Pith Number

pith:FQX6ZU4U

pith:2010:FQX6ZU4UEC433AVON2RX5VNSCB

not attested not anchored not stored refs pending

Energy conditions in modified Gauss-Bonnet gravity

Francisco S. N. Lobo, Jos\'e P. Mimoso, Nadiezhda Montelongo Garc\'ia, Tiberiu Harko

arxiv:1011.4159 v2 · 2010-11-18 · 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{FQX6ZU4UEC433AVON2RX5VNSCB}

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	2026-05-18T02:23:36.347182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c2fecd39420b9bd82ae6ea37ed5b210600763f225dc9d6f2a8d13ebbf5b42b8

Aliases

arxiv: 1011.4159 · arxiv_version: 1011.4159v2 · doi: 10.48550/arxiv.1011.4159 · pith_short_12: FQX6ZU4UEC43 · pith_short_16: FQX6ZU4UEC433AVO · pith_short_8: FQX6ZU4U

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/FQX6ZU4UEC433AVON2RX5VNSCB \
  | 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: 2c2fecd39420b9bd82ae6ea37ed5b210600763f225dc9d6f2a8d13ebbf5b42b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81dab3dc59cf0e299dced3b1660e939b400e8c8148d737702a9419d58a0b27ce",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-18T09:21:31Z",
    "title_canon_sha256": "14eefc643419cbc68ebfbddac7aa207ee2027b2f761c5c190c5d41be8dff56b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4159",
    "kind": "arxiv",
    "version": 2
  }
}