Pith Number

pith:Z4KBMYSX

pith:2025:Z4KBMYSXY5AOUSAUEBTRTDLOB7

not attested not anchored not stored refs pending

Non-parametric exploration of minimally coupled gravity with phantom crossing

Kazuya Koyama, Matteo Cataneo

arxiv:2512.13691 v2 · 2025-12-15 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4KBMYSXY5AOUSAUEBTRTDLOB7}

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.

Cited by

3 papers in Pith

Charging Across the Phantom Divide with Modified Gravity

Constraints on Dynamical Dark Energy from Multiple Probes in the Full Dark Energy Survey

The sound of dynamical dark energy and modified gravity

Receipt and verification

First computed	2026-07-13T01:20:04.968749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf14166257c740ea48142067198d6e0ff36bc7a75f91607b9fcba707c75460f8

Aliases

arxiv: 2512.13691 · arxiv_version: 2512.13691v2 · doi: 10.48550/arxiv.2512.13691 · pith_short_12: Z4KBMYSXY5AO · pith_short_16: Z4KBMYSXY5AOUSAU · pith_short_8: Z4KBMYSX

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/Z4KBMYSXY5AOUSAUEBTRTDLOB7 \
  | 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: cf14166257c740ea48142067198d6e0ff36bc7a75f91607b9fcba707c75460f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30f9a48ababb73b73bda0ac0083008fbdd295b1fd9d6f7ef3a4f8aac952727a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-15T18:59:58Z",
    "title_canon_sha256": "bc44fd4e7dc78e3a906a05764e2ccd99ec658ba024e8856145fc2eb2ba663e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13691",
    "kind": "arxiv",
    "version": 2
  }
}