Pith Number

pith:6JJPWBS5

pith:2026:6JJPWBS5E6NX5UXKSJ3KDM7ISP

not attested not anchored not stored refs pending

Physics-guided discovery of dynamical dark-energy equations of state through iterative AI reasoning

Armando Bernui, Bernardo M. Fraga, Clecio R. Bom, Gustavo Schwarz, Miguel A. Sabogal, Phelipe Darc

arxiv:2606.19427 v1 · 2026-06-17 · astro-ph.CO · astro-ph.IM · physics.comp-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JJPWBS5E6NX5UXKSJ3KDM7ISP}

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	2026-06-19T16:12:25.330448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f252fb065d279b7ed2ea9276a1b3e893d0e2f84d88c06e6c14040556b94144b9

Aliases

arxiv: 2606.19427 · arxiv_version: 2606.19427v1 · doi: 10.48550/arxiv.2606.19427 · pith_short_12: 6JJPWBS5E6NX · pith_short_16: 6JJPWBS5E6NX5UXK · pith_short_8: 6JJPWBS5

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/6JJPWBS5E6NX5UXKSJ3KDM7ISP \
  | 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: f252fb065d279b7ed2ea9276a1b3e893d0e2f84d88c06e6c14040556b94144b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde67a542c07940952e2cafbf43a9a03e036e8f4cebfe26f91360ca899c4878b",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "physics.comp-ph",
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-17T18:00:01Z",
    "title_canon_sha256": "50af55ab53c2d2a97d0a566fb7fbf3c0d50a3dadbd554f3c1649d2e9d83773c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19427",
    "kind": "arxiv",
    "version": 1
  }
}