Pith Number

pith:724F2VUF

pith:2015:724F2VUF45DXVQYO32CFZXCJBL

not attested not anchored not stored refs pending

Spherical vacuum and scalar collapse for the Starobinsky R^2 model

Jun-Qi Guo, Pankaj S. Joshi

arxiv:1511.06161 v3 · 2015-11-19 · 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{724F2VUF45DXVQYO32CFZXCJBL}

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	2026-05-18T01:06:40.937244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb85d5685e7477ac30ede845cdc490acb40cc01f16fb100695601c2301473ca

Aliases

arxiv: 1511.06161 · arxiv_version: 1511.06161v3 · doi: 10.48550/arxiv.1511.06161 · pith_short_12: 724F2VUF45DX · pith_short_16: 724F2VUF45DXVQYO · pith_short_8: 724F2VUF

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/724F2VUF45DXVQYO32CFZXCJBL \
  | 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: feb85d5685e7477ac30ede845cdc490acb40cc01f16fb100695601c2301473ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28953faa622e13992024b82d5ff40593db7b4bff6e4982df174d74f22facdf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-19T13:30:28Z",
    "title_canon_sha256": "30aa683b94847bff738a0e4a99efa5e5b328b966e0b396970244348df0a03a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06161",
    "kind": "arxiv",
    "version": 3
  }
}