Pith Number

pith:QWWTGNXM

pith:2003:QWWTGNXMNYNLPIS4P7HB6ZIE7L

not attested not anchored not stored refs pending

The Reionization History at High Redshifts II: Estimating the Optical Depth to Thomson Scattering from CMB Polarization

Gilbert Holder, Lloyd Knox, Manoj Kaplinghat, Zoltan Haiman

arxiv:astro-ph/0302404 v2 · 2003-02-20 · 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{QWWTGNXMNYNLPIS4P7HB6ZIE7L}

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	2026-07-04T15:43:47.979689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ad3336ec6e1ab7a25c7fce1f6504fad5f9fe3bf8c118f13504e8e516320d32

Aliases

arxiv: astro-ph/0302404 · arxiv_version: astro-ph/0302404v2 · doi: 10.48550/arxiv.astro-ph/0302404 · pith_short_12: QWWTGNXMNYNL · pith_short_16: QWWTGNXMNYNLPIS4 · pith_short_8: QWWTGNXM

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/QWWTGNXMNYNLPIS4P7HB6ZIE7L \
  | 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: 85ad3336ec6e1ab7a25c7fce1f6504fad5f9fe3bf8c118f13504e8e516320d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7989700c4fcce630ecde8d90845bc4819995dc00c91f838dd469bf85a5c3048d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-02-20T20:38:14Z",
    "title_canon_sha256": "e4c7314f9e640b71fe191aaa5f45b5f20fdf372fa726c4c2e056b598efa6976d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0302404",
    "kind": "arxiv",
    "version": 2
  }
}