Pith Number

pith:W6CWBH4Q

pith:2025:W6CWBH4QGYGDRQPFE5LEI3K5F7

not attested not anchored not stored refs pending

Accelerating Expansion of the Universe in modified gravity with quadratic terms

Aaqid Bhat

arxiv:2507.17794 v1 · 2025-07-23 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6CWBH4QGYGDRQPFE5LEI3K5F7}

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	2026-07-05T11:42:35.379952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b785609f90360c38c1e52756446d5d2ffb794a3143fd842de8275977f22c0a5b

Aliases

arxiv: 2507.17794 · arxiv_version: 2507.17794v1 · doi: 10.48550/arxiv.2507.17794 · pith_short_12: W6CWBH4QGYGD · pith_short_16: W6CWBH4QGYGDRQPF · pith_short_8: W6CWBH4Q

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/W6CWBH4QGYGDRQPFE5LEI3K5F7 \
  | 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: b785609f90360c38c1e52756446d5d2ffb794a3143fd842de8275977f22c0a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a26ff684251b3a84d4db5ad08cf228c6dcfe5e102fd6fab316d230c81ff4bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-23T10:54:44Z",
    "title_canon_sha256": "fb3d79dc1857bafabcaf5f5467bfcbc5b4c3a538679fbdbdd07ea32135ee9b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17794",
    "kind": "arxiv",
    "version": 1
  }
}