Pith Number

pith:2PPSHRS4

pith:2015:2PPSHRS4TAJDUX32TJHXEHHTUY

not attested not anchored not stored refs pending

Counterterms in Massive Gravity Theory

Li-Ming Cao, Yuxuan Peng

arxiv:1509.08738 v2 · 2015-09-29 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PPSHRS4TAJDUX32TJHXEHHTUY}

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.

Cited by

1 paper in Pith

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-05-18T01:23:39.600970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3df23c65c98123a5f7a9a4f721cf3a61ff671d1c911bda4176da4d33386ac1d

Aliases

arxiv: 1509.08738 · arxiv_version: 1509.08738v2 · doi: 10.48550/arxiv.1509.08738 · pith_short_12: 2PPSHRS4TAJD · pith_short_16: 2PPSHRS4TAJDUX32 · pith_short_8: 2PPSHRS4

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/2PPSHRS4TAJDUX32TJHXEHHTUY \
  | 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: d3df23c65c98123a5f7a9a4f721cf3a61ff671d1c911bda4176da4d33386ac1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f56edc035885fa07db5c0a70f09583f1baf6526bdeaafa9428d5952cdeeb0317",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-29T13:28:24Z",
    "title_canon_sha256": "8ed11da9a9ba1f48f9170c89387b979607ead33e1679ec597781cef0cac06022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08738",
    "kind": "arxiv",
    "version": 2
  }
}