{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:F3LQ3LJRTLHTQQSVEVS6RGMYX7","short_pith_number":"pith:F3LQ3LJR","canonical_record":{"source":{"id":"1602.07546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-23T06:53:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c0530b9e4520903f5d1989474112991c1df45e4f7212911dceb5e03de0b5c640","abstract_canon_sha256":"c3134f05754582301c87f4d9c1520ee3b170bf405f64445b3e9b529a92142853"},"schema_version":"1.0"},"canonical_sha256":"2ed70dad319acf3842552565e89998bff17736815f3271410e82bee2aa5f01ce","source":{"kind":"arxiv","id":"1602.07546","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07546","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07546v1","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07546","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"F3LQ3LJRTLHT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F3LQ3LJRTLHTQQSV","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F3LQ3LJR","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:F3LQ3LJRTLHTQQSVEVS6RGMYX7","target":"record","payload":{"canonical_record":{"source":{"id":"1602.07546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-23T06:53:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c0530b9e4520903f5d1989474112991c1df45e4f7212911dceb5e03de0b5c640","abstract_canon_sha256":"c3134f05754582301c87f4d9c1520ee3b170bf405f64445b3e9b529a92142853"},"schema_version":"1.0"},"canonical_sha256":"2ed70dad319acf3842552565e89998bff17736815f3271410e82bee2aa5f01ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:04.885072Z","signature_b64":"yA5MvrJmHn40qdKvpsiOBwFP3JC8mnS/jpyuWDJ/4SbNiqMQK8aFBeDinyS5rmo4dUjNVLzyfdhp/PZRACUlDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ed70dad319acf3842552565e89998bff17736815f3271410e82bee2aa5f01ce","last_reissued_at":"2026-05-18T01:11:04.884476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:04.884476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.07546","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":"2026-05-18T01:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1tx634QtW6gI6o3YSsuSqcnN3pgg6Sno8oOTbmK5czhUsZFEklubQvfJjPP5sKJFytOm8x/Hy9z2P/Z7WUmnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:23:34.585139Z"},"content_sha256":"d70df7d4646817a3e5f1a88d09d9f8e5a8e37d2b69361ae9e553fe80eb4c1011","schema_version":"1.0","event_id":"sha256:d70df7d4646817a3e5f1a88d09d9f8e5a8e37d2b69361ae9e553fe80eb4c1011"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:F3LQ3LJRTLHTQQSVEVS6RGMYX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Principle for Gravity with Null and Non-null boundaries: A Unified Boundary Counter-term","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Krishnamohan Parattu, Sumanta Chakraborty, T. Padmanabhan","submitted_at":"2016-02-23T06:53:41Z","abstract_excerpt":"It is common knowledge that the Einstein-Hilbert action does not furnish a well-posed variational principle. The usual solution to this problem is to add an extra boundary term to the action, called a counter-term, so that the variational principle becomes well-posed. When the boundary is spacelike or timelike, the Gibbons-Hawking-York counter-term is the most widely used. For null boundaries, we had proposed a counter-term in a previous paper. In this paper, we extend the previous analysis and propose a counter-term that can be used to eliminate variations of the \"off-the-surface\" derivatives"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07546","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":"2026-05-18T01:11:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9QdU2kkCd9fjghqxbIvsuiRIElY6Zd5fchkA5JlCSuV8erMkhQWmmb/g9QXzobYM2WceZeSh6+fgC4fjGS5VCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T22:23:34.585904Z"},"content_sha256":"7ca6f7f67393b68582a9a6c77d52f9fc3c0718c5725023e4d1308b72adc2a890","schema_version":"1.0","event_id":"sha256:7ca6f7f67393b68582a9a6c77d52f9fc3c0718c5725023e4d1308b72adc2a890"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/bundle.json","state_url":"https://pith.science/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/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":"2026-05-24T22:23:34Z","links":{"resolver":"https://pith.science/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7","bundle":"https://pith.science/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/bundle.json","state":"https://pith.science/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3LQ3LJRTLHTQQSVEVS6RGMYX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F3LQ3LJRTLHTQQSVEVS6RGMYX7","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":"c3134f05754582301c87f4d9c1520ee3b170bf405f64445b3e9b529a92142853","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-23T06:53:41Z","title_canon_sha256":"c0530b9e4520903f5d1989474112991c1df45e4f7212911dceb5e03de0b5c640"},"schema_version":"1.0","source":{"id":"1602.07546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07546","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07546v1","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07546","created_at":"2026-05-18T01:11:04Z"},{"alias_kind":"pith_short_12","alias_value":"F3LQ3LJRTLHT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F3LQ3LJRTLHTQQSV","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F3LQ3LJR","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:7ca6f7f67393b68582a9a6c77d52f9fc3c0718c5725023e4d1308b72adc2a890","target":"graph","created_at":"2026-05-18T01:11:04Z","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":"It is common knowledge that the Einstein-Hilbert action does not furnish a well-posed variational principle. The usual solution to this problem is to add an extra boundary term to the action, called a counter-term, so that the variational principle becomes well-posed. When the boundary is spacelike or timelike, the Gibbons-Hawking-York counter-term is the most widely used. For null boundaries, we had proposed a counter-term in a previous paper. In this paper, we extend the previous analysis and propose a counter-term that can be used to eliminate variations of the \"off-the-surface\" derivatives","authors_text":"Krishnamohan Parattu, Sumanta Chakraborty, T. Padmanabhan","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-23T06:53:41Z","title":"Variational Principle for Gravity with Null and Non-null boundaries: A Unified Boundary Counter-term"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07546","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:d70df7d4646817a3e5f1a88d09d9f8e5a8e37d2b69361ae9e553fe80eb4c1011","target":"record","created_at":"2026-05-18T01:11:04Z","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":"c3134f05754582301c87f4d9c1520ee3b170bf405f64445b3e9b529a92142853","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-23T06:53:41Z","title_canon_sha256":"c0530b9e4520903f5d1989474112991c1df45e4f7212911dceb5e03de0b5c640"},"schema_version":"1.0","source":{"id":"1602.07546","kind":"arxiv","version":1}},"canonical_sha256":"2ed70dad319acf3842552565e89998bff17736815f3271410e82bee2aa5f01ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ed70dad319acf3842552565e89998bff17736815f3271410e82bee2aa5f01ce","first_computed_at":"2026-05-18T01:11:04.884476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:04.884476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yA5MvrJmHn40qdKvpsiOBwFP3JC8mnS/jpyuWDJ/4SbNiqMQK8aFBeDinyS5rmo4dUjNVLzyfdhp/PZRACUlDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:04.885072Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d70df7d4646817a3e5f1a88d09d9f8e5a8e37d2b69361ae9e553fe80eb4c1011","sha256:7ca6f7f67393b68582a9a6c77d52f9fc3c0718c5725023e4d1308b72adc2a890"],"state_sha256":"a6c20019c9041de01ecc052396829262659519de960a818627eea783810810a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ftg2ZruH7XVDMPR1LFREjPjv5MawAfwHzORSRS6r45d2Ld2aP3clJ+94sNanPPcIojrBenrJ6TpLdAj4ag3PBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T22:23:34.589924Z","bundle_sha256":"93bae004e3d8f2ac070623480fa7390f9c2f2176690883de50e5af02984ea5f0"}}