Pith Number

pith:JOBE4CAS

pith:2009:JOBE4CASJQ2AMBO73R7N32RXAE

not attested not anchored not stored refs pending

Gravity Modification with Yukawa-type Potential: Dark Matter and Mirror Gravity

Fabrizio Nesti, Luigi Pilo, Nicola Rossi, Zurab Berezhiani

arxiv:0902.0144 v2 · 2009-02-02 · hep-th · astro-ph.GA · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOBE4CASJQ2AMBO73R7N32RXAE}

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	2026-05-18T04:33:36.624647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b824e08124c340605dfdc7eddea370103c2af0fac6ee0312c4b604a6465982f

Aliases

arxiv: 0902.0144 · arxiv_version: 0902.0144v2 · doi: 10.48550/arxiv.0902.0144 · pith_short_12: JOBE4CASJQ2A · pith_short_16: JOBE4CASJQ2AMBO7 · pith_short_8: JOBE4CAS

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/JOBE4CASJQ2AMBO73R7N32RXAE \
  | 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: 4b824e08124c340605dfdc7eddea370103c2af0fac6ee0312c4b604a6465982f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ef677c412db7f33c65ed753bf3ca61cb3e6d2461225213436a8caf77f87b3a0",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-02-02T14:59:38Z",
    "title_canon_sha256": "3a804b2148504e43ff041e7b91a8354fb324e7a76c6bce4c3c3de69992044409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0144",
    "kind": "arxiv",
    "version": 2
  }
}