Pith Number

pith:A5HHJMX2

pith:2021:A5HHJMX2QAHHSGLR4AAHLGGTJJ

not attested not anchored not stored refs pending

Stability of scalar perturbations in scalar-torsion $f(T,\phi)$ gravity theories in the presence of a matter fluid

Giovanni Otalora, Joel Saavedra, Manuel Gonzalez-Espinoza

arxiv:2101.09123 v2 · 2021-01-22 · 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{A5HHJMX2QAHHSGLR4AAHLGGTJJ}

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

An Interplay Between Fractional Calculus and Holographic Dark Energy

Receipt and verification

First computed	2026-07-05T03:30:38.404032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

074e74b2fa800e791971e0007598d34a4b6c81659ab8e936e8beade315cf728e

Aliases

arxiv: 2101.09123 · arxiv_version: 2101.09123v2 · doi: 10.48550/arxiv.2101.09123 · pith_short_12: A5HHJMX2QAHH · pith_short_16: A5HHJMX2QAHHSGLR · pith_short_8: A5HHJMX2

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/A5HHJMX2QAHHSGLR4AAHLGGTJJ \
  | 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: 074e74b2fa800e791971e0007598d34a4b6c81659ab8e936e8beade315cf728e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d71ab5db94f118bc8540dd46ec1eebfb050f4714acbd6b200392a03a88d4bb",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-22T14:19:42Z",
    "title_canon_sha256": "da0f34fc8890e2980ff2783d22c7c0a9e17670ebdd3ade5aed0805960faef505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09123",
    "kind": "arxiv",
    "version": 2
  }
}