Pith Number

pith:PBBLJQ2F

pith:2009:PBBLJQ2FLS57JN4ZGSLPQ6KP2O

not attested not anchored not stored refs pending

First Order Extended Gravity and the Dark Side of the Universe: the General Theory

M. De Laurentis, M. Francaviglia, S. Capozziello, S. Mercadante

arxiv:0911.2159 v1 · 2009-11-11 · 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{PBBLJQ2FLS57JN4ZGSLPQ6KP2O}

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	2026-05-18T02:34:11.228556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7842b4c3455cbbf4b7993496f8794fd3bff82be2449061378caf0b77da28fc67

Aliases

arxiv: 0911.2159 · arxiv_version: 0911.2159v1 · doi: 10.48550/arxiv.0911.2159 · pith_short_12: PBBLJQ2FLS57 · pith_short_16: PBBLJQ2FLS57JN4Z · pith_short_8: PBBLJQ2F

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/PBBLJQ2FLS57JN4ZGSLPQ6KP2O \
  | 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: 7842b4c3455cbbf4b7993496f8794fd3bff82be2449061378caf0b77da28fc67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eecd9cc312cf945f202db63ccb0771bcc298ce10031946abbf7c596b2c562f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-11T15:18:03Z",
    "title_canon_sha256": "136fad6b120af8fa3f6b1969ac73ac56345c937792dfe85d7aaf4c2790e007c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2159",
    "kind": "arxiv",
    "version": 1
  }
}