{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:DYPKQ4WYPFRPZZTFUTILU3JZZO","short_pith_number":"pith:DYPKQ4WY","canonical_record":{"source":{"id":"1006.4054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-21T12:39:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"ce6239cc199becc0af726d659e3c1981e2ae8cf35e114d4fc32c7cac5c7fb324","abstract_canon_sha256":"489273e43289f9a899dfc9fe47f6ba34b40f8c7251718dd953bfa23a1bc204a9"},"schema_version":"1.0"},"canonical_sha256":"1e1ea872d87962fce665a4d0ba6d39cba8e9ec17d01472d951e7f666d26852bd","source":{"kind":"arxiv","id":"1006.4054","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4054","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4054v1","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4054","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"DYPKQ4WYPFRP","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DYPKQ4WYPFRPZZTF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DYPKQ4WY","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:DYPKQ4WYPFRPZZTFUTILU3JZZO","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4054","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-21T12:39:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"ce6239cc199becc0af726d659e3c1981e2ae8cf35e114d4fc32c7cac5c7fb324","abstract_canon_sha256":"489273e43289f9a899dfc9fe47f6ba34b40f8c7251718dd953bfa23a1bc204a9"},"schema_version":"1.0"},"canonical_sha256":"1e1ea872d87962fce665a4d0ba6d39cba8e9ec17d01472d951e7f666d26852bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:44.108838Z","signature_b64":"JtRSNWzVs+rk04a1VmLACKwvXW+tMeV99wpeBh819cl/V0jel7tSyGEfIyWyzsehTwbLIOEHkwiTjkVVX2H1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e1ea872d87962fce665a4d0ba6d39cba8e9ec17d01472d951e7f666d26852bd","last_reissued_at":"2026-05-18T02:06:44.108064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:44.108064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4054","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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3LyLtu8OlRZUfrlDQbSuvnuO+rOy6QRFCP8jbbkfpuUTF9BRmqRtGjlDJLDlPwvRZxcpuNRLGP6WlHfv5scDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:05:13.481416Z"},"content_sha256":"1a42a5b87759cfd606244d4ae4486d7249a4c720c931f5aa192c8470b2e6ca00","schema_version":"1.0","event_id":"sha256:1a42a5b87759cfd606244d4ae4486d7249a4c720c931f5aa192c8470b2e6ca00"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:DYPKQ4WYPFRPZZTFUTILU3JZZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a conjecture about Dirac's delta representation using q-exponentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Chevreuil, A. Plastino, C. Vignat","submitted_at":"2010-06-21T12:39:44Z","abstract_excerpt":"A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4054","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":"2026-05-18T02:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jtF8O9aiTrZMjLId1UrLv0CvsQs7DUOKIWqJmdDLQavDv1YWO5J/9kE68D5ZwdTkn+yVriEyb2URSCDi/Q2mCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:05:13.481967Z"},"content_sha256":"7211dd0d55a2d659f3d365731a56bb1c98c1b06a8e98ffc4850673a27ba9a46b","schema_version":"1.0","event_id":"sha256:7211dd0d55a2d659f3d365731a56bb1c98c1b06a8e98ffc4850673a27ba9a46b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/bundle.json","state_url":"https://pith.science/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/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":"2026-05-31T11:05:13Z","links":{"resolver":"https://pith.science/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO","bundle":"https://pith.science/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/bundle.json","state":"https://pith.science/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYPKQ4WYPFRPZZTFUTILU3JZZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DYPKQ4WYPFRPZZTFUTILU3JZZO","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":"489273e43289f9a899dfc9fe47f6ba34b40f8c7251718dd953bfa23a1bc204a9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-21T12:39:44Z","title_canon_sha256":"ce6239cc199becc0af726d659e3c1981e2ae8cf35e114d4fc32c7cac5c7fb324"},"schema_version":"1.0","source":{"id":"1006.4054","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4054","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4054v1","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4054","created_at":"2026-05-18T02:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"DYPKQ4WYPFRP","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DYPKQ4WYPFRPZZTF","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DYPKQ4WY","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:7211dd0d55a2d659f3d365731a56bb1c98c1b06a8e98ffc4850673a27ba9a46b","target":"graph","created_at":"2026-05-18T02:06:44Z","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":"A new representation of Dirac's delta-distribution, based on the so-called q-exponentials, has been recently conjectured. We prove here that this conjecture is indeed valid.","authors_text":"A. Chevreuil, A. Plastino, C. Vignat","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-21T12:39:44Z","title":"On a conjecture about Dirac's delta representation using q-exponentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4054","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":"sha256:1a42a5b87759cfd606244d4ae4486d7249a4c720c931f5aa192c8470b2e6ca00","target":"record","created_at":"2026-05-18T02:06:44Z","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":"489273e43289f9a899dfc9fe47f6ba34b40f8c7251718dd953bfa23a1bc204a9","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-21T12:39:44Z","title_canon_sha256":"ce6239cc199becc0af726d659e3c1981e2ae8cf35e114d4fc32c7cac5c7fb324"},"schema_version":"1.0","source":{"id":"1006.4054","kind":"arxiv","version":1}},"canonical_sha256":"1e1ea872d87962fce665a4d0ba6d39cba8e9ec17d01472d951e7f666d26852bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e1ea872d87962fce665a4d0ba6d39cba8e9ec17d01472d951e7f666d26852bd","first_computed_at":"2026-05-18T02:06:44.108064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:44.108064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JtRSNWzVs+rk04a1VmLACKwvXW+tMeV99wpeBh819cl/V0jel7tSyGEfIyWyzsehTwbLIOEHkwiTjkVVX2H1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:44.108838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4054","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a42a5b87759cfd606244d4ae4486d7249a4c720c931f5aa192c8470b2e6ca00","sha256:7211dd0d55a2d659f3d365731a56bb1c98c1b06a8e98ffc4850673a27ba9a46b"],"state_sha256":"855069e0289441f967b822cccb8192232fe72fe581b59e74c0dde418ab4ff69b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k9B97lhqN16NJ8LLgkzjOOrtYakz2/b0lfgpRqdaf3LoDxDRFqXX3G/UUQ7Q/lYgh2EzvEoSUbB1VIdINadtCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:05:13.484663Z","bundle_sha256":"efbbb4a55648035259f3d1a0a3d5d59e2ddd0ffec288c145b7dea83571c69941"}}