Pith Number

pith:BOIDK6QH

pith:2016:BOIDK6QHH7Q2CAZCS3G4GVY34X

not attested not anchored not stored refs pending

Ultra-local models of modified gravity without kinetic term

Luca Alberto Rizzo, Patrick Valageas, Philippe Brax

arxiv:1605.02938 v2 · 2016-05-10 · 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{BOIDK6QHH7Q2CAZCS3G4GVY34X}

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	2026-05-18T01:08:41.437182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b90357a073fe1a1032296cdc3571be5d3db3701eda230f1024bc170bcdaf64c

Aliases

arxiv: 1605.02938 · arxiv_version: 1605.02938v2 · doi: 10.48550/arxiv.1605.02938 · pith_short_12: BOIDK6QHH7Q2 · pith_short_16: BOIDK6QHH7Q2CAZC · pith_short_8: BOIDK6QH

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/BOIDK6QHH7Q2CAZCS3G4GVY34X \
  | 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: 0b90357a073fe1a1032296cdc3571be5d3db3701eda230f1024bc170bcdaf64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d565f03f90fa6cedd8d2be170ade0638d8f27f275280718990e734cd0ed01e94",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-05-10T11:01:01Z",
    "title_canon_sha256": "e969536f026ca45c3c0f6ef3366cbb453e59866b742f7664071f42f80ad4d58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02938",
    "kind": "arxiv",
    "version": 2
  }
}