Pith Number

pith:7VPLNWB6

pith:1996:7VPLNWB6BXWT2OD2DW6SBT7BAD

not attested not anchored not stored refs pending

Anisotropies in the Cosmic Microwave Background: Theoretical Foundations

Ruth Durrer

arxiv:astro-ph/9610234 v1 · 1996-10-29 · 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{7VPLNWB6BXWT2OD2DW6SBT7BAD}

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	2026-05-18T04:24:26.513326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5eb6d83e0ded3d387a1dbd20cfe100e1ca0806393242dc41f028bf241b651a

Aliases

arxiv: astro-ph/9610234 · arxiv_version: astro-ph/9610234v1 · doi: 10.48550/arxiv.astro-ph/9610234 · pith_short_12: 7VPLNWB6BXWT · pith_short_16: 7VPLNWB6BXWT2OD2 · pith_short_8: 7VPLNWB6

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/7VPLNWB6BXWT2OD2DW6SBT7BAD \
  | 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: fd5eb6d83e0ded3d387a1dbd20cfe100e1ca0806393242dc41f028bf241b651a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1069f8d17eed272644a75055d2354319e8422fe4c1c46f18c18f06a7981f0bdd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-10-29T08:02:40Z",
    "title_canon_sha256": "74cb386b0a6981095bf051227365975007e46c87da60117858c0364243d724ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9610234",
    "kind": "arxiv",
    "version": 1
  }
}