{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:2ZFK6SYQPUNFTMUCKN3LMJXU2E","short_pith_number":"pith:2ZFK6SYQ","canonical_record":{"source":{"id":"hep-th/9410053","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-10-07T21:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"7fe425bde47b71d94d051ba8701ef744e23636c5770f4d5462dfdc0192985b38","abstract_canon_sha256":"7b4333c440fd3709da93c41dd197190573ec42a32f88bb9ce60d369c498ce9c4"},"schema_version":"1.0"},"canonical_sha256":"d64aaf4b107d1a59b2825376b626f4d1344e671dc1ffa01a65e0ff4b3c223bd2","source":{"kind":"arxiv","id":"hep-th/9410053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9410053","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9410053v1","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9410053","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"pith_short_12","alias_value":"2ZFK6SYQPUNF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2ZFK6SYQPUNFTMUC","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2ZFK6SYQ","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:2ZFK6SYQPUNFTMUCKN3LMJXU2E","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9410053","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-10-07T21:55:45Z","cross_cats_sorted":[],"title_canon_sha256":"7fe425bde47b71d94d051ba8701ef744e23636c5770f4d5462dfdc0192985b38","abstract_canon_sha256":"7b4333c440fd3709da93c41dd197190573ec42a32f88bb9ce60d369c498ce9c4"},"schema_version":"1.0"},"canonical_sha256":"d64aaf4b107d1a59b2825376b626f4d1344e671dc1ffa01a65e0ff4b3c223bd2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:41.317685Z","signature_b64":"o+jUtddWz8T1YGvaK+PY7D2wROpRPv8AiQPLS1yxow1BrzF+tdz5XPdcBVjrcRPhEjLRuIQittS3/P++W/csAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d64aaf4b107d1a59b2825376b626f4d1344e671dc1ffa01a65e0ff4b3c223bd2","last_reissued_at":"2026-05-18T01:38:41.317179Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:41.317179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9410053","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":"2026-05-18T01:38:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P1N2e8NAmBmACZXKsTIEJ+FLWn/fY0q6PlxdBID9hdLkEysTBVbeac712Z34b9xCUIQksssipz2gaUqFZppjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:19:30.451021Z"},"content_sha256":"4865315f22b2754d13b3b361bafca9cb6d78caa044c3ee155187cdd387308e6b","schema_version":"1.0","event_id":"sha256:4865315f22b2754d13b3b361bafca9cb6d78caa044c3ee155187cdd387308e6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:2ZFK6SYQPUNFTMUCKN3LMJXU2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Poisson Algebra of Wilson Loops in Four-Dimensional Yang-Mills Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"O.T. Turgut, S.G. Rajeev","submitted_at":"1994-10-07T21:55:45Z","abstract_excerpt":"We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge theories the result is a Lie algebra while for SU(N) gauge theories it is a quadratic algebra. We also study the identities satsfied by the gauge invariant observables. We suggest that the phase space of a Yang--Mills theory is a co--adjoint orbit of our Poisson algebra; some partial results in this direction are obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9410053","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":""},"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":"2026-05-18T01:38:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TkqIFnqBnHmcCwVzNisLTM7cc3/xCxn3ek4TA2z036/GtyypSUnp9at1gWCKSk4LNUtovz81xq8qY6NlvnRcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:19:30.451374Z"},"content_sha256":"492ed1acc91acce26419817f5cb0bb67f6b6b4806f73fefb499f7e26a02547c7","schema_version":"1.0","event_id":"sha256:492ed1acc91acce26419817f5cb0bb67f6b6b4806f73fefb499f7e26a02547c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/bundle.json","state_url":"https://pith.science/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/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":"2026-06-01T22:19:30Z","links":{"resolver":"https://pith.science/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E","bundle":"https://pith.science/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/bundle.json","state":"https://pith.science/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2ZFK6SYQPUNFTMUCKN3LMJXU2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:2ZFK6SYQPUNFTMUCKN3LMJXU2E","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":"7b4333c440fd3709da93c41dd197190573ec42a32f88bb9ce60d369c498ce9c4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-10-07T21:55:45Z","title_canon_sha256":"7fe425bde47b71d94d051ba8701ef744e23636c5770f4d5462dfdc0192985b38"},"schema_version":"1.0","source":{"id":"hep-th/9410053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9410053","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9410053v1","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9410053","created_at":"2026-05-18T01:38:41Z"},{"alias_kind":"pith_short_12","alias_value":"2ZFK6SYQPUNF","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"2ZFK6SYQPUNFTMUC","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"2ZFK6SYQ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:492ed1acc91acce26419817f5cb0bb67f6b6b4806f73fefb499f7e26a02547c7","target":"graph","created_at":"2026-05-18T01:38:41Z","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":"We formulate the canonical structure of Yang--Mills theory in terms of Poisson brackets of gauge invariant observables analogous to Wilson loops. This algebra is non--trivial and tractable in a light--cone formulation. For U(N) gauge theories the result is a Lie algebra while for SU(N) gauge theories it is a quadratic algebra. We also study the identities satsfied by the gauge invariant observables. We suggest that the phase space of a Yang--Mills theory is a co--adjoint orbit of our Poisson algebra; some partial results in this direction are obtained.","authors_text":"O.T. Turgut, S.G. Rajeev","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1994-10-07T21:55:45Z","title":"Poisson Algebra of Wilson Loops in Four-Dimensional Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9410053","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":"sha256:4865315f22b2754d13b3b361bafca9cb6d78caa044c3ee155187cdd387308e6b","target":"record","created_at":"2026-05-18T01:38:41Z","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":"7b4333c440fd3709da93c41dd197190573ec42a32f88bb9ce60d369c498ce9c4","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1994-10-07T21:55:45Z","title_canon_sha256":"7fe425bde47b71d94d051ba8701ef744e23636c5770f4d5462dfdc0192985b38"},"schema_version":"1.0","source":{"id":"hep-th/9410053","kind":"arxiv","version":1}},"canonical_sha256":"d64aaf4b107d1a59b2825376b626f4d1344e671dc1ffa01a65e0ff4b3c223bd2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d64aaf4b107d1a59b2825376b626f4d1344e671dc1ffa01a65e0ff4b3c223bd2","first_computed_at":"2026-05-18T01:38:41.317179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:41.317179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o+jUtddWz8T1YGvaK+PY7D2wROpRPv8AiQPLS1yxow1BrzF+tdz5XPdcBVjrcRPhEjLRuIQittS3/P++W/csAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:41.317685Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9410053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4865315f22b2754d13b3b361bafca9cb6d78caa044c3ee155187cdd387308e6b","sha256:492ed1acc91acce26419817f5cb0bb67f6b6b4806f73fefb499f7e26a02547c7"],"state_sha256":"26771f960d5851d86b3e189d41a6f2f33d655d5e172c55f0743e10a9d8366dc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RGcFxkkubZ/v7NrL4KpTuBoePRX4kkFCFzoY/W692joNJb1OgZJHyJrYlyPD2qVmYKvXtChDGWi3XHkfAb7NCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:19:30.453327Z","bundle_sha256":"711c416e18d7486b34dfcc75e2529d617ff77a4626e95737adb245ae1d59abbc"}}