Pith Number

pith:6GROHUIY

pith:2019:6GROHUIY2JRSKPFGZIMURCXCPL

not attested not anchored not stored refs pending

Band-limited Features in the Primordial Power Spectrum Do Not Resolve the Hubble Tension

Miaoxin Liu, Zhiqi Huang

arxiv:1910.05670 v2 · 2019-10-13 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GROHUIY2JRSKPFGZIMURCXCPL}

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	2026-07-05T01:19:36.677127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a2e3d118d263253ca6ca19488ae27ac0403f76ee9255fe4ae9dd4e4d2f1951

Aliases

arxiv: 1910.05670 · arxiv_version: 1910.05670v2 · doi: 10.48550/arxiv.1910.05670 · pith_short_12: 6GROHUIY2JRS · pith_short_16: 6GROHUIY2JRSKPFG · pith_short_8: 6GROHUIY

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/6GROHUIY2JRSKPFGZIMURCXCPL \
  | 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: f1a2e3d118d263253ca6ca19488ae27ac0403f76ee9255fe4ae9dd4e4d2f1951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee930dd2a0961a83ae3f7d0b3c416d1bfe970db90178f9626dd70f6b4ab8148a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-10-13T02:48:51Z",
    "title_canon_sha256": "0710bc129e07ffd947aeec76e277f8643e23392937531af988f5091382ec5474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.05670",
    "kind": "arxiv",
    "version": 2
  }
}