Pith Number

pith:JZXENXAF

pith:2011:JZXENXAFZABKYOEBRU3XEPKZ5V

not attested not anchored not stored refs pending

Phantom phase power-law solution in $f(G)$ gravity

A. R. Rastkar, F. Darabi, M. R. Setare

arxiv:1104.1904 v2 · 2011-04-11 · 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{JZXENXAFZABKYOEBRU3XEPKZ5V}

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	2026-05-18T04:02:52.800907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e6e46dc05c802ac38818d37723d59ed7b43fce3e1d2f1e5c21389a2d714ed42

Aliases

arxiv: 1104.1904 · arxiv_version: 1104.1904v2 · doi: 10.48550/arxiv.1104.1904 · pith_short_12: JZXENXAFZABK · pith_short_16: JZXENXAFZABKYOEB · pith_short_8: JZXENXAF

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/JZXENXAFZABKYOEBRU3XEPKZ5V \
  | 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: 4e6e46dc05c802ac38818d37723d59ed7b43fce3e1d2f1e5c21389a2d714ed42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28eec21d4d5fb3ca2ed69991c664026efae03e6e7ff1409b4c8c44137818a144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-11T11:14:42Z",
    "title_canon_sha256": "d63a8c8355da5d8a2675a33922d51070ff0f373089df68aae0b9afa311c9e29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1904",
    "kind": "arxiv",
    "version": 2
  }
}