Pith Number

pith:WRYFG3NH

pith:2008:WRYFG3NHOI3CIH3THQA4AJOYVV

not attested not anchored not stored refs pending

The 21cm Power Spectrum After Reionization

Abraham Loeb, Stuart Wyithe

arxiv:0808.2323 v2 · 2008-08-18 · 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{WRYFG3NHOI3CIH3THQA4AJOYVV}

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	2026-05-18T02:15:43.189191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b470536da77236241f733c01c025d8ad62c9a4873eae6af2822be92c063d8dc1

Aliases

arxiv: 0808.2323 · arxiv_version: 0808.2323v2 · doi: 10.48550/arxiv.0808.2323 · pith_short_12: WRYFG3NHOI3C · pith_short_16: WRYFG3NHOI3CIH3T · pith_short_8: WRYFG3NH

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/WRYFG3NHOI3CIH3THQA4AJOYVV \
  | 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: b470536da77236241f733c01c025d8ad62c9a4873eae6af2822be92c063d8dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5665eb82e95ef6ac1febc27efe7a7254a2d4b1c1e5004409334ba477fc40df3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-08-18T00:12:53Z",
    "title_canon_sha256": "815d8ae1c7807e6f391ae0a3d7c4e9f85a1dd7450d493ca946706730c8b78483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2323",
    "kind": "arxiv",
    "version": 2
  }
}