Pith Number

pith:YFK7SW6D

pith:2021:YFK7SW6DPFHPBAYW2BMNWEEUBT

not attested not anchored not stored refs pending

Multifractional theories: an updated review

Gianluca Calcagni

arxiv:2103.06557 v2 · 2021-03-11 · hep-th · 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{YFK7SW6DPFHPBAYW2BMNWEEUBT}

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

Noether charges and the first law of thermodynamics for multifractional Schwarzschild black hole in the q-derivative theory

Hawking area law in quantum gravity

Receipt and verification

First computed	2026-07-05T03:05:32.770020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c155f95bc3794ef08316d058db10940ccf7798307a6baa7e42f2d564994d18fc

Aliases

arxiv: 2103.06557 · arxiv_version: 2103.06557v2 · doi: 10.48550/arxiv.2103.06557 · pith_short_12: YFK7SW6DPFHP · pith_short_16: YFK7SW6DPFHPBAYW · pith_short_8: YFK7SW6D

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/YFK7SW6DPFHPBAYW2BMNWEEUBT \
  | 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: c155f95bc3794ef08316d058db10940ccf7798307a6baa7e42f2d564994d18fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bac3258cecfa29a833ef7e4bae6c4d0d511f32f98723aeb77c420742362b9f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-03-11T09:32:22Z",
    "title_canon_sha256": "31b0373876d6627766da6a9fe5c834066796a0144adef83baf0b636acd52fb83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06557",
    "kind": "arxiv",
    "version": 2
  }
}