Pith Number

pith:3IJMOKDC

pith:2000:3IJMOKDCJJ2BZCFPEN7FXXVLPG

not attested not anchored not stored refs pending

The cosmic microwave background bispectrum as a test of the physics of inflation and probe of the astrophysics of the low-redshift universe

David N. Spergel (Princeton University), Eiichiro Komatsu

arxiv:astro-ph/0012197 v1 · 2000-12-09 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IJMOKDCJJ2BZCFPEN7FXXVLPG}

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	2026-05-18T00:37:17.920231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da12c728624a741c88af237e5bdeab79a52d91801d5a3a45c63d785b84bb2355

Aliases

arxiv: astro-ph/0012197 · arxiv_version: astro-ph/0012197v1 · doi: 10.48550/arxiv.astro-ph/0012197 · pith_short_12: 3IJMOKDCJJ2B · pith_short_16: 3IJMOKDCJJ2BZCFP · pith_short_8: 3IJMOKDC

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/3IJMOKDCJJ2BZCFPEN7FXXVLPG \
  | 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: da12c728624a741c88af237e5bdeab79a52d91801d5a3a45c63d785b84bb2355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07ac15651eeff8a7585b56cb84c5a1bc673ada10d5f4afee307bbec666444e9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-12-09T03:05:29Z",
    "title_canon_sha256": "0db67b3da7e4ab5cd21c65a4b46048a11af22ddf9d790e7481cf3f4e3868aa23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0012197",
    "kind": "arxiv",
    "version": 1
  }
}