{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4Z4DDGZX6QALBUKOVZI7W4BZAK","short_pith_number":"pith:4Z4DDGZX","canonical_record":{"source":{"id":"1507.05669","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-16T20:00:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"217db708cc5421585979aca8179dde1681272e75af6a88df0ffee3548da6f08e","abstract_canon_sha256":"91f1d84233de4a799811607dc37bbc55c0999719b91f09e581577f46f918ebe9"},"schema_version":"1.0"},"canonical_sha256":"e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed","source":{"kind":"arxiv","id":"1507.05669","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05669","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05669v3","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05669","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"4Z4DDGZX6QAL","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4Z4DDGZX6QALBUKO","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4Z4DDGZX","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4Z4DDGZX6QALBUKOVZI7W4BZAK","target":"record","payload":{"canonical_record":{"source":{"id":"1507.05669","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-16T20:00:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"217db708cc5421585979aca8179dde1681272e75af6a88df0ffee3548da6f08e","abstract_canon_sha256":"91f1d84233de4a799811607dc37bbc55c0999719b91f09e581577f46f918ebe9"},"schema_version":"1.0"},"canonical_sha256":"e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:33.051512Z","signature_b64":"wT8b/iPWNrWMz2RzyRI2Pz/IjcCHk2cG4mzc1VnXtTzHQ5EooS/eIXlZ5kVnWIa3WO5gKFWhN5qMZTo0NEU8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed","last_reissued_at":"2026-05-18T01:17:33.050886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:33.050886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.05669","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v2ANEKSDMepgEYyJQBsG/gdruR906VbBPyK/iMXF1Av7vMNK6ZvSgRLZ5SKbBInz/6F65S0Jma6jEPZqR8AgDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:07:40.465065Z"},"content_sha256":"c6e5a16b01c06e5d9edd47728879aa2ab613bc190ba35cb784dbce462ceef600","schema_version":"1.0","event_id":"sha256:c6e5a16b01c06e5d9edd47728879aa2ab613bc190ba35cb784dbce462ceef600"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4Z4DDGZX6QALBUKOVZI7W4BZAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spacetime with zero point length is two-dimensional at the Planck scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Dawood Kothawala, Sumanta Chakraborty, T. Padmanabhan","submitted_at":"2015-07-16T20:00:58Z","abstract_excerpt":"It is generally believed that any quantum theory of gravity should have a generic feature --- a quantum of length. We provide a physical ansatz to obtain an effective non-local metric tensor starting from the standard metric tensor such that the spacetime acquires a zero-point-length $\\ell _{0}$ of the order of the Planck length $L_{P}$. This prescription leads to several remarkable consequences. In particular, the Euclidean volume $V_D(\\ell,\\ell_{0})$ in a $D$-dimensional spacetime of a region of size $\\ell $ scales as $V_D(\\ell, \\ell _{0}) \\propto \\ell_{0}^{D-2} \\ell^2$ when $\\ell \\sim \\ell_"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05669","kind":"arxiv","version":3},"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":"2026-05-18T01:17:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kux3xKn7/8tCLF8W12bi8TmyaKxDWdttVm1uFcuV/FHuSDijG0PH/rlM0J95DrqukfSTTqwuxSJxmsg9laWmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:07:40.465427Z"},"content_sha256":"6d3761cb5e807aab5a0978c7d5fc95e9f4e033f9352ebb11d52131ba269e295a","schema_version":"1.0","event_id":"sha256:6d3761cb5e807aab5a0978c7d5fc95e9f4e033f9352ebb11d52131ba269e295a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/bundle.json","state_url":"https://pith.science/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/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":"2026-06-30T16:07:40Z","links":{"resolver":"https://pith.science/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK","bundle":"https://pith.science/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/bundle.json","state":"https://pith.science/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4Z4DDGZX6QALBUKOVZI7W4BZAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4Z4DDGZX6QALBUKOVZI7W4BZAK","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":"91f1d84233de4a799811607dc37bbc55c0999719b91f09e581577f46f918ebe9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-16T20:00:58Z","title_canon_sha256":"217db708cc5421585979aca8179dde1681272e75af6a88df0ffee3548da6f08e"},"schema_version":"1.0","source":{"id":"1507.05669","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.05669","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"arxiv_version","alias_value":"1507.05669v3","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.05669","created_at":"2026-05-18T01:17:33Z"},{"alias_kind":"pith_short_12","alias_value":"4Z4DDGZX6QAL","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4Z4DDGZX6QALBUKO","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4Z4DDGZX","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:6d3761cb5e807aab5a0978c7d5fc95e9f4e033f9352ebb11d52131ba269e295a","target":"graph","created_at":"2026-05-18T01:17:33Z","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 generally believed that any quantum theory of gravity should have a generic feature --- a quantum of length. We provide a physical ansatz to obtain an effective non-local metric tensor starting from the standard metric tensor such that the spacetime acquires a zero-point-length $\\ell _{0}$ of the order of the Planck length $L_{P}$. This prescription leads to several remarkable consequences. In particular, the Euclidean volume $V_D(\\ell,\\ell_{0})$ in a $D$-dimensional spacetime of a region of size $\\ell $ scales as $V_D(\\ell, \\ell _{0}) \\propto \\ell_{0}^{D-2} \\ell^2$ when $\\ell \\sim \\ell_","authors_text":"Dawood Kothawala, Sumanta Chakraborty, T. Padmanabhan","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-16T20:00:58Z","title":"Spacetime with zero point length is two-dimensional at the Planck scale"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.05669","kind":"arxiv","version":3},"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:c6e5a16b01c06e5d9edd47728879aa2ab613bc190ba35cb784dbce462ceef600","target":"record","created_at":"2026-05-18T01:17:33Z","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":"91f1d84233de4a799811607dc37bbc55c0999719b91f09e581577f46f918ebe9","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-16T20:00:58Z","title_canon_sha256":"217db708cc5421585979aca8179dde1681272e75af6a88df0ffee3548da6f08e"},"schema_version":"1.0","source":{"id":"1507.05669","kind":"arxiv","version":3}},"canonical_sha256":"e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e678319b37f400b0d14eae51fb703902923158fad62458c269cf08b2fbf785ed","first_computed_at":"2026-05-18T01:17:33.050886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:33.050886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wT8b/iPWNrWMz2RzyRI2Pz/IjcCHk2cG4mzc1VnXtTzHQ5EooS/eIXlZ5kVnWIa3WO5gKFWhN5qMZTo0NEU8BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:33.051512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.05669","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6e5a16b01c06e5d9edd47728879aa2ab613bc190ba35cb784dbce462ceef600","sha256:6d3761cb5e807aab5a0978c7d5fc95e9f4e033f9352ebb11d52131ba269e295a"],"state_sha256":"bf94480a60c051f26effaef208e16108900a83e6a5c39eeb242905fcb46355a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1UpQ4T8QLou3P4o21/lYxaqdjfkVI7Qgu7xsGx1b8aq0ZAQYoJ0I8Kqzi1QX0Fmiw/9bV1z3t1BKGPiuB8SXBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:07:40.467224Z","bundle_sha256":"b385c87540d59d98a487beffb6bc7924267e8941f6b8d37ce701911ed0c5bbc3"}}