Pith Number

pith:ZOCBPDUP

pith:2020:ZOCBPDUPPBAI7RGDQYPPYPJNRS

not attested not anchored not stored refs pending

Mukhanov-Sasaki equation in manifestly gauge-invariant linearized cosmological perturbation theory with dust reference fields

Bao-Fei Li, Kristina Giesel, Laura Herold, Parampreet Singh

arxiv:2003.13729 v2 · 2020-03-30 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOCBPDUPPBAI7RGDQYPPYPJNRS}

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	2026-07-05T01:20:56.328125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb84178e8f78408fc4c3861efc3d2d8cbb93e159e4200e67cf366a6ea54bc8cc

Aliases

arxiv: 2003.13729 · arxiv_version: 2003.13729v2 · doi: 10.48550/arxiv.2003.13729 · pith_short_12: ZOCBPDUPPBAI · pith_short_16: ZOCBPDUPPBAI7RGD · pith_short_8: ZOCBPDUP

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/ZOCBPDUPPBAI7RGDQYPPYPJNRS \
  | 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: cb84178e8f78408fc4c3861efc3d2d8cbb93e159e4200e67cf366a6ea54bc8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41ec3ba56719aac97cce753a72ff2424767c11facd14bb51b171c87eee1cf63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-30T18:23:36Z",
    "title_canon_sha256": "734285e103608919e221cf1110547b9e73adb734b60dde7e7815530b7198a7de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13729",
    "kind": "arxiv",
    "version": 2
  }
}