Pith Number

pith:J46A2DLW

pith:2013:J46A2DLWCK46CLHXF75RNT7WXQ

not attested not anchored not stored refs pending

Simple expressions for second order density perturbations in standard cosmology

Claes Uggla, John Wainwright

arxiv:1312.1929 v2 · 2013-12-06 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J46A2DLWCK46CLHXF75RNT7WXQ}

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	2026-05-18T01:45:57.771259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3c0d0d7612b9e12cf72ffb16cff6bc2d5b5b4317c19e146a56211ad6fb9a9a

Aliases

arxiv: 1312.1929 · arxiv_version: 1312.1929v2 · doi: 10.48550/arxiv.1312.1929 · pith_short_12: J46A2DLWCK46 · pith_short_16: J46A2DLWCK46CLHX · pith_short_8: J46A2DLW

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/J46A2DLWCK46CLHXF75RNT7WXQ \
  | 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: 4f3c0d0d7612b9e12cf72ffb16cff6bc2d5b5b4317c19e146a56211ad6fb9a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ebdd633211327604dceafd278a792f2f257e2d2d31ccdf1290e44c498fae47",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-06T17:09:43Z",
    "title_canon_sha256": "34070acf3f921aefc729419561524718de62adf97082e188a401045995b072de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1929",
    "kind": "arxiv",
    "version": 2
  }
}