Pith Number

pith:24JDY4W3

pith:2016:24JDY4W3W3BII5PRZZRF64GDVH

not attested not anchored not stored refs pending

Thermodynamic properties of modified gravity theories

Kazuharu Bamba

arxiv:1604.02632 v1 · 2016-04-10 · gr-qc · astro-ph.CO · 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{24JDY4W3W3BII5PRZZRF64GDVH}

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

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T01:12:03.931632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7123c72dbb6c28475f1ce625f70c3a9c51863c3a6f2dc479a1f991fde469ba3

Aliases

arxiv: 1604.02632 · arxiv_version: 1604.02632v1 · doi: 10.48550/arxiv.1604.02632 · pith_short_12: 24JDY4W3W3BI · pith_short_16: 24JDY4W3W3BII5PR · pith_short_8: 24JDY4W3

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/24JDY4W3W3BII5PRZZRF64GDVH \
  | 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: d7123c72dbb6c28475f1ce625f70c3a9c51863c3a6f2dc479a1f991fde469ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4349e8d90f0147c7f56162d2360808021f9ed54f5df346c66615e516a4a67bd0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-04-10T03:08:42Z",
    "title_canon_sha256": "f22b07c40af6546573fba1a9922d7bbead879e8eab6e9060fd5bbed8d58e6150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02632",
    "kind": "arxiv",
    "version": 1
  }
}