Pith Number

pith:DYHFMBAI

pith:2012:DYHFMBAIDLOC5MHCTI3CD3FTPF

not attested not anchored not stored refs pending

Energy Conditions and Stability in generalized $f(R)$ gravity with arbitrary coupling between matter and geometry

Jun Wang, Lei Wang, Wei-Qiang Yang, Ya-Bo Wu, Yong-Xin Guo

arxiv:1212.4921 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{DYHFMBAIDLOC5MHCTI3CD3FTPF}

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	2026-05-18T01:52:30.057117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e0e5604081adc2eb0e29a3621ecb37940d34e8552b586b0aa2bf2eb0267143f

Aliases

arxiv: 1212.4921 · arxiv_version: 1212.4921v1 · doi: 10.48550/arxiv.1212.4921 · pith_short_12: DYHFMBAIDLOC · pith_short_16: DYHFMBAIDLOC5MHC · pith_short_8: DYHFMBAI

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/DYHFMBAIDLOC5MHCTI3CD3FTPF \
  | 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: 1e0e5604081adc2eb0e29a3621ecb37940d34e8552b586b0aa2bf2eb0267143f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfee80d2983d6c26aba5939d940f9770bd3df09abc849898918e5c216b364149",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-20T04:44:17Z",
    "title_canon_sha256": "261e3c214318810ec277b9f550d6b30262ab73b7d63b18e70c39b0c634cb0ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4921",
    "kind": "arxiv",
    "version": 1
  }
}