Pith Number

pith:MPWS2LPX

pith:2020:MPWS2LPX45FTRFO5TJ5TMBGJPE

not attested not anchored not stored refs pending

The nature of cosmological metric perturbations in presence of gravitational particle production

Anirban Chatterjee, Kaushik Bhattacharya, Saddam Hussain

arxiv:2007.00904 v3 · 2020-07-02 · gr-qc · astro-ph.CO · 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{MPWS2LPX45FTRFO5TJ5TMBGJPE}

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	2026-07-05T04:45:09.149122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ed2d2df7e74b3895dd9a7b3604c97911b053021f777e05e4684dc85aab5614

Aliases

arxiv: 2007.00904 · arxiv_version: 2007.00904v3 · doi: 10.48550/arxiv.2007.00904 · pith_short_12: MPWS2LPX45FT · pith_short_16: MPWS2LPX45FTRFO5 · pith_short_8: MPWS2LPX

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/MPWS2LPX45FTRFO5TJ5TMBGJPE \
  | 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: 63ed2d2df7e74b3895dd9a7b3604c97911b053021f777e05e4684dc85aab5614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd67ac84d2224bb875527988ab3eb26eb6ebe5da211e1cd0eb752aa98bbfade1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-07-02T06:23:09Z",
    "title_canon_sha256": "42bf54302385fbd0a28d70f9d144a33e0e2897286fbc6b22e2f51fa6c4c1996b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00904",
    "kind": "arxiv",
    "version": 3
  }
}