Pith Number

pith:VFOCW4JV

pith:2010:VFOCW4JVVSQDAQ5EUMAZQFSANX

not attested not anchored not stored refs pending

Cascading Gravity is Ghost Free

Andrew J. Tolley, Claudia de Rham, Justin Khoury

arxiv:1002.1075 v3 · 2010-02-04 · hep-th · astro-ph.CO · 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{VFOCW4JVVSQDAQ5EUMAZQFSANX}

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	2026-05-18T02:33:48.654526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95c2b7135aca03043a4a3019816406ddaea09c4fde7cf8fc613d8d7d82ce442

Aliases

arxiv: 1002.1075 · arxiv_version: 1002.1075v3 · doi: 10.48550/arxiv.1002.1075 · pith_short_12: VFOCW4JVVSQD · pith_short_16: VFOCW4JVVSQDAQ5E · pith_short_8: VFOCW4JV

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/VFOCW4JVVSQDAQ5EUMAZQFSANX \
  | 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: a95c2b7135aca03043a4a3019816406ddaea09c4fde7cf8fc613d8d7d82ce442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc31feceb25da0159ce5a01061fa95b83a77c80a25742d59788bd419c5b21b9c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-02-04T21:00:03Z",
    "title_canon_sha256": "b2f7ee70a0151811554fa1db65653aee7a94f5ffe05a2d40ff013a92da48ee16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1075",
    "kind": "arxiv",
    "version": 3
  }
}