Pith Number

pith:3F3UD3CB

pith:2023:3F3UD3CBDM2PBTM5TGFFBHEELC

not attested not anchored not stored refs pending

A Primer on Unimodular Gravity

Eduardo Velasco-Aja, Enrique \'Alvarez

arxiv:2301.07641 v6 · 2023-01-18 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3F3UD3CBDM2PBTM5TGFFBHEELC}

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

4 papers in Pith

Improved unimodular black holes with self-consistent renormalization scale identification

Can wormhole spacetimes in Unimodular Gravity be supported by ordinary matter? A general proof of the exotic matter requirement

Metric affine gravity with dynamical chronology protection

Comment on Cosmological constraints on unimodular gravity models with diffusion (arXiv:2211.07424): thermodynamic inadmissibility of the H0 tension resolution mechanism

Receipt and verification

First computed	2026-07-05T05:53:52.662885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97741ec411b34f0cd9d998a509c8458b71e5b6c8105d76269fcc962908f9fe0

Aliases

arxiv: 2301.07641 · arxiv_version: 2301.07641v6 · doi: 10.48550/arxiv.2301.07641 · pith_short_12: 3F3UD3CBDM2P · pith_short_16: 3F3UD3CBDM2PBTM5 · pith_short_8: 3F3UD3CB

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/3F3UD3CBDM2PBTM5TGFFBHEELC \
  | 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: d97741ec411b34f0cd9d998a509c8458b71e5b6c8105d76269fcc962908f9fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc2170c66ef8e52570a7cc4cb731df8826d47695b2f30de6c915d849cb0171da",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-01-18T16:39:42Z",
    "title_canon_sha256": "cf899d7651a2d6c4c1dd2ed50d7f1845570f5ad8947380e10766cdb52f87a6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07641",
    "kind": "arxiv",
    "version": 6
  }
}