Pith Number

pith:PFFXBUZK

pith:2017:PFFXBUZKKRXGUJ33RWPXO2UBSW

not attested not anchored not stored refs pending

Cosmic acceleration sourced by modification of gravity without extra degrees of freedom

Abhineet Agarwal, Anzhong Wang, M. Sami, R. Myrzakulov, S. K. J. Pacif

arxiv:1709.02133 v2 · 2017-09-07 · 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{PFFXBUZKKRXGUJ33RWPXO2UBSW}

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	2026-05-17T23:43:18.496090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794b70d32a546e6a277b8d9f776a8195b34e5ed02a777a916b378959e48d82fb

Aliases

arxiv: 1709.02133 · arxiv_version: 1709.02133v2 · doi: 10.48550/arxiv.1709.02133 · pith_short_12: PFFXBUZKKRXG · pith_short_16: PFFXBUZKKRXGUJ33 · pith_short_8: PFFXBUZK

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/PFFXBUZKKRXGUJ33RWPXO2UBSW \
  | 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: 794b70d32a546e6a277b8d9f776a8195b34e5ed02a777a916b378959e48d82fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822759ceff700300575dd08f67e027265de643b3ce2ce658a2ebf693fb2c4f46",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-09-07T08:26:34Z",
    "title_canon_sha256": "de02bd34868b520eebd58a20212e4697be763cceccde0bed94535ccf427b1177"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02133",
    "kind": "arxiv",
    "version": 2
  }
}