Pith Number

pith:ALBQR7ZO

pith:2012:ALBQR7ZOQPRTDNTGUE3G3BEJDP

not attested not anchored not stored refs pending

Generalized modified gravity with the second order acceleration equation

Changjun Gao

arxiv:1208.2790 v3 · 2012-08-14 · 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{ALBQR7ZOQPRTDNTGUE3G3BEJDP}

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	2026-05-18T03:22:29.330790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c308ff2e83e331b666a1366d84891bff35001416e9fa1e6998e8c80d451c79

Aliases

arxiv: 1208.2790 · arxiv_version: 1208.2790v3 · doi: 10.48550/arxiv.1208.2790 · pith_short_12: ALBQR7ZOQPRT · pith_short_16: ALBQR7ZOQPRTDNTG · pith_short_8: ALBQR7ZO

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/ALBQR7ZOQPRTDNTGUE3G3BEJDP \
  | 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: 02c308ff2e83e331b666a1366d84891bff35001416e9fa1e6998e8c80d451c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a52d54fb0e5768d71d50db7bcabb17153eeea566b636727016ec7c25339357",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-14T06:27:32Z",
    "title_canon_sha256": "173e147b2a921d48188910954d958cdba5e73e1ddfc858eeac49dd5b9536638e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2790",
    "kind": "arxiv",
    "version": 3
  }
}