Pith Number

pith:HJ76ODAM

pith:2026:HJ76ODAMKCNCHYMIEAX47OLNQE

not attested not anchored not stored refs pending

Phantom-Divide Crossing in Barrow-Tsallis Holographic Dark Energy with a Scale-Dependent Barrow Exponent

D. A. Yerokhin

arxiv:2607.26089 v1 · 2026-07-27 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ76ODAMKCNCHYMIEAX47OLNQE}

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	2026-07-30T00:08:19.843843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

3a7fe70c0c509a23e188202fcfb96d812f3c8604c3c99ca57e717b9394fada35

Aliases

arxiv: 2607.26089 · arxiv_version: 2607.26089v1 · doi: 10.48550/arxiv.2607.26089 · pith_short_12: HJ76ODAMKCNC · pith_short_16: HJ76ODAMKCNCHYMI · pith_short_8: HJ76ODAM

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/HJ76ODAMKCNCHYMIEAX47OLNQE \
  | 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: 3a7fe70c0c509a23e188202fcfb96d812f3c8604c3c99ca57e717b9394fada35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f76b90b0f551de01f37103796384281415ce93faaf95218a3b3756117ab6ab7",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-27T18:20:37Z",
    "title_canon_sha256": "70a3211412e7a71568e93890e63a2d29a7d226e9d470050cedf956ba91f52c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26089",
    "kind": "arxiv",
    "version": 1
  }
}