Pith Number

pith:Y52RHBZV

pith:2021:Y52RHBZVOFJHSG77FSAAAXPUQG

not attested not anchored not stored refs pending

Symmetry of Cosmological Observables, and a High Hubble Constant as an Indicator of a Mirror World Dark Sector

Fei Ge, Francis-Yan Cyr-Racine, Lloyd Knox

arxiv:2107.13000 v2 · 2021-07-27 · 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{Y52RHBZVOFJHSG77FSAAAXPUQG}

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

3 papers in Pith

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension

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

Double the axions, half the tension: multi-field early dark energy eases the Hubble tension

Receipt and verification

First computed	2026-07-05T04:26:33.348979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7751387357152791bff2c80005df481a720069ab8ac01efc03c2442ffdf401c

Aliases

arxiv: 2107.13000 · arxiv_version: 2107.13000v2 · doi: 10.48550/arxiv.2107.13000 · pith_short_12: Y52RHBZVOFJH · pith_short_16: Y52RHBZVOFJHSG77 · pith_short_8: Y52RHBZV

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/Y52RHBZVOFJHSG77FSAAAXPUQG \
  | 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: c7751387357152791bff2c80005df481a720069ab8ac01efc03c2442ffdf401c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280b9c940902e125e807bf5daf673413bce68d742dc49a6364b110a0b4b01657",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-07-27T18:00:00Z",
    "title_canon_sha256": "21f33d0c6913ccd959d8dbe54d9f70854506a33852f6c6ce215296735781011f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13000",
    "kind": "arxiv",
    "version": 2
  }
}