Pith Number

pith:HXTUQ2D5

pith:2009:HXTUQ2D53XN3WHYOH44OXMLNKP

not attested not anchored not stored refs pending

Behavior of $F(R)$ gravity around a crossing of the phantom divide

Kazuharu Bamba

arxiv:0909.2991 v2 · 2009-09-16 · astro-ph.CO · gr-qc · hep-ph · 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{HXTUQ2D53XN3WHYOH44OXMLNKP}

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	2026-05-18T04:25:01.853213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de748687ddddbbb1f0e3f38ebb16d53ea1505ee79c08b83078a0514c21804fe

Aliases

arxiv: 0909.2991 · arxiv_version: 0909.2991v2 · doi: 10.48550/arxiv.0909.2991 · pith_short_12: HXTUQ2D53XN3 · pith_short_16: HXTUQ2D53XN3WHYO · pith_short_8: HXTUQ2D5

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/HXTUQ2D53XN3WHYOH44OXMLNKP \
  | 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: 3de748687ddddbbb1f0e3f38ebb16d53ea1505ee79c08b83078a0514c21804fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a39c0a8aaeae46009da396fad2a6bd4db8206eba3f425d99d5ec16b36fb3936",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-16T12:18:05Z",
    "title_canon_sha256": "b3fd03b6896ed339906fa51fa0047c04fada224d7ffa2539cb58189a8b8676e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2991",
    "kind": "arxiv",
    "version": 2
  }
}