Pith Number

pith:HLFU33ZE

pith:2021:HLFU33ZESUDXAKZGD6ACWUAD3W

not attested not anchored not stored refs pending

Alternatives to $\Lambda$: Torsion, Generalized Couplings, and Scale Invariance

B. A. R. Rocha, C. B. D. Fernandes, C. J. A. P. Martins, C. M. J. Marques, D. A. R. Pinheiro, J. S. J. S. Oliveira

arxiv:2111.08086 v1 · 2021-11-15 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLFU33ZESUDXAKZGD6ACWUAD3W}

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

Dust stars in the minimal exponential measure model

Receipt and verification

First computed	2026-07-05T03:32:29.315547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3acb4def249507702b261f802b5003ddb7a3d236507f3e5f4bb70de6635a720d

Aliases

arxiv: 2111.08086 · arxiv_version: 2111.08086v1 · doi: 10.48550/arxiv.2111.08086 · pith_short_12: HLFU33ZESUDX · pith_short_16: HLFU33ZESUDXAKZG · pith_short_8: HLFU33ZE

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/HLFU33ZESUDXAKZGD6ACWUAD3W \
  | 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: 3acb4def249507702b261f802b5003ddb7a3d236507f3e5f4bb70de6635a720d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab28e6950f0a9898ddc16adf0ac68bdb8aa32817f7a24eca950b2ae9dc38b5d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-15T21:18:39Z",
    "title_canon_sha256": "1ed4dd3ec144fdd7281ba58e9c7710801cb9359f58aecfd6cd15b26c7ec914cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08086",
    "kind": "arxiv",
    "version": 1
  }
}