Pith Number

pith:AYDKN3UH

pith:2007:AYDKN3UHQUBDNKO4ZHN6BPW2B5

not attested not anchored not stored refs pending

Linear effects of perturbed recombination

Antony Lewis

arxiv:0707.2727 v1 · 2007-07-18 · 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{AYDKN3UHQUBDNKO4ZHN6BPW2B5}

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.

Cited by

1 paper in Pith

The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes

Receipt and verification

First computed	2026-07-04T15:21:21.512520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0606a6ee87850236a9dcc9dbe0beda0f5e240aeb40457fc4ec65b4ffde5b36a1

Aliases

arxiv: 0707.2727 · arxiv_version: 0707.2727v1 · doi: 10.48550/arxiv.0707.2727 · pith_short_12: AYDKN3UHQUBD · pith_short_16: AYDKN3UHQUBDNKO4 · pith_short_8: AYDKN3UH

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/AYDKN3UHQUBDNKO4ZHN6BPW2B5 \
  | 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: 0606a6ee87850236a9dcc9dbe0beda0f5e240aeb40457fc4ec65b4ffde5b36a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692ce0e64bc5b2efe119bd86982dc3d568af4ab8ef0b56be7053fa3bf5d21c3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-07-18T14:20:07Z",
    "title_canon_sha256": "1f6b8cc8518f06d190acead077a9ec083c6a9f7e1582584572b636030c363a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2727",
    "kind": "arxiv",
    "version": 1
  }
}