Pith Number

pith:D4FM7HPB

pith:2010:D4FM7HPBOECZ5RTTM7IWMOER4A

not attested not anchored not stored refs pending

Cosmic acceleration and the challenge of modifying gravity

Mark Trodden

arxiv:1011.0861 v1 · 2010-11-03 · 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{D4FM7HPBOECZ5RTTM7IWMOER4A}

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	2026-05-18T02:04:53.288555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0acf9de171059ec67367d1663891e01295c7861448c91877de2888cb7e176e

Aliases

arxiv: 1011.0861 · arxiv_version: 1011.0861v1 · doi: 10.48550/arxiv.1011.0861 · pith_short_12: D4FM7HPBOECZ · pith_short_16: D4FM7HPBOECZ5RTT · pith_short_8: D4FM7HPB

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/D4FM7HPBOECZ5RTTM7IWMOER4A \
  | 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: 1f0acf9de171059ec67367d1663891e01295c7861448c91877de2888cb7e176e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f22072a59421b8439b4bcf2dcc92c7d303e04cc58f443dd90d6dbff44a3f7d89",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-03T12:30:14Z",
    "title_canon_sha256": "aa6c3d5f6083bf451fa1a0b7adb37dbe758cac2b3bda1549548e084d171b0885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0861",
    "kind": "arxiv",
    "version": 1
  }
}