Pith Number

pith:T5TFHK3U

pith:2000:T5TFHK3UGT6EBRCTYM2ONDZSR7

not attested not anchored not stored refs pending

Theorems on gravitational time delay and related issues

Robert M. Wald, Sijie Gao

arxiv:gr-qc/0007021 v2 · 2000-07-11 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5TFHK3UGT6EBRCTYM2ONDZSR7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

6 papers in Pith

Probabilistic Causality from Graviton Fluctuations

Curious QNEIs from QNEC: New Bounds on Null Energy in Quantum Field Theory

Photon spheres and bulk probes in $\text{AdS}_3$/$\text{CFT}_2$: the quantum BTZ black hole

Cone hierarchy and the screening of matter by gravity

On the Asymptotic Causal Structure in Gravitational EFTs

Receipt and verification

First computed	2026-07-04T16:19:40.244760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f6653ab7434fc40c453c334e68f328fdbf26a49a981792cb8d729967b71f95e

Aliases

arxiv: gr-qc/0007021 · arxiv_version: gr-qc/0007021v2 · doi: 10.48550/arxiv.gr-qc/0007021 · pith_short_12: T5TFHK3UGT6E · pith_short_16: T5TFHK3UGT6EBRCT · pith_short_8: T5TFHK3U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T5TFHK3UGT6EBRCTYM2ONDZSR7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9f6653ab7434fc40c453c334e68f328fdbf26a49a981792cb8d729967b71f95e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55304ec19589974d7f3a00234a7931606db13c1be71671aa84ae4694434a4d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-07-11T15:12:16Z",
    "title_canon_sha256": "84c3864136e04851fe02c0d51508f9909f004b94d872ba23ef38999127438fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0007021",
    "kind": "arxiv",
    "version": 2
  }
}