Pith Number

pith:VWUPATXK

pith:2011:VWUPATXKJXLGT2DWRMODBRATR7

not attested not anchored not stored refs pending

Cyclic, ekpyrotic and little rip universe in modified gravity

Diego Saez-Gomez, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1108.0767 v2 · 2011-08-03 · hep-th · astro-ph.CO · 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{VWUPATXKJXLGT2DWRMODBRATR7}

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	2026-05-18T02:01:03.740666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ada8f04eea4dd669e8768b1c30c4138ffbd72cb2320a6fc996b25893917ca511

Aliases

arxiv: 1108.0767 · arxiv_version: 1108.0767v2 · doi: 10.48550/arxiv.1108.0767 · pith_short_12: VWUPATXKJXLG · pith_short_16: VWUPATXKJXLGT2DW · pith_short_8: VWUPATXK

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/VWUPATXKJXLGT2DWRMODBRATR7 \
  | 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: ada8f04eea4dd669e8768b1c30c4138ffbd72cb2320a6fc996b25893917ca511

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbe549dd6b133054590ae6d8fb7ff02eb3040d2eba1e57320efa229dfd78b8a9",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-03T07:31:24Z",
    "title_canon_sha256": "913cd6b39a5cc5fbac8da1efd1c1b7d136f7c89f04d02a071073ab8621c54f6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0767",
    "kind": "arxiv",
    "version": 2
  }
}