Pith Number

pith:MCXJIKYU

pith:2021:MCXJIKYUD52AHYKXDPB5FV6YIG

not attested not anchored not stored refs pending

The $H_0$ and $S_8$ tensions necessitate early and late time changes to $\Lambda$CDM

JiJi Fan, Kyriakos Vattis, Savvas M. Koushiappas, Steven J. Clark

arxiv:2110.09562 v1 · 2021-10-18 · astro-ph.CO · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCXJIKYUD52AHYKXDPB5FV6YIG}

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

Geometric Constraints on the Pre-Recombination Expansion History from the Hubble Tension

Receipt and verification

First computed	2026-07-05T03:23:30.351266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ae942b141f7403e1571bc3d2d7d841957d31396427f408839f0604e01126a2

Aliases

arxiv: 2110.09562 · arxiv_version: 2110.09562v1 · doi: 10.48550/arxiv.2110.09562 · pith_short_12: MCXJIKYUD52A · pith_short_16: MCXJIKYUD52AHYKX · pith_short_8: MCXJIKYU

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/MCXJIKYUD52AHYKXDPB5FV6YIG \
  | 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: 60ae942b141f7403e1571bc3d2d7d841957d31396427f408839f0604e01126a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc3ed3ab57b93aff446307eb15eab1de85aa38dc74c49f6704a700b8f457e14",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-10-18T18:24:02Z",
    "title_canon_sha256": "7d708a7f56223e20c75f176af3c9189cff4c6f5f345c74ba22951c99fb77a363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09562",
    "kind": "arxiv",
    "version": 1
  }
}