Pith Number

pith:DMKSIQIY

pith:2009:DMKSIQIYKOWXJD4XGDLXMQ276Z

not attested not anchored not stored refs pending

Is the future universe singular: Dark Matter versus modified gravity?

Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:0911.2781 v1 · 2009-11-14 · 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{DMKSIQIYKOWXJD4XGDLXMQ276Z}

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	2026-05-18T02:10:47.682598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1524411853ad748f9730d776435ff66c5bc192024e5618e30af7bd4c90b40e

Aliases

arxiv: 0911.2781 · arxiv_version: 0911.2781v1 · doi: 10.48550/arxiv.0911.2781 · pith_short_12: DMKSIQIYKOWX · pith_short_16: DMKSIQIYKOWXJD4X · pith_short_8: DMKSIQIY

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/DMKSIQIYKOWXJD4XGDLXMQ276Z \
  | 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: 1b1524411853ad748f9730d776435ff66c5bc192024e5618e30af7bd4c90b40e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b047808789ecd82581ccadca319ae9c7625dbe2ae5c69dc4841e9566aedb78e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-11-14T15:40:16Z",
    "title_canon_sha256": "689c9fe5cdf27c76283a88641d67c66411268ff1e33fb3973f77027dd4769ac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2781",
    "kind": "arxiv",
    "version": 1
  }
}