Pith Number

pith:TSYBZD6V

pith:2019:TSYBZD6V2ZC7PD5N6EFJOYPSLQ

not attested not anchored not stored refs pending

Universal expansion with spatially varying $G$

Demosthenes Kazanas, Dimitris M. Christodoulou

arxiv:1905.04296 v3 · 2019-05-10 · 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{TSYBZD6V2ZC7PD5N6EFJOYPSLQ}

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	2026-05-17T23:44:53.941253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb01c8fd5d645f78fadf10a9761f25c2b1e5fb50c36b9b15535027db911b54c

Aliases

arxiv: 1905.04296 · arxiv_version: 1905.04296v3 · doi: 10.48550/arxiv.1905.04296 · pith_short_12: TSYBZD6V2ZC7 · pith_short_16: TSYBZD6V2ZC7PD5N · pith_short_8: TSYBZD6V

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/TSYBZD6V2ZC7PD5N6EFJOYPSLQ \
  | 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: 9cb01c8fd5d645f78fadf10a9761f25c2b1e5fb50c36b9b15535027db911b54c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ae367aba5aa807e8f1f8479760ee0aa083605a8512901bfeec5cf44bb28952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-05-10T05:04:50Z",
    "title_canon_sha256": "650a2a6c3ca87a12a53c64b904e63d62792d24e7dac5f52d73a676d707b19f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04296",
    "kind": "arxiv",
    "version": 3
  }
}