Pith Number

pith:IJDOJKZK

pith:2010:IJDOJKZKEUP6IZR2Q6WOYLTFEV

not attested not anchored not stored refs pending

An analytical approximation of the growth function in Friedmann-Lema\^itre universes

Masumi Kasai

arxiv:1012.2671 v1 · 2010-12-13 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJDOJKZKEUP6IZR2Q6WOYLTFEV}

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

Analytic compression of the effective field theory of the Lyman-alpha forest

Receipt and verification

First computed	2026-05-18T04:33:28.021983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4246e4ab2a251fe4663a87acec2e652568470e864988e566d7311fe0b8983c05

Aliases

arxiv: 1012.2671 · arxiv_version: 1012.2671v1 · doi: 10.48550/arxiv.1012.2671 · pith_short_12: IJDOJKZKEUP6 · pith_short_16: IJDOJKZKEUP6IZR2 · pith_short_8: IJDOJKZK

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/IJDOJKZKEUP6IZR2Q6WOYLTFEV \
  | 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: 4246e4ab2a251fe4663a87acec2e652568470e864988e566d7311fe0b8983c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1d516cf2a6f8f296c158d4a29c976b7ac13f15e2efd9cb541c9cdf73747fb82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-13T09:36:59Z",
    "title_canon_sha256": "b4b51a5c1bae9832a13017379f8ee57ab2548ca0abdb7eb482e442ce73f50d87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2671",
    "kind": "arxiv",
    "version": 1
  }
}