Pith Number

pith:4ZI2BMHA

pith:2015:4ZI2BMHAATVEVS7FRN23GJAID4

not attested not anchored not stored refs pending

Ghost free massive gravity with singular reference metrics

Hongsheng Zhang, Xin-zhou Li

arxiv:1510.03204 v1 · 2015-10-12 · 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{4ZI2BMHAATVEVS7FRN23GJAID4}

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	2026-05-18T01:12:07.803479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e651a0b0e004ea4acbe58b75b324081f2db83b05a51c137aee89b00106d9ffad

Aliases

arxiv: 1510.03204 · arxiv_version: 1510.03204v1 · doi: 10.48550/arxiv.1510.03204 · pith_short_12: 4ZI2BMHAATVE · pith_short_16: 4ZI2BMHAATVEVS7F · pith_short_8: 4ZI2BMHA

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/4ZI2BMHAATVEVS7FRN23GJAID4 \
  | 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: e651a0b0e004ea4acbe58b75b324081f2db83b05a51c137aee89b00106d9ffad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c90c3fedc6625a2971563d3012dca78772f0e17acbd844699918547a9e3c529",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-10-12T09:49:04Z",
    "title_canon_sha256": "79016f81f011dfa3e81c7d738e496990b5daf6b838825e909e7aa7db7b9c25dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03204",
    "kind": "arxiv",
    "version": 1
  }
}