Pith Number

pith:YVVKBUCY

pith:2021:YVVKBUCY5SFM5K7ERFJ7AGI6UA

not attested not anchored not stored refs pending

Classical and quantum gravity with fractional operators

Gianluca Calcagni

arxiv:2106.15430 v2 · 2021-06-28 · 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{YVVKBUCY5SFM5K7ERFJ7AGI6UA}

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

Fractional-Dimension Gravity and the Milky Way Galaxy

Cosmology of fractional gravity

Fractions and Fakeons in Quantum Field Theory

Hawking area law in quantum gravity

Receipt and verification

First computed	2026-07-05T03:05:34.203716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56aa0d058ec8aceabe48953f0191ea009fdacc6e678bf0be45d31310c17ad48

Aliases

arxiv: 2106.15430 · arxiv_version: 2106.15430v2 · doi: 10.48550/arxiv.2106.15430 · pith_short_12: YVVKBUCY5SFM · pith_short_16: YVVKBUCY5SFM5K7E · pith_short_8: YVVKBUCY

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/YVVKBUCY5SFM5K7ERFJ7AGI6UA \
  | 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: c56aa0d058ec8aceabe48953f0191ea009fdacc6e678bf0be45d31310c17ad48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1f842fb5bb0d6607fc0a40e856fa4e0683f799073fbfab09249580c78aea21",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-28T17:44:57Z",
    "title_canon_sha256": "4283b15b1b2bcd884215df1e89ee74fffe297bcdd57f30569407d7ea5fe2ccca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15430",
    "kind": "arxiv",
    "version": 2
  }
}