Pith Number

pith:MUJTJPY5

pith:2020:MUJTJPY5LJBG42HOZGORXCZ7T7

not attested not anchored not stored refs pending

Growth of matter perturbations in the extended viscous dark energy models

R. SIlva, W. J. C. da Silva

arxiv:2011.09516 v2 · 2020-11-18 · 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{MUJTJPY5LJBG42HOZGORXCZ7T7}

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

In the Realm of the Hubble tension $-$ a Review of Solutions

Receipt and verification

First computed	2026-07-05T02:39:43.275499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651334bf1d5a426e68eec99d1b8b3f9ff7d79523b8b0c63d7c069a45564f021f

Aliases

arxiv: 2011.09516 · arxiv_version: 2011.09516v2 · doi: 10.48550/arxiv.2011.09516 · pith_short_12: MUJTJPY5LJBG · pith_short_16: MUJTJPY5LJBG42HO · pith_short_8: MUJTJPY5

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/MUJTJPY5LJBG42HOZGORXCZ7T7 \
  | 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: 651334bf1d5a426e68eec99d1b8b3f9ff7d79523b8b0c63d7c069a45564f021f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dde0695ad47ad8ccd1984340e607d52b3054336de6fe5f8f2221186bf297d3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-18T19:52:17Z",
    "title_canon_sha256": "56bbcc4abd5144737d45bbf191a85ff4bc3680e56c32ca65a7423f3c232bdeec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09516",
    "kind": "arxiv",
    "version": 2
  }
}