Pith Number

pith:4BGLPBE6

pith:1997:4BGLPBE63RH5VCADVKLM4FLN5Y

not attested not anchored not stored refs pending

Cosmological Baryon Sound Waves Coupled with the Primeval Radiation

Humitaka Sato, Kazuhiro Yamamoto, Naoshi Sugiyama

arxiv:astro-ph/9709209 v1 · 1997-09-22 · 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{4BGLPBE63RH5VCADVKLM4FLN5Y}

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	2026-07-04T16:03:15.278404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04cb7849edc4fda8803aa96ce156dee3ff45d89bb04f89412b6acf4348df28b

Aliases

arxiv: astro-ph/9709209 · arxiv_version: astro-ph/9709209v1 · doi: 10.48550/arxiv.astro-ph/9709209 · pith_short_12: 4BGLPBE63RH5 · pith_short_16: 4BGLPBE63RH5VCAD · pith_short_8: 4BGLPBE6

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/4BGLPBE63RH5VCADVKLM4FLN5Y \
  | 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: e04cb7849edc4fda8803aa96ce156dee3ff45d89bb04f89412b6acf4348df28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93b83f59bf1bdec70fd751598092aa798b17a11224d1f03ef8b0d247dcee69a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-09-22T13:24:26Z",
    "title_canon_sha256": "30dc4febf258dd2585fd150c9b0c2547b7a4080c905a911bca7c37a9b720c87a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9709209",
    "kind": "arxiv",
    "version": 1
  }
}