Pith Number

pith:TRMSKWZZ

pith:2020:TRMSKWZZYASHM2AFETMOXXSNS6

not attested not anchored not stored refs pending

Scaling solutions and weak gravity in dark energy with energy and momentum couplings

Luca Amendola (Heidelberg University), Shinji Tsujikawa (Tokyo University of Science)

arxiv:2003.02686 v2 · 2020-03-04 · gr-qc · 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{TRMSKWZZYASHM2AFETMOXXSNS6}

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	2026-07-05T01:10:34.497585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c59255b39c02476680524d8ebde4d9793b5c1770c2509dd148438ce3c662679

Aliases

arxiv: 2003.02686 · arxiv_version: 2003.02686v2 · doi: 10.48550/arxiv.2003.02686 · pith_short_12: TRMSKWZZYASH · pith_short_16: TRMSKWZZYASHM2AF · pith_short_8: TRMSKWZZ

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/TRMSKWZZYASHM2AFETMOXXSNS6 \
  | 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: 9c59255b39c02476680524d8ebde4d9793b5c1770c2509dd148438ce3c662679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc08d25335e66a5f228aa143100fbe4cd711799a68ee7a50ebd9818ebc9c1f13",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-04T16:21:27Z",
    "title_canon_sha256": "03a0135583759bd5e7ff4fef48b9308197bb2d384d8e4eb7a5e644b7d6527efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.02686",
    "kind": "arxiv",
    "version": 2
  }
}