Pith Number

pith:ZTFTYNRK

pith:2017:ZTFTYNRKMQYWHBKOF67OD7SVUM

not attested not anchored not stored refs pending

Exact non-linear equations for cosmological perturbations

David Wu, Hyerim Noh, Jai-chan Hwang, Jaiyul Yoo, Jinn-Ouk Gong

arxiv:1706.07753 v3 · 2017-06-23 · 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{ZTFTYNRKMQYWHBKOF67OD7SVUM}

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	2026-05-18T00:32:25.640478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cccb3c362a643163854e2fbee1fe55a326dae6075f8687b45d101883716436d5

Aliases

arxiv: 1706.07753 · arxiv_version: 1706.07753v3 · doi: 10.48550/arxiv.1706.07753 · pith_short_12: ZTFTYNRKMQYW · pith_short_16: ZTFTYNRKMQYWHBKO · pith_short_8: ZTFTYNRK

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/ZTFTYNRKMQYWHBKOF67OD7SVUM \
  | 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: cccb3c362a643163854e2fbee1fe55a326dae6075f8687b45d101883716436d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007a7a236b9066088dcdba0b702be999bdaa079b987669b1518b8afce3f998d6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-23T15:41:26Z",
    "title_canon_sha256": "99309ac36d4c9a94cd74b817dce56a7d36084cfcc7e9dcc03fad0228912453df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07753",
    "kind": "arxiv",
    "version": 3
  }
}