Pith Number

pith:SZ2TPXZ5

pith:2015:SZ2TPXZ52ZCCMHHYVIZT2XK6WO

not attested not anchored not stored refs pending

Analytical expression for a class of spherically symmetric solutions in Lorentz breaking massive gravity

Ping Li, Ping Xi, Xin-zhou Li

arxiv:1503.08952 v5 · 2015-03-31 · 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{SZ2TPXZ52ZCCMHHYVIZT2XK6WO}

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	2026-05-18T01:16:07.291075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967537df3dd644261cf8aa333d5d5eb3a130d68ee294497bdaa9f68e57be62c1

Aliases

arxiv: 1503.08952 · arxiv_version: 1503.08952v5 · doi: 10.48550/arxiv.1503.08952 · pith_short_12: SZ2TPXZ52ZCC · pith_short_16: SZ2TPXZ52ZCCMHHY · pith_short_8: SZ2TPXZ5

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/SZ2TPXZ52ZCCMHHYVIZT2XK6WO \
  | 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: 967537df3dd644261cf8aa333d5d5eb3a130d68ee294497bdaa9f68e57be62c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466beb465ab3e419dc537507f41433b54366b09ff30be2a49471e79e2b1284c5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-31T08:44:19Z",
    "title_canon_sha256": "0189497fc4d62e9519cb8ca2e4f6472e7b7f40c50e8b62e0a5e612046fc51b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08952",
    "kind": "arxiv",
    "version": 5
  }
}