Pith Number

pith:PHSDXBF6

pith:2016:PHSDXBF6O5DTJLI5MAYWHP2CHW

not attested not anchored not stored refs pending

Black hole solutions in de Rham-Gabadadze-Tolley massive gravity

Ping Li, Ping Xi, Xin-zhou Li

arxiv:1603.06039 v1 · 2016-03-19 · gr-qc · astro-ph.CO · 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{PHSDXBF6O5DTJLI5MAYWHP2CHW}

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	2026-05-18T01:17:16.838261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e43b84be774734ad1d603163bf423da5c5f733e62343f8b982d3f05794c209

Aliases

arxiv: 1603.06039 · arxiv_version: 1603.06039v1 · doi: 10.48550/arxiv.1603.06039 · pith_short_12: PHSDXBF6O5DT · pith_short_16: PHSDXBF6O5DTJLI5 · pith_short_8: PHSDXBF6

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/PHSDXBF6O5DTJLI5MAYWHP2CHW \
  | 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: 79e43b84be774734ad1d603163bf423da5c5f733e62343f8b982d3f05794c209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e973e29ef6edafd1ca7bd37035cfdb8c669018db3578b1e51cfed6d673ca20c0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-03-19T03:40:05Z",
    "title_canon_sha256": "87f833d924beab76769ad44ff3681c75dd0ac94873a75c7392dc3a46e822b05f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06039",
    "kind": "arxiv",
    "version": 1
  }
}