Pith Number

pith:FPX4JVWR

pith:2012:FPX4JVWRBUP4FJYRFJHEO4OYA7

not attested not anchored not stored refs pending

Cosmology in massive gravity

Yungui Gong

arxiv:1207.2726 v2 · 2012-07-11 · gr-qc · 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{FPX4JVWRBUP4FJYRFJHEO4OYA7}

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	2026-05-18T01:56:25.068687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2befc4d6d10d1fc2a7112a4e4771d807d1d13a057c9779ebbc7bdded270e1f50

Aliases

arxiv: 1207.2726 · arxiv_version: 1207.2726v2 · doi: 10.48550/arxiv.1207.2726 · pith_short_12: FPX4JVWRBUP4 · pith_short_16: FPX4JVWRBUP4FJYR · pith_short_8: FPX4JVWR

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/FPX4JVWRBUP4FJYRFJHEO4OYA7 \
  | 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: 2befc4d6d10d1fc2a7112a4e4771d807d1d13a057c9779ebbc7bdded270e1f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d107fa2dbf88aa2e6004746558bf6a4d8161f940c455b167102e324e99b439b9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-11T18:04:58Z",
    "title_canon_sha256": "a43c9fab3a994fb7fed824f3def482d95bc30855c80b94a21e7f4dda19cff9ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2726",
    "kind": "arxiv",
    "version": 2
  }
}