Pith Number

pith:MQWRQ47L

pith:2010:MQWRQ47L6KMH7A7UVQFYDI5XHZ

not attested not anchored not stored refs pending

Late-time cosmic acceleration: Dark gravity

Francisco S. N. Lobo

arxiv:1011.6176 v1 · 2010-11-29 · gr-qc · astro-ph.CO · 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{MQWRQ47L6KMH7A7UVQFYDI5XHZ}

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	2026-05-18T04:12:12.070525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

642d1873ebf2987f83f4ac0b81a3b73e503e80872263c23df6269237067b2017

Aliases

arxiv: 1011.6176 · arxiv_version: 1011.6176v1 · doi: 10.48550/arxiv.1011.6176 · pith_short_12: MQWRQ47L6KMH · pith_short_16: MQWRQ47L6KMH7A7U · pith_short_8: MQWRQ47L

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/MQWRQ47L6KMH7A7UVQFYDI5XHZ \
  | 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: 642d1873ebf2987f83f4ac0b81a3b73e503e80872263c23df6269237067b2017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c329aff0a0b9b4d17b00b45d8acd6021fcbe3dc3058f72e34338be7204a982c6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-29T10:16:49Z",
    "title_canon_sha256": "7f35d681ce4b44891f8eae372c281a2c32410c73de21da8e45c2abba53a63006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6176",
    "kind": "arxiv",
    "version": 1
  }
}