Pith Number

pith:L72TFIRE

pith:2021:L72TFIRECBR5VVIA6GISSKNIQG

not attested not anchored not stored refs pending

Multi-interacting dark energy and its cosmological implications

Matteo Lucca

arxiv:2106.15196 v2 · 2021-06-29 · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L72TFIRECBR5VVIA6GISSKNIQG}

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

1 paper in Pith

Unifying Early and Late Dark Energy: Dynamical Requirements and Obstructions

Receipt and verification

First computed	2026-07-05T03:21:52.711740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff532a2241063dad500f1912929a88180d8b2a8ba00f0e315c9da0478eaa216

Aliases

arxiv: 2106.15196 · arxiv_version: 2106.15196v2 · doi: 10.48550/arxiv.2106.15196 · pith_short_12: L72TFIRECBR5 · pith_short_16: L72TFIRECBR5VVIA · pith_short_8: L72TFIRE

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/L72TFIRECBR5VVIA6GISSKNIQG \
  | 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: 5ff532a2241063dad500f1912929a88180d8b2a8ba00f0e315c9da0478eaa216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bb497c07a32c68fd7ed64c0d6850a0be3ebddb2ccc9c87d859bac042ae7cd5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-06-29T09:30:48Z",
    "title_canon_sha256": "fee29ffc78b1936337dd0ba3d4bec5aa7dc1d99c8d8a92d47b42077ee54e6732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15196",
    "kind": "arxiv",
    "version": 2
  }
}