Pith Number

pith:KPM4DB3A

pith:2010:KPM4DB3A44J4ZYBEBVZACN4I5N

not attested not anchored not stored refs pending

Quantum field theory, gravity and cosmology in a fractal universe

Gianluca Calcagni

arxiv:1001.0571 v2 · 2010-01-04 · hep-th · astro-ph.CO · 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{KPM4DB3A44J4ZYBEBVZACN4I5N}

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

Minimal Proper-time in Quantum Field Theory

Cosmology of fractional gravity

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

Receipt and verification

First computed	2026-05-18T02:24:45.243273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48

Aliases

arxiv: 1001.0571 · arxiv_version: 1001.0571v2 · doi: 10.48550/arxiv.1001.0571 · pith_short_12: KPM4DB3A44J4 · pith_short_16: KPM4DB3A44J4ZYBE · pith_short_8: KPM4DB3A

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/KPM4DB3A44J4ZYBEBVZACN4I5N \
  | 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: 53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "416752d0378f8e106d11b7ac16684fa0c7657a84f09ab416e6ca2f3a5bcc8775",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-01-04T21:00:38Z",
    "title_canon_sha256": "80880b6502e2c41440da64eddc64413d49819dd4a165194e5bfd50208c7bda70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0571",
    "kind": "arxiv",
    "version": 2
  }
}