Pith Number

pith:FSWNXAEJ

pith:2010:FSWNXAEJHFNOFRPYIGY32KJOHB

not attested not anchored not stored refs pending

Photons and Baryons before Atoms: Improving the Tight-Coupling Approximation

Francis-Yan Cyr-Racine, Kris Sigurdson

arxiv:1012.0569 v3 · 2010-12-02 · astro-ph.CO · gr-qc · hep-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{FSWNXAEJHFNOFRPYIGY32KJOHB}

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	2026-05-18T02:23:16.473284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cacdb8089395ae2c5f841b1bd292e3857b5b2af5dfa771b5dc04b7befa644b7

Aliases

arxiv: 1012.0569 · arxiv_version: 1012.0569v3 · doi: 10.48550/arxiv.1012.0569 · pith_short_12: FSWNXAEJHFNO · pith_short_16: FSWNXAEJHFNOFRPY · pith_short_8: FSWNXAEJ

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/FSWNXAEJHFNOFRPYIGY32KJOHB \
  | 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: 2cacdb8089395ae2c5f841b1bd292e3857b5b2af5dfa771b5dc04b7befa644b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7387b8aff61c4d8bfe018c007aabbfde54cae00a8775eef7faaccb7e79d622ab",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-02T21:00:06Z",
    "title_canon_sha256": "07caa3010f90eb87e2fa01041a6a8149b2764db67a2189597422d32bc99a11bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0569",
    "kind": "arxiv",
    "version": 3
  }
}