Pith Number

pith:UM2G6EBV

pith:2005:UM2G6EBV3C2OSNGU6TOKTWUQM4

not attested not anchored not stored refs pending

Growth of Linear Perturbations before the Era of the First Galaxies

Rennan Barkana (1) ((1) Tel Aviv University), Smadar Naoz (1)

arxiv:astro-ph/0503196 v2 · 2005-03-08 · 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{UM2G6EBV3C2OSNGU6TOKTWUQM4}

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	2026-05-18T04:33:50.885499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3346f1035d8b4e934d4f4dca9da90672b99d95d9ab23b08c303438a43991ef8

Aliases

arxiv: astro-ph/0503196 · arxiv_version: astro-ph/0503196v2 · doi: 10.48550/arxiv.astro-ph/0503196 · pith_short_12: UM2G6EBV3C2O · pith_short_16: UM2G6EBV3C2OSNGU · pith_short_8: UM2G6EBV

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/UM2G6EBV3C2OSNGU6TOKTWUQM4 \
  | 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: a3346f1035d8b4e934d4f4dca9da90672b99d95d9ab23b08c303438a43991ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000d8a51e6164c998f65cc97b29608b5a5c017eae44d67f5ebed9ea023c25e27",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-08T21:15:12Z",
    "title_canon_sha256": "3628d7b537cb93767b6d27f72cbdd5f5f76d97288a161a5fb3c5c99c9016e357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503196",
    "kind": "arxiv",
    "version": 2
  }
}