Pith Number

pith:JFI7DO2S

pith:2015:JFI7DO2SLXCDQ7377ZIWIGLTCW

not attested not anchored not stored refs pending

On dRGT massive gravity with degenerate reference metrics

Li-Ming Cao, Yun-Long Zhang, Yuxuan Peng

arxiv:1511.04967 v2 · 2015-11-16 · 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{JFI7DO2SLXCDQ7377ZIWIGLTCW}

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	2026-05-18T01:12:30.456094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4951f1bb525dc4387f7ffe51641973158e3391df4df953e80a7e4d2a5517a68d

Aliases

arxiv: 1511.04967 · arxiv_version: 1511.04967v2 · doi: 10.48550/arxiv.1511.04967 · pith_short_12: JFI7DO2SLXCD · pith_short_16: JFI7DO2SLXCDQ737 · pith_short_8: JFI7DO2S

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/JFI7DO2SLXCDQ7377ZIWIGLTCW \
  | 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: 4951f1bb525dc4387f7ffe51641973158e3391df4df953e80a7e4d2a5517a68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f2a4b777581216543b80d1ff935923a43d420d6e0894bf9af372ff78cc9954",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-16T14:18:13Z",
    "title_canon_sha256": "db85abbc4371ef8c839121ec26c8c78adaa4b6966ccdb30f868554e72999ae1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04967",
    "kind": "arxiv",
    "version": 2
  }
}