Pith Number

pith:3JT27TWR

pith:1998:3JT27TWRTQTIR57DDE4HEXWVX4

not attested not anchored not stored refs pending

Secondary CMB anisotropies in a universe reionized in patches

Andrei Gruzinov & Wayne Hu (IAS)

arxiv:astro-ph/9803188 v1 · 1998-03-17 · 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{3JT27TWRTQTIR57DDE4HEXWVX4}

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.

Cited by

1 paper in Pith

Planck 2018 results. VI. Cosmological parameters

Receipt and verification

First computed	2026-07-04T16:06:14.526652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da67afced19c2688f7e31938725ed5bf3cc457b67fc40e697bb89eeb9ea0790c

Aliases

arxiv: astro-ph/9803188 · arxiv_version: astro-ph/9803188v1 · doi: 10.48550/arxiv.astro-ph/9803188 · pith_short_12: 3JT27TWRTQTI · pith_short_16: 3JT27TWRTQTIR57D · pith_short_8: 3JT27TWR

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/3JT27TWRTQTIR57DDE4HEXWVX4 \
  | 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: da67afced19c2688f7e31938725ed5bf3cc457b67fc40e697bb89eeb9ea0790c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30004446f89dac8768295bddfd2d8c759f0bff3ff361b5368f015eeb19d5e9f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-03-17T01:32:47Z",
    "title_canon_sha256": "77b83d8d65de37556a1e5c7b11f6e9f2ed6e74c195e6421b8db0b08cf1dd1c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9803188",
    "kind": "arxiv",
    "version": 1
  }
}