Pith Number

pith:DDZRP2NP

pith:2015:DDZRP2NPNZ3VQFGEOQUJXONDSB

not attested not anchored not stored refs pending

Evolution and spherical collapse in Einstein-aether theory and Horava gravity

Andrew Coates, Jishnu Bhattacharyya, Mattia Colombo, Thomas P. Sotiriou

arxiv:1512.04899 v2 · 2015-12-15 · gr-qc · astro-ph.HE · 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{DDZRP2NPNZ3VQFGEOQUJXONDSB}

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	2026-05-18T01:18:08.763127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f317e9af6e775814c474289bb9a3907e917100a4e37b0b0b3952677d4dce46

Aliases

arxiv: 1512.04899 · arxiv_version: 1512.04899v2 · doi: 10.48550/arxiv.1512.04899 · pith_short_12: DDZRP2NPNZ3V · pith_short_16: DDZRP2NPNZ3VQFGE · pith_short_8: DDZRP2NP

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/DDZRP2NPNZ3VQFGEOQUJXONDSB \
  | 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: 18f317e9af6e775814c474289bb9a3907e917100a4e37b0b0b3952677d4dce46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5079880cdb3e2f9f3ea9214175052de02da735c693be546cc5efd1019989cc",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-15T19:01:12Z",
    "title_canon_sha256": "b5f6e58379ace71c3d21da78f1e7da562e206f573a2b8342ce3c82df5882aeed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04899",
    "kind": "arxiv",
    "version": 2
  }
}