Pith Number

pith:SQTAEG3X

pith:2020:SQTAEG3X4ATQFOBWCUKRB3JG7H

not attested not anchored not stored refs pending

Relativistic viscous effects on the primordial gravitational waves spectrum

Nahuel Mir\'on-Granese

arxiv:2012.11422 v3 · 2020-12-21 · 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{SQTAEG3X4ATQFOBWCUKRB3JG7H}

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

From inflation to hot big bang -- a tutorial on cosmological perturbations

Receipt and verification

First computed	2026-07-05T02:46:01.874400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9426021b77e02702b836151510ed26f9f5b20971bbf16260679511bef0f6bb58

Aliases

arxiv: 2012.11422 · arxiv_version: 2012.11422v3 · doi: 10.48550/arxiv.2012.11422 · pith_short_12: SQTAEG3X4ATQ · pith_short_16: SQTAEG3X4ATQFOBW · pith_short_8: SQTAEG3X

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/SQTAEG3X4ATQFOBWCUKRB3JG7H \
  | 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: 9426021b77e02702b836151510ed26f9f5b20971bbf16260679511bef0f6bb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6256cfd5750f33a32917c7bda11bf5bc974064d6e303b49c429c5866c195a0c3",
    "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": "2020-12-21T15:24:26Z",
    "title_canon_sha256": "159bd17adbdb84801804678ba2c8f04b917b089acb8b733a104d426571adae6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11422",
    "kind": "arxiv",
    "version": 3
  }
}