Pith Number

pith:PHDKFLAQ

pith:2021:PHDKFLAQ76ZGYH3GNCDQAT2J2Z

not attested not anchored not stored refs pending

Relativistic Fractional-Dimension Gravity

Gabriele U. Varieschi

arxiv:2109.02855 v2 · 2021-09-07 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHDKFLAQ76ZGYH3GNCDQAT2J2Z}

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

1 paper in Pith

Fractional-Dimension Gravity and the Milky Way Galaxy

Receipt and verification

First computed	2026-07-05T03:24:58.341217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c6a2ac10ffb26c1f666887004f49d66774ccce6c4e8cd1d6ecce5d17344fff

Aliases

arxiv: 2109.02855 · arxiv_version: 2109.02855v2 · doi: 10.48550/arxiv.2109.02855 · pith_short_12: PHDKFLAQ76ZG · pith_short_16: PHDKFLAQ76ZGYH3G · pith_short_8: PHDKFLAQ

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/PHDKFLAQ76ZGYH3GNCDQAT2J2Z \
  | 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: 79c6a2ac10ffb26c1f666887004f49d66774ccce6c4e8cd1d6ecce5d17344fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "650246f2ccd10d41a66d94304190e4488b6aba234168ae60d5ed62c7a0aea350",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-07T04:22:23Z",
    "title_canon_sha256": "da961e2e94fda412d0dfea932c80302f4c8473f7c9b69853622e9392d9eb6875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02855",
    "kind": "arxiv",
    "version": 2
  }
}