:56Z","abstract_excerpt":"We propose an exactly solvable Hamiltonian for topological phases in $3+1$ dimensions utilising ideas from higher lattice gauge theory, where the gauge symmetry is given by a finite 2-group. We explicitly show that the model is a Hamiltonian realisation of Yetter's homotopy 2-type topological quantum field theory whereby the groundstate projector of the model defined on the manifold $M^3$ is given by the partition function of the underlying topological quantum field theory for $M^3\\times [0,1]$. We show that this result holds in any dimension and illustrate it by computing the ground state deg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06639","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.06639","created_at":"2026-05-18T00:46:16.640776+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.06639v2","created_at":"2026-05-18T00:46:16.640776+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06639","created_at":"2026-05-18T00:46:16.640776+00:00"},{"alias_kind":"pith_short_12","alias_value":"UW7ZGBCMZWWN","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UW7ZGBCMZWWNMCMN","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UW7ZGBCM","created_at":"2026-05-18T12:30:46.583412+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG","json":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG.json","graph_json":"https://pith.science/api/pith-number/UW7ZGBCMZWWNMCMNHDHG6WOAIG/graph.json","events_json":"https://pith.science/api/pith-number/UW7ZGBCMZWWNMCMNHDHG6WOAIG/events.json","paper":"https://pith.science/paper/UW7ZGBCM"},"agent_actions":{"view_html":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG","download_json":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG.json","view_paper":"https://pith.science/paper/UW7ZGBCM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.06639&json=true","fetch_graph":"https://pith.science/api/pith-number/UW7ZGBCMZWWNMCMNHDHG6WOAIG/graph.json","fetch_events":"https://pith.science/api/pith-number/UW7ZGBCMZWWNMCMNHDHG6WOAIG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG/action/storage_attestation","attest_author":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG/action/author_attestation","sign_citation":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG/action/citation_signature","submit_replication":"https://pith.science/pith/UW7ZGBCMZWWNMCMNHDHG6WOAIG/action/replication_record"}},"created_at":"2026-05-18T00:46:16.640776+00:00","updated_at":"2026-05-18T00:46:16.640776+00:00"}