Pith Number

pith:H7ETERNA

pith:2021:H7ETERNABCLCNKUO3BWELZY4US

not attested not anchored not stored refs pending

Deflection angle and lensing signature of covariant f(T) gravity

Emmanuel N. Saridakis, Xin Ren, Yaqi Zhao, Yi-Fu Cai

arxiv:2105.04578 v3 · 2021-05-10 · astro-ph.CO · gr-qc · hep-ph · 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{H7ETERNABCLCNKUO3BWELZY4US}

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

$f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

Receipt and verification

First computed	2026-07-05T03:25:14.281490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fc93245a0089626aa8ed86c45e71ca4847a80c15c688b71c6e2753140d8f371

Aliases

arxiv: 2105.04578 · arxiv_version: 2105.04578v3 · doi: 10.48550/arxiv.2105.04578 · pith_short_12: H7ETERNABCLC · pith_short_16: H7ETERNABCLCNKUO · pith_short_8: H7ETERNA

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/H7ETERNABCLCNKUO3BWELZY4US \
  | 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: 3fc93245a0089626aa8ed86c45e71ca4847a80c15c688b71c6e2753140d8f371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfcb55ca83f57290b4afb22a21c4c9efc967649bc5c7fe8e11b435cdb245d8ea",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-05-10T18:00:05Z",
    "title_canon_sha256": "65d7b73e3f45ab08f2fa53bd14abbc4b150073bb275130805716a91f2baed2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04578",
    "kind": "arxiv",
    "version": 3
  }
}