Pith Number

pith:GCPVAMFP

pith:2021:GCPVAMFPO7BT6HXOR2BQAAS4QC

not attested not anchored not stored refs pending

Classification of Teleparallel Horndeski Cosmology via Noether Symmetries

Jackson Levi Said, Konstantinos F. Dialektopoulos, Zinovia Oikonomopoulou

arxiv:2112.15045 v2 · 2021-12-30 · gr-qc · 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{GCPVAMFPO7BT6HXOR2BQAAS4QC}

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

Cosmological Dynamics of a Non-Canonical Generalised Brans-Dicke Theory

Receipt and verification

First computed	2026-07-05T04:09:17.740250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309f5030af77c33f1eee8e8300025c80bfa6df0924e1d74c3e472eebfca389d4

Aliases

arxiv: 2112.15045 · arxiv_version: 2112.15045v2 · doi: 10.48550/arxiv.2112.15045 · pith_short_12: GCPVAMFPO7BT · pith_short_16: GCPVAMFPO7BT6HXO · pith_short_8: GCPVAMFP

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/GCPVAMFPO7BT6HXOR2BQAAS4QC \
  | 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: 309f5030af77c33f1eee8e8300025c80bfa6df0924e1d74c3e472eebfca389d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f1182ea8e4810988a1a318948c484ded564cc2f132fc19781c3a5099dcb872",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-30T13:12:01Z",
    "title_canon_sha256": "281741d29e26fca12a38d3c7cdd69ee89490216f876ea422623298dfaf5ad024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15045",
    "kind": "arxiv",
    "version": 2
  }
}