Pith Number

pith:APG77O57

pith:2009:APG77O57INRM7EUGAC4MR45NS7

not attested not anchored not stored refs pending

Five-dimensional metric $f(R)$ gravity and the accelerated universe

Biao Huang, Song Li, Yongge Ma

arxiv:0912.4581 v2 · 2009-12-23 · 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{APG77O57INRM7EUGAC4MR45NS7}

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	2026-05-18T02:33:55.545579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cdffbbbf4362cf928600b8c8f3ad97fc81ed8b8e025df2233b120b73e8597a

Aliases

arxiv: 0912.4581 · arxiv_version: 0912.4581v2 · doi: 10.48550/arxiv.0912.4581 · pith_short_12: APG77O57INRM · pith_short_16: APG77O57INRM7EUG · pith_short_8: APG77O57

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/APG77O57INRM7EUGAC4MR45NS7 \
  | 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: 03cdffbbbf4362cf928600b8c8f3ad97fc81ed8b8e025df2233b120b73e8597a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa4e4c2f5c49a2c95e8f4790c99eb6a374bb61a63f7f7535ff5ec3585b14a63",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-23T08:12:50Z",
    "title_canon_sha256": "b3817e968f82a1faaa26fb11c5a360061addea2b53b950a4e16e3b7cc956c728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4581",
    "kind": "arxiv",
    "version": 2
  }
}