Pith Number

pith:ZPE6VQW6

pith:2021:ZPE6VQW6G2OHVRTAD4QAJI4KKB

not attested not anchored not stored refs pending

A Poynting theorem formulation for the gravitational wave stress pseudo tensor

Steven A. Balbus

arxiv:2109.04163 v1 · 2021-09-09 · 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{ZPE6VQW6G2OHVRTAD4QAJI4KKB}

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.

Receipt and verification

First computed	2026-07-05T03:51:09.606771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc9eac2de369c7ac6601f2004a38a50739bba79f9fc4dee521b6bcdf0beb2dd

Aliases

arxiv: 2109.04163 · arxiv_version: 2109.04163v1 · doi: 10.48550/arxiv.2109.04163 · pith_short_12: ZPE6VQW6G2OH · pith_short_16: ZPE6VQW6G2OHVRTA · pith_short_8: ZPE6VQW6

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/ZPE6VQW6G2OHVRTAD4QAJI4KKB \
  | 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: cbc9eac2de369c7ac6601f2004a38a50739bba79f9fc4dee521b6bcdf0beb2dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2de639e9926721b18146cdd7647e3590574e4d0e7e38edf2a6cadcf81ff6bdc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-09T10:48:29Z",
    "title_canon_sha256": "bc79c2ab4d28061fa7ccf921287b5568b7aa3dd2f0c4f18cc7c80b496595e04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.04163",
    "kind": "arxiv",
    "version": 1
  }
}