Pith Number

pith:QG6XF5BK

pith:1996:QG6XF5BKDDD6ACDGSJAZZE4RL5

not attested not anchored not stored refs pending

The Sachs-Wolfe Effect

Martin White, Wayne Hu

arxiv:astro-ph/9609105 v1 · 1996-09-16 · 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{QG6XF5BKDDD6ACDGSJAZZE4RL5}

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	2026-07-04T15:48:03.033305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bd72f42a18c7e0086692419c93915f4c2f7dc6b3973c5579c3b1744ef0d4d8

Aliases

arxiv: astro-ph/9609105 · arxiv_version: astro-ph/9609105v1 · doi: 10.48550/arxiv.astro-ph/9609105 · pith_short_12: QG6XF5BKDDD6 · pith_short_16: QG6XF5BKDDD6ACDG · pith_short_8: QG6XF5BK

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/QG6XF5BKDDD6ACDGSJAZZE4RL5 \
  | 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: 81bd72f42a18c7e0086692419c93915f4c2f7dc6b3973c5579c3b1744ef0d4d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c71325f3dc64169b678fb9fdf849d352014b41eb84c784068cdfd64284f10c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-09-16T20:40:37Z",
    "title_canon_sha256": "d4506c9bda43a4bce82b01c4f1f9232b679a8219dd678456430d6b0860c0a993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9609105",
    "kind": "arxiv",
    "version": 1
  }
}