Pith Number

pith:XXXZ4LMV

pith:2026:XXXZ4LMVESNB5CFPWPFOD4TCFC

not attested not anchored not stored refs pending

Higher-Order Analytical Expansion of Thawing Dark Energy with an Exponential Potential

Kazunori Kohri, Naoto Maki

arxiv:2608.13488 v1 · 2026-08-13 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXXZ4LMVESNB5CFPWPFOD4TCFC}

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	2026-08-14T01:24:51.287640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdef9e2d95249a1e88afb3cae1f26228a157301c6b2280c9c66eeff346bc8777

Aliases

arxiv: 2608.13488 · arxiv_version: 2608.13488v1 · doi: 10.48550/arxiv.2608.13488 · pith_short_12: XXXZ4LMVESNB · pith_short_16: XXXZ4LMVESNB5CFP · pith_short_8: XXXZ4LMV

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/XXXZ4LMVESNB5CFPWPFOD4TCFC \
  | 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: bdef9e2d95249a1e88afb3cae1f26228a157301c6b2280c9c66eeff346bc8777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee96a45d420cda1f7ac3447355241e58d8d303f83e1b8999fb30986ab244e099",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-13T17:16:23Z",
    "title_canon_sha256": "f9270cddb4becd704d6cf7185501158fe7a99ff9aab06bfd6a1b863e3da1e84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13488",
    "kind": "arxiv",
    "version": 1
  }
}