Pith Number

pith:YRN6CQZL

pith:2020:YRN6CQZLR3BLG5BAQAMNHEZGTC

not attested not anchored not stored refs pending

Velocity-dependent interacting dark energy and dark matter with a Lagrangian description of perfect fluids

Dario Bettoni, David Figueruelo, Florencia A. Teppa Pannia, Jose Beltr\'an Jim\'enez, Shinji Tsujikawa

arxiv:2012.12204 v2 · 2020-12-22 · 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{YRN6CQZLR3BLG5BAQAMNHEZGTC}

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	2026-07-05T02:31:47.677945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c45be1432b8ec2b374208018d3932698820ecc3230cb511862bce3111be78980

Aliases

arxiv: 2012.12204 · arxiv_version: 2012.12204v2 · doi: 10.48550/arxiv.2012.12204 · pith_short_12: YRN6CQZLR3BL · pith_short_16: YRN6CQZLR3BLG5BA · pith_short_8: YRN6CQZL

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/YRN6CQZLR3BLG5BAQAMNHEZGTC \
  | 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: c45be1432b8ec2b374208018d3932698820ecc3230cb511862bce3111be78980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9275541e061c452fe40fd2730f34a703c33d5ba7a1e667a9f7ab4ab2ca765d1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-12-22T17:48:33Z",
    "title_canon_sha256": "7a4d6629015f7e6178147bff8a7296a7409eac903ec13048cc41d3dbc5639bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12204",
    "kind": "arxiv",
    "version": 2
  }
}