Pith Number

pith:7NKDI522

pith:2026:7NKDI522TQJ6KT4FQAGNOITLUC

not attested not anchored not stored refs pending

Hubble tension in k-essence: Evidence for robust tension alleviation

Bishop Mongwane (Cape Town), Didam Duniya (BIUST), Hassan Abdalla (NWU, Isaac Opio (BIUST), Omdurman)

arxiv:2607.03569 v1 · 2026-07-03 · 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{7NKDI522TQJ6KT4FQAGNOITLUC}

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	2026-07-07T02:17:55.160227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb5434775a9c13e54f85800cd7226ba0a74896affe0d737ed4338504170ecce8

Aliases

arxiv: 2607.03569 · arxiv_version: 2607.03569v1 · doi: 10.48550/arxiv.2607.03569 · pith_short_12: 7NKDI522TQJ6 · pith_short_16: 7NKDI522TQJ6KT4F · pith_short_8: 7NKDI522

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/7NKDI522TQJ6KT4FQAGNOITLUC \
  | 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: fb5434775a9c13e54f85800cd7226ba0a74896affe0d737ed4338504170ecce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61354d07da9f8b7f9f8a6ede5784da1036b36f376cc87e58e19808fdd6187062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-03T19:18:39Z",
    "title_canon_sha256": "c7eedb31428699539d75a23dae6cf8bca442b4713f68ead96c0efbd9cf9500ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03569",
    "kind": "arxiv",
    "version": 1
  }
}