Pith Number

pith:IKBUWC5K

pith:2026:IKBUWC5KJNJKFKVAQP7NIJJRHL

not attested not anchored not stored refs pending

Unifying Early and Late Dark Energy: Dynamical Requirements and Obstructions

Jeremy Sakstein, William Giar\`e

arxiv:2605.26116 v1 · 2026-05-25 · astro-ph.CO · gr-qc · 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{IKBUWC5KJNJKFKVAQP7NIJJRHL}

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	2026-05-26T03:05:25.184254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42834b0baa4b52a2aaa083fed425313ac2fcc0f372ee59c40b377f5ac376f80e

Aliases

arxiv: 2605.26116 · arxiv_version: 2605.26116v1 · doi: 10.48550/arxiv.2605.26116 · pith_short_12: IKBUWC5KJNJK · pith_short_16: IKBUWC5KJNJKFKVA · pith_short_8: IKBUWC5K

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/IKBUWC5KJNJKFKVAQP7NIJJRHL \
  | 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: 42834b0baa4b52a2aaa083fed425313ac2fcc0f372ee59c40b377f5ac376f80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "388a17d8a42adb967d0520349ed7a5f07f49f37e357e3a1de2ecf24b6c072e41",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-25T17:59:53Z",
    "title_canon_sha256": "8ff0a4e4365ea688f214c2874663af229af364e7540f9fefb55e96d0dcbcef08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26116",
    "kind": "arxiv",
    "version": 1
  }
}