Pith Number

pith:ZVBQIVDP

pith:2026:ZVBQIVDPAMDY3W3RPLVMRBTQSO

not attested not anchored not stored refs pending

Varying Gravity from a Modified Fractional Model: Observational Constraints and Slow-Fast Dynamics

Esteban Gonz\'alez, Genly Leon, Kevin Marroqu\'in, Rami Ahmad El-Nabulsi

arxiv:2607.09722 v1 · 2026-06-27 · physics.gen-ph · 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{ZVBQIVDPAMDY3W3RPLVMRBTQSO}

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	2026-07-14T00:18:32.117293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd4304546f03078ddb717aeac88670938108070b32246ac6ff2cae474227141c

Aliases

arxiv: 2607.09722 · arxiv_version: 2607.09722v1 · doi: 10.48550/arxiv.2607.09722 · pith_short_12: ZVBQIVDPAMDY · pith_short_16: ZVBQIVDPAMDY3W3R · pith_short_8: ZVBQIVDP

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/ZVBQIVDPAMDY3W3RPLVMRBTQSO \
  | 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: cd4304546f03078ddb717aeac88670938108070b32246ac6ff2cae474227141c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b1be65a8ff2bbda9db5ac0cbc80e44d5bca0a47b76c9de5c7f36e491c95859",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2026-06-27T23:21:10Z",
    "title_canon_sha256": "483c2f88b16ded21105f91c9a9023948c0d64fa890f6a3fd2b40d2c2e478c8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09722",
    "kind": "arxiv",
    "version": 1
  }
}