Pith Number

pith:Z2ID375Q

pith:2011:Z2ID375QQZS23PE2MUIS66L5US

not attested not anchored not stored refs pending

Constraining $f(T)$ Theories with the Varying Gravitational Constant

Hao Wei, Hao-Yu Qi, Xiao-Peng Ma

arxiv:1108.0859 v3 · 2011-08-03 · 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{Z2ID375QQZS23PE2MUIS66L5US}

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.

Receipt and verification

First computed	2026-05-18T03:46:47.710228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce903dffb08665adbc9a65112f797da4acf4cc3371d0dc8ece62adea41de21e4

Aliases

arxiv: 1108.0859 · arxiv_version: 1108.0859v3 · doi: 10.48550/arxiv.1108.0859 · pith_short_12: Z2ID375QQZS2 · pith_short_16: Z2ID375QQZS23PE2 · pith_short_8: Z2ID375Q

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/Z2ID375QQZS23PE2MUIS66L5US \
  | 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: ce903dffb08665adbc9a65112f797da4acf4cc3371d0dc8ece62adea41de21e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348d5c48a30732e08e70ab6ca51bf4fd6b6138f24568acee3803402f6573348a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-03T15:00:00Z",
    "title_canon_sha256": "b086d3761cd1d78b32a415248d922abee687bb0436e938bd4804d3bbcf420648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0859",
    "kind": "arxiv",
    "version": 3
  }
}