Pith Number

pith:5NU76CH7

pith:2021:5NU76CH73MLCHXSBMWBWFEFLQN

not attested not anchored not stored refs pending

A simple parametrisation for coupled dark energy

Nelson J. Nunes, Tiago Barreiro, Vitor da Fonseca

arxiv:2104.14889 v2 · 2021-04-30 · 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{5NU76CH73MLCHXSBMWBWFEFLQN}

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	2026-07-05T03:41:24.825146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb69ff08ffdb1623de4165836290ab836a14863121a8a564b092920463dabde6

Aliases

arxiv: 2104.14889 · arxiv_version: 2104.14889v2 · doi: 10.48550/arxiv.2104.14889 · pith_short_12: 5NU76CH73MLC · pith_short_16: 5NU76CH73MLCHXSB · pith_short_8: 5NU76CH7

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/5NU76CH73MLCHXSBMWBWFEFLQN \
  | 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: eb69ff08ffdb1623de4165836290ab836a14863121a8a564b092920463dabde6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736ec2a8f9c232c95dcc7034b38bbed1930842397e47469c19966fc6a2384f61",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-04-30T10:22:52Z",
    "title_canon_sha256": "3416a82f46b3b8e6c4ed0bdadadd0e547d2129a700b386d0267f08cffa1315af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14889",
    "kind": "arxiv",
    "version": 2
  }
}