Pith Number

pith:5KMZ7VZY

pith:2011:5KMZ7VZYUYH3BXQZV273VT5ZEW

not attested not anchored not stored refs pending

The effect of cosmic inhomogeneities on the average cosmological dynamics

T. P. Singh

arxiv:1105.3450 v1 · 2011-05-17 · 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{5KMZ7VZYUYH3BXQZV273VT5ZEW}

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	2026-05-18T04:22:00.023988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea999fd738a60fb0de19aebfbacfb925b920a884272f9df3b564121a14fab643

Aliases

arxiv: 1105.3450 · arxiv_version: 1105.3450v1 · doi: 10.48550/arxiv.1105.3450 · pith_short_12: 5KMZ7VZYUYH3 · pith_short_16: 5KMZ7VZYUYH3BXQZ · pith_short_8: 5KMZ7VZY

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/5KMZ7VZYUYH3BXQZV273VT5ZEW \
  | 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: ea999fd738a60fb0de19aebfbacfb925b920a884272f9df3b564121a14fab643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be21070cc18800c25fe890b6324d24ada6cca3b6ea27f12613c5a5593126067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-17T18:59:50Z",
    "title_canon_sha256": "f0b8a88126243357c51e4f1f1106d297390e3affa823066b0d9283966d681002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3450",
    "kind": "arxiv",
    "version": 1
  }
}