Pith Number

pith:PAZ2PS5R

pith:2000:PAZ2PS5RWOKYJOJW3FS7L2DYS5

not attested not anchored not stored refs pending

Reproducing the observed Cosmic microwave background anisotropies with causal scaling seeds

A. Melchiorri, M. Kunz, R. Durrer

arxiv:astro-ph/0010633 v2 · 2000-10-31 · 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{PAZ2PS5RWOKYJOJW3FS7L2DYS5}

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	2026-07-04T15:29:16.745597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7833a7cbb1b39584b936d965f5e878974f6d798289e3ca807a24425f001f572f

Aliases

arxiv: astro-ph/0010633 · arxiv_version: astro-ph/0010633v2 · doi: 10.48550/arxiv.astro-ph/0010633 · pith_short_12: PAZ2PS5RWOKY · pith_short_16: PAZ2PS5RWOKYJOJW · pith_short_8: PAZ2PS5R

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/PAZ2PS5RWOKYJOJW3FS7L2DYS5 \
  | 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: 7833a7cbb1b39584b936d965f5e878974f6d798289e3ca807a24425f001f572f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6479391158d581b7a16e7de04f73bd3f99cebb12b2306b2aeda4e79cdb77d6c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-10-31T10:49:34Z",
    "title_canon_sha256": "5990960bc3128fa50146e0b089d4643452094d165551fcad5311d7e5a5a7104c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010633",
    "kind": "arxiv",
    "version": 2
  }
}