Pith Number

pith:R7TQMKDC

pith:2021:R7TQMKDCXAPSRJM2CZNHSMQJQB

not attested not anchored not stored refs pending

Cosmological Perturbation Theory in $f(Q,T)$ Gravity

Amanda Fajardo, Antonio N\'ajera

arxiv:2111.04205 v2 · 2021-11-07 · gr-qc · 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{R7TQMKDCXAPSRJM2CZNHSMQJQB}

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	2026-07-05T04:03:37.998571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe7062862b81f28a59a165a793209807c620801d58a0f6b4b5e5a1bee2dfb08

Aliases

arxiv: 2111.04205 · arxiv_version: 2111.04205v2 · doi: 10.48550/arxiv.2111.04205 · pith_short_12: R7TQMKDCXAPS · pith_short_16: R7TQMKDCXAPSRJM2 · pith_short_8: R7TQMKDC

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/R7TQMKDCXAPSRJM2CZNHSMQJQB \
  | 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: 8fe7062862b81f28a59a165a793209807c620801d58a0f6b4b5e5a1bee2dfb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99817b9150c9f9bbe71adad86fc5ffd1f29e0f5932d4bdcc152b2ad9090e464c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-11-07T23:44:54Z",
    "title_canon_sha256": "1b5ca21c2982d64da6d113f9714a816edd6b7ff9ca79814d947b369d6c86f02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.04205",
    "kind": "arxiv",
    "version": 2
  }
}