Pith Number

pith:QAIV76WA

pith:2012:QAIV76WACWLSNQFTUVXDAV53OK

not attested not anchored not stored refs pending

Conditions and instability in $f(R)$ gravity with non-minimal coupling between matter and geometry

Fang Qi, Jun Wang, Xiao-Yu Sun, Ya-Bo Wu, Yong-Xin Guo, Yue-Yue Zhao

arxiv:1212.4928 v1 · 2012-12-20 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QAIV76WACWLSNQFTUVXDAV53OK}

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	2026-05-18T01:52:30.050049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80115ffac0159726c0b3a56e3057bb72afece176c05e2c23747a90a9288e3579

Aliases

arxiv: 1212.4928 · arxiv_version: 1212.4928v1 · doi: 10.48550/arxiv.1212.4928 · pith_short_12: QAIV76WACWLS · pith_short_16: QAIV76WACWLSNQFT · pith_short_8: QAIV76WA

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/QAIV76WACWLSNQFTUVXDAV53OK \
  | 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: 80115ffac0159726c0b3a56e3057bb72afece176c05e2c23747a90a9288e3579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e488b52bf84bd3d0174979aba3a96c697de8519ff29f744a51bb04616d9d924",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-20T05:47:10Z",
    "title_canon_sha256": "b703ad4e1a166c70844dd9314695a135f24b765af7dbb4104dfaadf2e6155ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4928",
    "kind": "arxiv",
    "version": 1
  }
}