Pith Number

pith:M5PTZYUI

pith:2021:M5PTZYUI5MNWDBX5XP6WZZGWTH

not attested not anchored not stored refs pending

Dark energy model with very large-scale inhomogeneity

Kazuhiro Yamamoto, Yue Nan

arxiv:2111.14174 v2 · 2021-11-28 · 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{M5PTZYUI5MNWDBX5XP6WZZGWTH}

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.

Cited by

1 paper in Pith

Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles

Receipt and verification

First computed	2026-07-05T04:12:37.181542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675f3ce288eb1b6186fdbbfd6ce4d699d6c53bb70cec4f195932ebb5a632ac51

Aliases

arxiv: 2111.14174 · arxiv_version: 2111.14174v2 · doi: 10.48550/arxiv.2111.14174 · pith_short_12: M5PTZYUI5MNW · pith_short_16: M5PTZYUI5MNWDBX5 · pith_short_8: M5PTZYUI

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/M5PTZYUI5MNWDBX5XP6WZZGWTH \
  | 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: 675f3ce288eb1b6186fdbbfd6ce4d699d6c53bb70cec4f195932ebb5a632ac51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa9bded83d379348de7868be08fd0f1122be953867eb9a8e801a1f6e5fac767",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-28T15:20:06Z",
    "title_canon_sha256": "a25986c07fde4fb4ca7964ca0b4a8309813fb17338240050e656cc0256e04a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14174",
    "kind": "arxiv",
    "version": 2
  }
}