Pith Number

pith:XPUULALW

pith:2013:XPUULALWNMCVVUP4KKLU4MBTND

not attested not anchored not stored refs pending

Hybrid f(R) theories, local constraints, and cosmic speedup

Francisco S. N. Lobo, Gonzalo J. Olmo, S. Capozziello, T. Harko, T. S. Koivisto

arxiv:1301.2209 v1 · 2013-01-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPUULALWNMCVVUP4KKLU4MBTND}

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	2026-05-18T03:36:47.131013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe94581766b055ad1fc52974e303368c4701f658374ff6d69936e43cb1bf482

Aliases

arxiv: 1301.2209 · arxiv_version: 1301.2209v1 · doi: 10.48550/arxiv.1301.2209 · pith_short_12: XPUULALWNMCV · pith_short_16: XPUULALWNMCVVUP4 · pith_short_8: XPUULALW

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/XPUULALWNMCVVUP4KKLU4MBTND \
  | 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: bbe94581766b055ad1fc52974e303368c4701f658374ff6d69936e43cb1bf482

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd11cebda60ecc1876cb80b6e0770ee14823eabdee974d226d5400d6459b88ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-01-10T18:26:35Z",
    "title_canon_sha256": "7ca37abc98bb43f258aab908b905ad4c1c2b891a0477fa76479f6b9b8e84aff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2209",
    "kind": "arxiv",
    "version": 1
  }
}