Pith Number

pith:IQ4NBQOK

pith:1994:IQ4NBQOKFDNVZMZJKXMHBXDGV5

not attested not anchored not stored refs pending

Cosmic Microwave Anisotropies from Topological Defects in an Open Universe

David N. Spergel, Ue-Li Pen

arxiv:astro-ph/9408103 v1 · 1994-08-31 · astro-ph · 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{IQ4NBQOKFDNVZMZJKXMHBXDGV5}

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	2026-05-18T04:38:04.864264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4438d0c1ca28db5cb32955d870dc66af7c4aaa436c8b9fad15edf7a1e5f628cf

Aliases

arxiv: astro-ph/9408103 · arxiv_version: astro-ph/9408103v1 · doi: 10.48550/arxiv.astro-ph/9408103 · pith_short_12: IQ4NBQOKFDNV · pith_short_16: IQ4NBQOKFDNVZMZJ · pith_short_8: IQ4NBQOK

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/IQ4NBQOKFDNVZMZJKXMHBXDGV5 \
  | 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: 4438d0c1ca28db5cb32955d870dc66af7c4aaa436c8b9fad15edf7a1e5f628cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d0db829f9f0474ff9a68b5e11fb835905f4b788022f0e98dc4737d3b93b432",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1994-08-31T22:13:31Z",
    "title_canon_sha256": "d9ed0332fde937c1ee7f986fe9f469d3419955fae8a9b1ff9b55a3381d3882c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9408103",
    "kind": "arxiv",
    "version": 1
  }
}