Pith Number

pith:4AIJ6J7K

pith:2003:4AIJ6J7K6FMEXLJKTO5KN2C7WZ

not attested not anchored not stored refs pending

Effects of the Sound Speed of Quintessence on the Microwave Background and Large Scale Structure

Paul J. Steinhardt, R.R. Caldwell, Simon DeDeo

arxiv:astro-ph/0301284 v4 · 2003-01-15 · 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{4AIJ6J7K6FMEXLJKTO5KN2C7WZ}

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	2026-05-18T02:40:27.152653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0109f27eaf1584bad2a9bbaa6e85fb660a8d26f45b722f4609eaddf34e1b09b

Aliases

arxiv: astro-ph/0301284 · arxiv_version: astro-ph/0301284v4 · doi: 10.48550/arxiv.astro-ph/0301284 · pith_short_12: 4AIJ6J7K6FME · pith_short_16: 4AIJ6J7K6FMEXLJK · pith_short_8: 4AIJ6J7K

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/4AIJ6J7K6FMEXLJKTO5KN2C7WZ \
  | 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: e0109f27eaf1584bad2a9bbaa6e85fb660a8d26f45b722f4609eaddf34e1b09b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aa6175626eb1ca02f4503017eaac26556990c1b7273b1780a6f45b2bc1e8a51",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-01-15T06:40:49Z",
    "title_canon_sha256": "ce079f4414b62665bea27a4f30daa7b98ce4f4db61cef7892ede6f28ae7aebcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0301284",
    "kind": "arxiv",
    "version": 4
  }
}