Pith Number

pith:3MMNFRLT

pith:2016:3MMNFRLT3NDXBVBWRHYZCV22NW

not attested not anchored not stored refs pending

Multifractional theories: an unconventional review

Gianluca Calcagni

arxiv:1612.05632 v3 · 2016-12-16 · hep-th · gr-qc · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MMNFRLT3NDXBVBWRHYZCV22NW}

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

3 papers in Pith

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	2026-05-18T00:47:48.803124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18d2c573db4770d43689f191575a6dad7372b889e2bdb6bda0d9389e7f232f

Aliases

arxiv: 1612.05632 · arxiv_version: 1612.05632v3 · doi: 10.48550/arxiv.1612.05632 · pith_short_12: 3MMNFRLT3NDX · pith_short_16: 3MMNFRLT3NDXBVBW · pith_short_8: 3MMNFRLT

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/3MMNFRLT3NDXBVBWRHYZCV22NW \
  | 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: db18d2c573db4770d43689f191575a6dad7372b889e2bdb6bda0d9389e7f232f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1793bf97393fd205bc7c50271f9f10165c8b4282decff97d9dcfb95c9dba48ce",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-16T20:59:40Z",
    "title_canon_sha256": "976c837dab3b20f9d65d7f669da5df9484005ab92b8255212dbf343a1c4fbfa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05632",
    "kind": "arxiv",
    "version": 3
  }
}