{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XK53XJRRKGT6OT63YIBI3JYSUK","short_pith_number":"pith:XK53XJRR","canonical_record":{"source":{"id":"1312.1853","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-06T13:16:20Z","cross_cats_sorted":[],"title_canon_sha256":"b4d08bba6303ae0d5fe706211957fd5f9fbae4db10acbd210ceb4c0805ed9a9a","abstract_canon_sha256":"05020104636ac08041f50ef68f74db3d56bd4f230302b5d56366661042780432"},"schema_version":"1.0"},"canonical_sha256":"babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953","source":{"kind":"arxiv","id":"1312.1853","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1853","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1853v2","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1853","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"XK53XJRRKGT6","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XK53XJRRKGT6OT63","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XK53XJRR","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XK53XJRRKGT6OT63YIBI3JYSUK","target":"record","payload":{"canonical_record":{"source":{"id":"1312.1853","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-06T13:16:20Z","cross_cats_sorted":[],"title_canon_sha256":"b4d08bba6303ae0d5fe706211957fd5f9fbae4db10acbd210ceb4c0805ed9a9a","abstract_canon_sha256":"05020104636ac08041f50ef68f74db3d56bd4f230302b5d56366661042780432"},"schema_version":"1.0"},"canonical_sha256":"babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:06.108391Z","signature_b64":"jCsGkpjfdpZrIQI3VzfYV2TS8naLXKyUxSLHGwNBRgJg+RX5rxFNDEpKDmwsDdAGE7bQQcDIsA+Gga+V2lB0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953","last_reissued_at":"2026-05-18T03:04:06.107869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:06.107869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.1853","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":"2026-05-18T03:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAZzUkp9yUpbmaN6TyoU/Ef9F9AybGPyLl9ZgPdtbBw2nsDSXhi4IGGct6cr/w6sQgRLAYgt68SPtCRpQuj7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:31:05.674261Z"},"content_sha256":"02433dde6cdea018d31d3b5ce42a38b75131ad4ae04f31b56a48356b83dc07e8","schema_version":"1.0","event_id":"sha256:02433dde6cdea018d31d3b5ce42a38b75131ad4ae04f31b56a48356b83dc07e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XK53XJRRKGT6OT63YIBI3JYSUK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Une loi de r\\'eciprocit\\'e explicite pour le polylogarithme elliptique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Francesco Lemma, Shanwen Wang","submitted_at":"2013-12-06T13:16:20Z","abstract_excerpt":"We construct a dual exponential map which relates the $p$-adic Eisenstein classes to Eisenstein series. From this map, we deduce a compatibility between the $p$-adic realization and the de Rham realization of the torsion sections of the elliptic polylogarithm prosheaf."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1853","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:04:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ALtbQLv9dtyQUBu1Nqlq+1uqTnr5Kwamc965XwOCTFd8InkgCUGkI+fuA1G9OgSdEyjGvmCrlmV1dp2dczVXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T05:31:05.674620Z"},"content_sha256":"6a3235067a4ffca1c22e1b1e952729f32d724373c3a014fe293a44655d859a2b","schema_version":"1.0","event_id":"sha256:6a3235067a4ffca1c22e1b1e952729f32d724373c3a014fe293a44655d859a2b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XK53XJRRKGT6OT63YIBI3JYSUK/bundle.json","state_url":"https://pith.science/pith/XK53XJRRKGT6OT63YIBI3JYSUK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XK53XJRRKGT6OT63YIBI3JYSUK/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":"2026-06-23T05:31:05Z","links":{"resolver":"https://pith.science/pith/XK53XJRRKGT6OT63YIBI3JYSUK","bundle":"https://pith.science/pith/XK53XJRRKGT6OT63YIBI3JYSUK/bundle.json","state":"https://pith.science/pith/XK53XJRRKGT6OT63YIBI3JYSUK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XK53XJRRKGT6OT63YIBI3JYSUK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XK53XJRRKGT6OT63YIBI3JYSUK","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":"05020104636ac08041f50ef68f74db3d56bd4f230302b5d56366661042780432","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-06T13:16:20Z","title_canon_sha256":"b4d08bba6303ae0d5fe706211957fd5f9fbae4db10acbd210ceb4c0805ed9a9a"},"schema_version":"1.0","source":{"id":"1312.1853","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1853","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1853v2","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1853","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"XK53XJRRKGT6","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XK53XJRRKGT6OT63","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XK53XJRR","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:6a3235067a4ffca1c22e1b1e952729f32d724373c3a014fe293a44655d859a2b","target":"graph","created_at":"2026-05-18T03:04:06Z","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 construct a dual exponential map which relates the $p$-adic Eisenstein classes to Eisenstein series. From this map, we deduce a compatibility between the $p$-adic realization and the de Rham realization of the torsion sections of the elliptic polylogarithm prosheaf.","authors_text":"Francesco Lemma, Shanwen Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-06T13:16:20Z","title":"Une loi de r\\'eciprocit\\'e explicite pour le polylogarithme elliptique"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1853","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":"sha256:02433dde6cdea018d31d3b5ce42a38b75131ad4ae04f31b56a48356b83dc07e8","target":"record","created_at":"2026-05-18T03:04:06Z","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":"05020104636ac08041f50ef68f74db3d56bd4f230302b5d56366661042780432","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-06T13:16:20Z","title_canon_sha256":"b4d08bba6303ae0d5fe706211957fd5f9fbae4db10acbd210ceb4c0805ed9a9a"},"schema_version":"1.0","source":{"id":"1312.1853","kind":"arxiv","version":2}},"canonical_sha256":"babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"babbbba63151a7e74fdbc2028da712a2820c6222c0ea3b06ab33a46fb63fc953","first_computed_at":"2026-05-18T03:04:06.107869Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:06.107869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jCsGkpjfdpZrIQI3VzfYV2TS8naLXKyUxSLHGwNBRgJg+RX5rxFNDEpKDmwsDdAGE7bQQcDIsA+Gga+V2lB0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:06.108391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1853","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02433dde6cdea018d31d3b5ce42a38b75131ad4ae04f31b56a48356b83dc07e8","sha256:6a3235067a4ffca1c22e1b1e952729f32d724373c3a014fe293a44655d859a2b"],"state_sha256":"b7b78ce242545a811840f8a4b9f9b917998d84568d7bb0b3aaff162e4677b380"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dhvYk06yW77mYWrkJa/3j3izbMyDF+X849tqLTxziR3JUe+kqZW+O3Xp2CWsAwdOhLSVGQalWufqBXkmSWM/Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T05:31:05.676541Z","bundle_sha256":"45fd5555a4e6971fdae8da9c81ea6b23fc6b8aad6b1fe6fd408979c017d1cca7"}}